S. E. Agbemava, A. V. Afanasjev, and P. Ring, Octupole deformation in the ground states of even-even nuclei: A global analysis within the covariant density functional theory, Phys. Rev. C, vol.93, p.44304, 2016.

S. E. Agbemava, A. V. Afanasjev, D. Ray, and P. Ring, Global performance of covariant energy density functionals: Ground state observables of eveneven nuclei and the estimate of theoretical uncertainties, Phys. Rev. C, vol.89, p.54320, 2014.

S. Ali and A. R. Bodmer, Phenomenological ?-? potentials, Nuclear Physics, vol.80, issue.1, pp.99-112, 1966.
DOI : 10.1016/0029-5582(66)90829-7

M. Anguiano, J. L. Egido, and L. M. Robledo, Particle number projection with effective forces, Nuclear Physics A, vol.696, issue.3, pp.467-493, 2001.
DOI : 10.1016/s0375-9474(01)01219-2
URL : http://arxiv.org/pdf/nucl-th/0105003

S. Aberg and L. Jönsson, Clustering aspects of nuclei with octupole and superdeformation, Zeitschrift für Physik A Hadrons and Nuclei, vol.349, pp.205-211, 1994.

I. Angeli and K. P. Marinova, Table of experimental nuclear ground state charge radii: An update. Atomic Data and Nuclear Data Tables, vol.99, pp.69-95, 2013.

A. Astier, P. Petkov, M. Porquet, D. S. Delion, and P. Schuck, Novel manifestation of ?-clustering structures: New "? + 208 Pb" states in 212 Po revealed by their enhanced E1 decays, Phys. Rev. Lett, vol.104, p.42701, 2010.
URL : https://hal.archives-ouvertes.fr/in2p3-00457474

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 1965.

F. Ajzenberg-selove, Energy levels of light nuclei A = 11-12, Nuclear Physics A, vol.506, issue.1, pp.1-158, 1990.

P. Arumugam, B. K. Sharma, S. K. Patra, and R. K. Gupta, Relativistic mean field study of clustering in light nuclei, Phys. Rev. C, vol.71, p.64308, 2005.

. Ba, Phys. Rev. Lett, vol.116, p.112503, 2016.

B. Bally, B. Avez, M. Bender, and P. Heenen, Beyond mean-field calculations for odd-mass nuclei, Phys. Rev. Lett, vol.113, p.162501, 2014.
DOI : 10.1103/physrevlett.113.162501
URL : http://arxiv.org/pdf/1406.5984

B. Bally, Description of odd-mass nuclei by multi-reference energy density functional methods, 2014.
URL : https://hal.archives-ouvertes.fr/tel-01023059

D. M. Brink and E. Boeker, Effective interactions for Hartree-Fock calculations, Nuclear Physics A, vol.91, issue.1, pp.1-26, 1967.
DOI : 10.1016/0375-9474(67)90446-0

P. Bonche, J. Dobaczewski, H. Flocard, P. Heenen, and J. Meyer, Analysis of the generator coordinate method in a study of shape isomerism in
URL : https://hal.archives-ouvertes.fr/in2p3-00000449

. Hg, Nuclear Physics A, vol.510, issue.3, pp.466-502, 1990.

M. Bender, T. Duguet, and D. Lacroix, Particle-number restoration within the energy density functional formalism, Phys. Rev. C, vol.79, p.44319, 2009.
DOI : 10.1103/physrevc.79.044319
URL : https://hal.archives-ouvertes.fr/in2p3-00321220

M. Borrajo and J. L. Egido, A symmetry-conserving description of odd nuclei with the Gogny force, The European Physical Journal A, vol.52, issue.9, p.277, 2016.

, Lecture Notes in Physics, vol.1, 2010.

, Lecture Notes in Physics, vol.2, 2012.

, Lecture Notes in Physics, vol.3, 2014.

M. Bender, H. Flocard, and P. Heenen, Beyond-mean-field-model analysis of low-spin normal-deformed and superdeformed collective states of 32 S, p.36

, Ar, 38 Ar, and 40 Ca, Phys. Rev. C, vol.68, p.44321, 2003.

J. Berger, M. Girod, and D. Gogny, Time-dependent quantum collective dynamics applied to nuclear fission, Computer Physics Communications, vol.63, issue.1, pp.365-374, 1991.
DOI : 10.1016/0010-4655(91)90263-k

G. Breit, R. L. Gluckstern, and J. E. Russell, Reorientation Effect in Coulomb Excitation, Phys. Rev, vol.103, pp.727-738, 1956.
DOI : 10.1103/physrev.103.727

M. Bender and P. Heenen, Configuration mixing of angular-momentum and particle-number projected triaxial Hartree-Fock-Bogoliubov states using the Skyrme energy density functional, Phys. Rev. C, vol.78, p.24309, 2008.
URL : https://hal.archives-ouvertes.fr/in2p3-00336250

M. Bender, P. Heenen, and P. Reinhard, Self-consistent mean-field models for nuclear structure, Rev. Mod. Phys, vol.75, pp.121-180, 2003.
DOI : 10.1103/revmodphys.75.121

T. Bürvenich, D. G. Madland, J. A. Maruhn, and P. Reinhard, Nuclear ground state observables and QCD scaling in a refined relativistic point coupling model, Phys. Rev. C, vol.65, p.44308, 2002.

P. A. Butler and W. Nazarewicz, Intrinsic reflection asymmetry in atomic nuclei, Rev. Mod. Phys, vol.68, pp.349-421, 1996.
DOI : 10.1103/revmodphys.68.349

J. D. Boer, Quantum theory of condensed permanent gases I the law of corresponding states, Physica, vol.14, issue.2, pp.139-148, 1948.

J. Blaizot and G. Ripka, Quantum Theory of Finite Systems, 1985.

G. F. Bertsch and L. M. Robledo, Symmetry Restoration in Hartree-FockBogoliubov Based Theories, Phys. Rev. Lett, vol.108, p.42505, 2012.

R. N. Bernard, L. M. Robledo, and T. R. Rodríguez, Octupole correlations in the 144 Ba nucleus described with symmetry-conserving configuration-mixing calculations, Phys. Rev. C, vol.93, p.61302, 2016.

M. Bender, K. Rutz, P. Reinhard, and J. A. Maruhn, Consequences of the center-of-mass correction in nuclear mean-field models, Eur. Phys. J. A, vol.7, issue.4, pp.467-478, 2000.

E. Chabanat, P. Bonche, P. Haensel, J. Meyer, and R. Schaeffer, A Skyrme parametrization from subnuclear to neutron star densities Part II. Nuclei far from stabilities, Nuclear Physics A, vol.635, issue.1, pp.231-256, 1998.
URL : https://hal.archives-ouvertes.fr/hal-00164346

M. Chernykh, H. Feldmeier, T. Neff, P. Von-neumann-cosel, and A. Richter, Structure of the Hoyle State in 12 C, Phys. Rev. Lett, vol.98, p.32501, 2007.

M. Chernykh, H. Feldmeier, T. Neff, P. Von-neumann-cosel, and A. Richter, Pair Decay Width of the Hoyle State and its Role for Stellar Carbon Production, Phys. Rev. Lett, vol.105, p.22501, 2010.

F. Chappert, M. Girod, and S. Hilaire, Towards a new Gogny force parameterization: Impact of the neutron matter equation of state, Physics Letters B, vol.668, issue.5, pp.420-424, 2008.

J. Carlson, S. Gandolfi, F. Pederiva, S. C. Pieper, R. Schiavilla et al., Quantum Monte Carlo methods for nuclear physics, Rev. Mod. Phys, vol.87, pp.1067-1118, 2015.

E. Caurier, G. Martínez-pinedo, F. Nowacki, A. Poves, and A. P. Zuker, The shell model as a unified view of nuclear structure, Rev. Mod. Phys, vol.77, pp.427-488, 2005.

D. Dell'aquila, High-Precision Probe of the Fully Sequential Decay Width of the Hoyle State in 12 C, Phys. Rev. Lett, vol.119, p.132501, 2017.

T. Duguet, M. Bender, K. Bennaceur, D. Lacroix, and T. Lesinski, Particlenumber restoration within the energy density functional formalism: Nonviability of terms depending on noninteger powers of the density matrices, Phys. Rev. C, vol.79, p.44320, 2009.
URL : https://hal.archives-ouvertes.fr/in2p3-00321224

J. Dechargé and D. Gogny, Hartree-Fock-Bogolyubov calculations with the D1 effective interaction on spherical nuclei, Phys. Rev. C, vol.21, pp.1568-1593, 1980.

F. Jong and H. Lenske, Asymmetric nuclear matter in the relativistic Brueckner-Hartree-Fock approach, Phys. Rev. C, vol.57, pp.3099-3107, 1998.

T. Duguet and J. Sadoudi, Breaking and restoring symmetries within the nuclear energy density functional method, Journal of Physics G: Nuclear and Particle Physics, vol.37, issue.6, p.64009, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00630016

J. Dobaczewski, M. V. Stoitsov, W. Nazarewicz, and P. Reinhard, Particle-number projection and the density functional theory, Phys. Rev. C, vol.76, p.54315, 2007.

T. Duguet, Bare vs effective pairing forces: A microscopic finite-range interaction for Hartree-Fock-Bogolyubov calculations in coordinate space, Phys. Rev. C, vol.69, p.54317, 2004.

T. Duguet, The Nuclear Energy Density Functional Formalism, chapter, Lecture Notes in Physics, vol.879, 2014.

J. L. Egido, M. Borrajo, and T. R. Rodríguez, Collective and Single-Particle Motion in Beyond Mean Field Approaches, Phys. Rev. Lett, vol.116, p.52502, 2016.

J. L. Egido, State-of-the-art of beyond mean field theories with nuclear density functionals, Physica Scripta, issue.7, p.91, 2016.

E. Epelbaum, H. Hammer, and U. Meißner, Modern theory of nuclear forces, Rev. Mod. Phys, vol.81, pp.1773-1825, 2009.

J. Ebran, E. Khan, D. P. Arteaga, and D. Vretenar, Relativistic Hartree-Fock-Bogoliubov model for deformed nuclei, Phys. Rev. C, vol.83, p.64323, 2011.
URL : https://hal.archives-ouvertes.fr/in2p3-00555434

J. Ebran, E. Khan, R. Lasseri, and D. Vretenar, Single-particle spatial dispersion and clusters in nuclei, Phys. Rev. C, vol.97, p.61301, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01806959

J. Ebran, E. Khan, T. Nik?i´nik?i´c, and D. Vretenar, How atomic nuclei cluster, Nature, vol.487, pp.341-355, 2012.
URL : https://hal.archives-ouvertes.fr/in2p3-00677360

J. Ebran, E. Khan, T. Nik?i´nik?i´c, and D. Vretenar, Localization and clustering in the nuclear Fermi liquid, Phys. Rev. C, vol.87, p.44307, 2013.
URL : https://hal.archives-ouvertes.fr/in2p3-00842821

J. Ebran, E. Khan, T. Nik?i´nik?i´c, and D. Vretenar, Cluster-liquid transition in finite, saturated fermionic systems, Phys. Rev. C, vol.89, p.31303, 2014.
URL : https://hal.archives-ouvertes.fr/in2p3-00956289

J. Ebran, E. Khan, T. Nik?i´nik?i´c, and D. Vretenar, Density functional theory studies of cluster states in nuclei, Phys. Rev. C, vol.90, p.54329, 2014.
URL : https://hal.archives-ouvertes.fr/in2p3-01012018

J. Ebran, E. Khan, T. Nik?i´nik?i´c, and D. Vretenar, Localization and clustering in atomic nuclei, Journal of Physics G: Nuclear and Particle Physics, vol.44, issue.10, p.103001, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01582927

J. Engel and H. O. Fynbo, Revised rates for the stellar triple-? process from measurement of 12 C nuclear resonances, Phys. Rev. C, vol.75, pp.136-139, 2005.

H. Feldmeier, K. Bieler, and J. Schnack, Fermionic molecular dynamics for ground states and collisions of nuclei, Nuclear Physics A, vol.586, issue.3, pp.493-532, 1995.

H. Feldmeier, Fermionic molecular dynamics, Nuclear Physics A, vol.515, issue.1, pp.147-172, 1990.

M. Freer and H. O. Fynbo, The Hoyle state in 12 C, Progress in Particle and Nuclear Physics, vol.78, pp.1-23, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00600773

M. Freer, H. Horiuchi, Y. Kanada-en'yo, D. Lee, and U. Meißner, Microscopic clustering in light nuclei, Rev. Mod. Phys, vol.90, p.35004, 2018.

C. Fuchs, H. Lenske, and H. H. Wolter, Density dependent hadron field theory, Phys. Rev. C, vol.52, pp.3043-3060, 1995.

S. Frauendorf and A. O. Macchiavelli, Overview of neutron-proton pairing, Progress in Particle and Nuclear Physics, vol.78, pp.24-90, 2014.

V. N. Fomenko, Projection in the occupation-number space and the canonical transformation, Journal of Physics A: General Physics, vol.3, issue.1, 1970.

T. R. Rodríguez-frutos, Estudio de núcleos exóticos con teorías más allá campo medio, 2007.

R. J. Furnstahl and B. D. Serot, Effective field theory and nuclear mean-field models, Nuclear Physics A, pp.513-516, 2000.

]. Y. Fsf-+-13, S. Fukuoka, Y. Shinohara, T. Funaki, K. Nakatsukasa et al., Deformation and cluster structures in 12 C studied with configuration mixing using Skyrme interactions, Phys. Rev. C, vol.88, p.14321, 2013.

Y. Funaki, A. Tohsaki, H. Horiuchi, P. Schuck, and G. Röpke, Inelastic form factors to alpha-particle condensate states in 12 C and 16 O: What can we learn?, The European Physical Journal A-Hadrons and Nuclei, vol.28, issue.3, pp.259-263, 2006.
URL : https://hal.archives-ouvertes.fr/in2p3-00025629

Y. Funaki, Hoyle band and ? condensation in 12 C, Phys. Rev. C, vol.92, p.21302, 2015.

J. Friedrich and N. Voegler, The salient features of charge density distributions of medium and heavy even-even nuclei determined from a systematic analysis of elastic electron scattering form factors, Nuclear Physics A, vol.373, issue.2, pp.192-224, 1982.

J. Friedrich, N. Voegler, and P. Reinhard, Central depression of the nuclear charge distribution, Nuclear Physics A, vol.459, issue.1, pp.10-34, 1986.

H. Falakshahi and X. Waintal, Hybrid Phase at the Quantum Melting of the Wigner Crystal, Phys. Rev. Lett, vol.94, p.46801, 2005.

L. P. Gaffney, Studies of pear-shaped nuclei using accelerated radioactive beams, Nature, vol.497, pp.199-204, 2013.
DOI : 10.1038/nature12073
URL : https://hal.archives-ouvertes.fr/in2p3-00824119

S. Goriely, S. Hilaire, M. Girod, and S. Péru, First Gogny-Hartree-FockBogoliubov Nuclear Mass Model, Phys. Rev. Lett, vol.102, p.242501, 2009.
DOI : 10.1103/physrevlett.102.242501

J. N. Ginocchio, Pseudospin as a relativistic symmetry, Phys. Rev. Lett, vol.78, pp.436-439, 1997.
DOI : 10.1103/physrevlett.78.436
URL : http://arxiv.org/pdf/nucl-th/9611044v1.pdf

M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms, Nature, vol.415, pp.39-44, 2002.

Y. K. Gambhir, P. Ring, and A. Thimet, Relativistic mean field theory for finite nuclei, Annals of Physics, vol.198, issue.1, pp.132-179, 1990.
DOI : 10.1016/0003-4916(90)90330-q

M. Girod and P. Schuck, ?-Particle Clustering from Expanding SelfConjugate Nuclei within the Hartree-Fock-Bogoliubov Approach, Phys. Rev. Lett, vol.111, p.132503, 2013.
DOI : 10.1103/physrevlett.111.132503
URL : http://arxiv.org/pdf/1309.6104

J. J. Griffin and J. A. Wheeler, Collective Motions in Nuclei by the Method of Generator Coordinates, Phys. Rev, vol.108, pp.311-327, 1957.

M. Hamermesh, Group Theory and its applications to Physical problems, 1962.
DOI : 10.1119/1.1941790

]. Heenen, P. Bonche, S. Cwiok, W. Nazarewicz, and A. Valor, Riken Review, vol.26, p.31, 2000.

S. Hilaire and M. Girod, Large-scale mean-field calculations from proton to neutron drip lines using the D1S Gogny force, The European Physical Journal A, vol.33, issue.2, pp.237-241, 2007.

K. Hara, A. Hayashi, and P. Ring, Exact angular momentum projection of cranked Hartree-Fock-Bogoliubov wave functions, Nuclear Physics A, vol.385, p.153, 1982.
DOI : 10.1016/0375-9474(82)90486-9

H. Horiuchi and K. Ikeda, A Molecule-like Structure in Atomic Nuclei of 16 O* and 20 Ne, Progress of Theoretical Physics, vol.40, issue.2, pp.277-287, 1968.

H. Horiuchi, K. Ikeda, and K. Kato, Recent Developments in Nuclear Cluster Physics, Progress of Theoretical Physics Supplement, vol.192, pp.1-238, 2012.

O. Haxel, J. H. Jensen, and H. E. Suess, On the "Magic Numbers" in Nuclear Structure, Phys. Rev, vol.75, pp.1766-1766, 1949.
DOI : 10.1103/physrev.75.1766.2

P. Hohenberg and W. Kohn, Inhomogeneous Electron Gas. Phys. Rev, vol.136, pp.864-871, 1964.

F. Hofmann, C. M. Keil, and H. Lenske, Density dependent hadron field theory for asymmetric nuclear matter and exotic nuclei, Phys. Rev. C, vol.64, p.34314, 2001.

L. R. Hafstad and E. Teller, The Alpha-Particle Model of the Nucleus, Phys. Rev, vol.54, pp.681-692, 1938.

J. Hubbard, Calculation of Partition Functions, Phys. Rev. Lett, vol.3, pp.77-78, 1959.

D. L. Hill and J. A. Wheeler, Nuclear Constitution and the Interpretation of Fission Phenomena, Phys. Rev, vol.89, pp.1102-1145, 1953.

T. Ichikawa, J. A. Maruhn, N. Itagaki, and S. Ohkubo, Linear Chain Structure of Four-? Clusters in 16 O, Phys. Rev. Lett, vol.107, p.112501, 2011.

K. Ikeda, N. Takigawa, and H. Horiuchi, The Systematic Structure-Change into the Molecule-like Structures in the Self-Conjugate 4n Nuclei, Progress of Theoretical Physics Supplement, vol.68, pp.464-475, 1968.

S. Karatzikos, A. V. Afanasjev, G. A. Lalazissis, and P. Ring, The fission barriers in Actinides and superheavy nuclei in covariant density functional theory, Physics Letters B, vol.689, issue.2, pp.72-81, 2010.

Y. Kanada-en'yo, The Structure of Ground and Excited States of 12 C, Progress of Theoretical Physics, vol.117, issue.4, pp.655-680, 2007.

Y. Kanada-en'yo and H. Horiuchi, Clustering in Yrast States of 20 Ne Studied with Antisymmetrized Molecular Dynamics, Progress of Theoretical Physics, vol.93, issue.1, pp.115-136, 1995.

Y. Kanada-en'yo and H. Horiuchi, Structure of Light Unstable Nuclei Studied with Antisymmetrized Molecular Dynamics, Progress of Theoretical Physics Supplement, vol.142, pp.205-263, 2001.

Y. Kanada-en'yo, H. Horiuchi, and A. Ono, Structure of Li and Be isotopes studied with antisymmetrized molecular dynamics, Phys. Rev. C, vol.52, pp.628-646, 1995.

Y. Kanada-en'yo, M. Kimura, and A. Ono, Antisymmetrized molecular dynamics and its applications to cluster phenomena, Progress of Theoretical and Experimental Physics, vol.2012, issue.1, pp.1-202, 2012.

M. Kimura, Deformed-basis antisymmetrized molecular dynamics and its application to 20 Ne, Phys. Rev. C, vol.69, p.44319, 2004.

M. Kimura, Molecular orbitals and ?+ 18 O molecular bands of 22 Ne, Phys. Rev. C, vol.75, p.34312, 2007.

W. Kohn, Nobel Lecture: Electronic structure of matter-wave functions and density functionals, Rev. Mod. Phys, vol.71, pp.1253-1266, 1999.

W. Kohn and L. J. Sham, Self-Consistent Equations Including Exchange and Correlation Effects, Phys. Rev, vol.140, pp.1133-1138, 1965.

L. Lathouwers, An extension of Wong's theory for complex generator coordinates, Nuclear Physics A, vol.228, issue.1, pp.125-140, 1974.

L. Lathouwers, The generator coordinate representation in an natural state formalism, Annals of Physics, vol.102, issue.2, pp.347-370, 1976.

C. J. Kim, ). Lister, and J. Butterworth, Nuclear physics: Exotic pear-shaped nuclei, Nature, vol.497, pp.190-191, 2013.

D. Lacroix, T. Duguet, and M. Bender, Configuration mixing within the energy density functional formalism: Removing spurious contributions from nondiagonal energy kernels, Phys. Rev. C, vol.79, p.44318, 2009.
URL : https://hal.archives-ouvertes.fr/in2p3-00321214

G. A. Lalazissis, J. König, and P. Ring, New parametrization for the Lagrangian density of relativistic mean field theory, Phys. Rev. C, vol.55, pp.540-543, 1997.

W. Long, J. Meng, N. Van-giai, and S. Zhou, New effective interactions in relativistic mean field theory with nonlinear terms and density-dependent meson-nucleon coupling, Phys. Rev. C, vol.69, p.34319, 2004.

G. A. Lalazissis, T. Nik?i´nik?i´c, D. Vretenar, and P. Ring, New relativistic meanfield interaction with density-dependent meson-nucleon couplings, Phys. Rev. C, vol.71, p.24312, 2005.
DOI : 10.1103/physrevc.71.024312

W. H. Long, P. Ring, N. Van-giai, and J. Meng, Relativistic Hartree-FockBogoliubov theory with density dependent meson-nucleon couplings, Phys. Rev. C, vol.81, p.24308, 2010.
DOI : 10.1103/physrevc.81.024308
URL : http://arxiv.org/pdf/0812.1103

H. Margenau, Interaction of alpha-particles, Phys. Rev, vol.59, pp.37-47, 1941.

M. G. Mayer, ;. Marevi´cmarevi´c, J. Ebran, E. Khan, T. Nik?i´nik?i´c et al., Quadrupole and octupole collectivity and cluster structures in neon isotopes, Phys. Rev. C, vol.74, p.24334, 1948.

[. Mek-+-18b, ]. P. Marevi´cmarevi´c, J. Ebran, E. Khan, T. Nik?i´nik?i´c et al., Cluster structures in 12 C from global energy density functionals, 2018.

, Relativistic Density Functional for Nuclear Structure, International Review of Nuclear Physics, vol.10, 2016.

S. Marcos, H. Flocard, and P. Heenen, Calculation of the Peierls-Yoccoz translational mass for Hartree-Fock wave functions, Physics Letters B, vol.134, pp.287-289, 1984.
URL : https://hal.archives-ouvertes.fr/in2p3-00017401

T. Matsuse, M. Kamimura, and Y. Fukushima, Study of the AlphaClustering Structure of 20 Ne Based on the Resonating Group Method for 16 O+? Analysis of Alpha-Decay Widths and the Exchange Kernel, Progress of Theoretical Physics, vol.53, issue.3, pp.706-724, 1975.

J. A. Maruhn, M. Kimura, S. Schramm, P. Reinhard, H. Horiuchi et al., ?-cluster structure and exotic states in a self-consistent model for light nuclei, Phys. Rev. C, vol.74, p.44311, 2006.

J. Meng, W. Pöschl, and P. Ring, Relativistic Hartree-Bogoliubov description of the lithium isotopes, Zeitschrift für Physik A Hadrons and Nuclei, vol.358, issue.2, pp.123-124, 1997.

J. Meng and P. Ring, Relativistic Hartree-Bogoliubov Description of the Neutron Halo in 11 Li, Phys. Rev. Lett, vol.77, pp.3963-3966, 1996.

J. Meng, K. Sugawara-tanabe, S. Yamaji, P. Ring, and A. Arima, Pseudospin symmetry in relativistic mean field theory, Phys. Rev. C, vol.58, pp.628-631, 1998.
DOI : 10.1103/physrevc.58.r628

J. Meng, H. Toki, S. G. Zhou, S. Q. Zhang, W. H. Long et al., Relativistic continuum Hartree Bogoliubov theory for ground-state properties of exotic nuclei, Progress in Particle and Nuclear Physics, vol.57, issue.2, pp.470-563, 2006.

T. Nakatsukasa, Density functional approaches to collective phenomena in nuclei: Time-dependent density functional theory for perturbative and nonperturbative nuclear dynamics, Progress of Theoretical and Experimental Physics, vol.2012, issue.1, pp.1-207, 2012.

T. Neff, Clusters and halos in light nuclei, Journal of Physics: Conference Series, vol.403, issue.1, p.12028, 2012.
DOI : 10.1063/1.3232158
URL : http://arxiv.org/pdf/1210.4093.pdf

T. Neff and H. Feldmeier, Cluster structures within Fermionic Molecular Dynamics, Proceedings of the 8th International Conference on Clustering Aspects of Nuclear Structure and Dynamics, vol.738, pp.357-361, 2004.
DOI : 10.1016/j.nuclphysa.2004.04.061
URL : http://arxiv.org/pdf/nucl-th/0312130v1.pdf

P. Navrátil, V. G. Gueorguiev, J. P. Vary, W. E. Ormand, and A. Nogga, Structure of A = 10 ? 13 Nuclei with Two-Plus Three-Nucleon Interactions from Chiral Effective Field Theory, Phys. Rev. Lett, vol.99, p.42501, 2007.

T. Nik?i´nik?i´c, M. Imbri?ak, and D. Vretenar, Sloppy" nuclear energy density functionals. II. Finite nuclei, Phys. Rev. C, vol.95, p.54304, 2017.

T. Nik?i´nik?i´c, P. Marevi´cmarevi´c, and D. Vretenar, Microscopic analysis of shape evolution and triaxiality in germanium isotopes, Phys. Rev. C, vol.89, p.44325, 2014.

T. Nik?i´nik?i´c, N. Paar, D. Vretenar, and P. Ring, DIRHB-A relativistic selfconsistent mean-field framework for atomic nuclei, Computer Physics Communications, vol.185, issue.6, pp.1808-1821, 2014.

P. Navrátil, S. Quaglioni, G. Hupin, C. Romero-redondo, and A. Calci, Unified ab initio approaches to nuclear structure and reactions, Physica Scripta, vol.91, issue.5, p.53002, 2016.

T. Nik?i´nik?i´c, P. Ring, D. Vretenar, Y. Tian, and Z. Y. Ma, 3D relativistic Hartree-Bogoliubov model with a separable pairing interaction: Triaxial ground-state shapes, Phys. Rev. C, vol.81, p.54318, 2010.

A. Nakada, Y. Torizuka, and Y. Horikawa, Determination of the Deformation in 12 C from Electron Scattering, Phys. Rev. Lett, vol.27, pp.745-748, 1971.

T. Nik?i´nik?i´c and D. Vretenar, Sloppy" nuclear energy density functionals: Effective model reduction, Phys. Rev. C, vol.94, p.24333, 2016.

P. Navrátil, J. P. Vary, and B. R. Barrett, Large-basis ab initio no-core shell model and its application to 12 C, Phys. Rev. C, vol.62, p.54311, 2000.

T. Nik?i´nik?i´c, D. Vretenar, P. Finelli, and P. Ring, Relativistic HartreeBogoliubov model with density-dependent meson-nucleon couplings, Phys. Rev. C, vol.66, p.24306, 2002.

K. Nomura, D. Vretenar, T. Nik?i´nik?i´c, and B. Lu, Microscopic description of octupole shape-phase transitions in light actinide and rare-earth nuclei, Phys. Rev. C, vol.89, p.24312, 2014.

T. Nik?i´nik?i´c, D. Vretenar, and P. Ring, Beyond the relativistic mean-field approximation: Configuration mixing of angular-momentum-projected wave functions, Phys. Rev. C, vol.73, p.34308, 2006.

T. Nik?i´nik?i´c, D. Vretenar, and P. Ring, Beyond the relativistic mean-field approximation. II. Configuration mixing of mean-field wave functions projected on angular momentum and particle number, Phys. Rev. C, vol.74, p.64309, 2006.

T. Nik?i´nik?i´c, D. Vretenar, and P. Ring, Relativistic nuclear energy density functionals: Adjusting parameters to binding energies, Phys. Rev. C, vol.78, p.34318, 2008.

T. Nik?i´nik?i´c, D. Vretenar, and P. Ring, Relativistic nuclear energy density functionals: Mean-field and beyond, Progress in Particle and Nuclear Physics, vol.66, issue.3, pp.519-548, 2011.

K. Neergård and E. Wüst, On the calculation of matrix elements of operators between symmetry-projected Bogoliubov states, Nuclear Physics A, vol.402, issue.2, pp.311-321, 1983.

F. Nemoto, Y. Yamamoto, H. Horiuchi, Y. Suzuki, and K. Ikeda, Structure of Intrinsic States of K ? = 0 + Bands in 20 Ne: Study of Transient Character, Progress of Theoretical Physics, vol.54, issue.1, pp.104-118, 1975.

N. Onishi and S. Yoshida, Generator coordinate method applied to nuclei in the transition region, Nuclear Physics, vol.80, issue.2, pp.367-376, 1966.
DOI : 10.1016/0029-5582(66)90096-4

H. Ohta, K. Yabana, and T. Nakatsukasa, Variation after parity projection calculation with the Skyrme interaction for light nuclei, Phys. Rev. C, vol.70, p.14301, 2004.

B. Pritychenko, M. Birch, B. Singh, and M. Horoi, Tables of E2 transition probabilities from the first 2 + states in even-even nuclei. Atomic Data and Nuclear Data Tables, vol.107, pp.1-139, 2016.

L. Próchniak and S. G. Rohozi´nskirohozi´nski, Quadrupole collective states within the Bohr collective Hamiltonian, Journal of Physics G: Nuclear and Particle Physics, vol.36, issue.12, p.123101, 2009.

M. Kumar-raju, Reorientation-effect measurement of the first 2 + state in 12 C: Confirmation of oblate deformation, Physics Letters B, vol.777, pp.250-254, 2018.

L. M. Robledo and G. F. Bertsch, Global systematics of octupole excitations in even-even nuclei, Phys. Rev. C, vol.84, p.54302, 2011.

T. R. Rodríguez and J. L. Egido, Triaxial angular momentum projection and configuration mixing calculations with the Gogny force, Phys. Rev. C, vol.81, p.64323, 2010.

R. R. Rodríguez-guzmán, J. L. Egido, and L. M. Robledo, Correlations beyond the mean field in magnesium isotopes: angular momentum projection and configuration mixing, Nuclear Physics A, vol.709, issue.1, pp.201-235, 2002.

R. R. Rodríguez-guzmán, J. L. Egido, and L. M. Robledo, Quadrupole collectivity of neutron-rich neon isotopes, The European Physical Journal A-Hadrons and Nuclei, vol.17, issue.1, pp.37-47, 2003.

P. Ring, Y. K. Gambhir, and G. A. Lalazissis, Computer program for the relativistic mean field description of the ground state properties of even-even axially deformed nuclei, Computer Physics Communications, vol.105, issue.1, pp.77-97, 1997.

R. R. Rodríguez-guzmán and L. M. Robledo, Microscopic description of fission in uranium isotopes with the Gogny energy density functional, Phys. Rev. C, vol.89, p.54310, 2014.

P. Ring, Relativistic mean field theory in finite nuclei, Progress in Particle and Nuclear Physics, vol.37, pp.193-263, 1996.

H. J. Rose and G. A. Jones, A new kind of natural radioactivity, Nature, vol.307, pp.245-247, 1984.

P. Reinhard, J. A. Maruhn, A. S. Umar, and V. E. Oberacker, Localization in light nuclei, Phys. Rev. C, vol.83, p.34312, 2011.

X. Roca-maza, X. Viñas, M. Centelles, P. Ring, and P. Schuck, Relativistic mean-field interaction with density-dependent meson-nucleon vertices based on microscopical calculations, Phys. Rev. C, vol.84, p.54309, 2011.
URL : https://hal.archives-ouvertes.fr/in2p3-00651223

L. M. Robledo, Particle number restoration: its implementation and impact in nuclear structure calculations, International Journal of Moderm Physics E, vol.16, issue.2, pp.337-351, 2007.

L. M. Robledo, Sign of the overlap of Hartree-Fock-Bogoliubov wave functions, Phys. Rev. C, vol.79, p.21302, 2009.

L. M. Robledo, Remarks on the use of projected densities in the densitydependent part of Skyrme or Gogny functionals, Journal of Physics G: Nuclear and Particle Physics, vol.37, issue.6, p.64020, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00600805

L. M. Robledo, Clustering in atomic nuclei: a mean field perspective, Journal of Physics: Conference Series, vol.569, p.12038, 2014.

T. R. Rodríguez, A. Poves, and F. Nowacki, Occupation numbers of spherical orbits in self-consistent beyond-mean-field methods, Phys. Rev. C, vol.93, p.54316, 2016.

L. M. Robledo, T. R. Rodríguez, and R. R. Rodríguez-guzmán, Mean field and beyond description of nuclear structure with the Gogny force: A review, 2018.

M. Reed and B. Simon, Methods of Modern Mathematical Physics, 1972.

P. Ring and P. Schuck, The Nuclear Many Body Problem, 1980.

Z. X. Ren, S. Q. Zhang, P. W. Zhao, N. Itagaki, J. A. Maruhn et al., Stability of the linear chain structure for 12 C in covariant density functional theory on a 3D lattice, 2018.

J. Sadoudi, M. Bender, K. Bennaceur, D. Davesne, R. Jodon et al., Skyrme pseudo-potential-based EDF parametrization for spuriousity-free MR EDF calculations, Physica Scripta, issue.T154, p.14013, 2013.

M. V. Stoitsov, J. Dobaczewski, R. Kirchner, W. Nazarewicz, and J. Terasaki, Variation after particle-number projection for the Hartree-FockBogoliubov method with the Skyrme energy density functional, SDK + 07, vol.76, p.14308, 2007.

M. Serra, Field Theoretical Description of Exchange Terms and Pairing Correlations in Nuclear Systems, 2001.

R. Smith, . Tz, C. Kokalova, J. E. Wheldon, M. Bishop et al., New Measurement of the Direct 3? Decay from the 12 C Hoyle State, Phys. Rev. Lett, vol.119, p.132502, 2017.

T. H. Skyrme and . Cvii, The Nuclear Surface, Philosophical Magazine, vol.1, issue.11, pp.1043-1054, 1956.

T. H. Skyrme, The effective nuclear potential, Nuclear Physics, vol.9, issue.4, pp.615-634, 1958.

I. Sick and J. S. Mccarthy, Elastic electron scattering from 12 C and 16 O, Nuclear Physics A, vol.150, issue.3, pp.631-654, 1970.

O. Sorlin and M. Porquet, Nuclear magic numbers: New features far from stability, Progress in Particle and Nuclear Physics, vol.61, pp.602-673, 2008.
URL : https://hal.archives-ouvertes.fr/in2p3-00280392

P. Strehl, . H. Th, and . Schucan, Study of monopole transitions in 12 C, p.24

. Mg, 28 Si, 32 S and 40 Ca by inelastic electron scattering, Physics Letters B, vol.27, issue.10, pp.641-643, 1968.

A. Staszczak, M. Stoitsov, A. Baran, and W. Nazarewicz, Augmented Lagrangian method for constrained nuclear density functional theory, The European Physical Journal A, vol.46, issue.1, pp.85-90, 2010.

N. J. Stone, Table of nuclear magnetic dipole and electric quadrupole moments. Atomic Data and Nuclear Data Tables, vol.90, pp.75-176, 2005.

B. D. Serot and J. D. Walecka, The Relativistic Nuclear Many Body Problem, Adv. Nucl. Phys, vol.16, pp.1-327, 1986.

A. Tohsaki, H. Horiuchi, P. Schuck, and G. Röpke, Alpha Cluster Condensation in 12 C and 16 O, Phys. Rev. Lett, vol.87, p.192501, 2001.
URL : https://hal.archives-ouvertes.fr/in2p3-00019731

A. Tohsaki, H. Horiuchi, P. Schuck, and G. Röpke, Colloquium: Status of ?-particle condensate structure of the Hoyle state, Rev. Mod. Phys, vol.89, p.11002, 2017.

Y. Taniguchi, M. Kimura, and H. Horiuchi, New Constraint of Clustering for AMD and Its Application to the Study of the 2?? 12 C Structure of 20 Ne, Progress of Theoretical Physics, vol.112, issue.3, pp.475-487, 2004.

Y. Tian, Z. Y. Ma, and P. Ring, A finite range pairing force for density functional theory in superfluid nuclei, Physics Letters B, vol.676, issue.1, pp.44-50, 2009.

Y. Tian, Z. Y. Ma, and P. Ring, Separable pairing force for relativistic quasiparticle random-phase approximation, Phys. Rev. C, vol.79, p.64301, 2009.

Y. Tian, Z. Y. Ma, and P. Ring, Axially deformed relativistic Hartree Bogoliubov theory with a separable pairing force, Phys. Rev. C, vol.80, p.24313, 2009.

B. G. Todd-rutel and J. Piekarewicz, Neutron-Rich Nuclei and Neutron Stars: A New Accurately Calibrated Interaction for the Study of NeutronRich Matter, Phys. Rev. Lett, vol.95, p.122501, 2005.

J. G. Valatin, Generalized Hartree-Fock Method, Phys. Rev, vol.122, pp.1012-1020, 1961.

D. Vretenar, A. V. Afanasjev, G. A. Lalazissis, and P. Ring, Relativistic Hartree-Bogoliubov theory: static and dynamic aspects of exotic nuclear structure, Physics Reports, vol.409, issue.3, pp.101-259, 2005.

D. Vautherin, Hartree-Fock Calculations with Skyrme's Interaction. II. Axially Deformed Nuclei, Phys. Rev. C, vol.7, pp.296-316, 1973.

N. L. Vaquero, J. L. Egido, and T. R. Rodríguez, Large-amplitude pairing fluctuations in atomic nuclei, Phys. Rev. C, vol.88, p.64311, 2013.

D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum, 1988.

M. Wang, G. Audi, F. G. Kondev, W. J. Huang, S. Naimi et al., The AME2016 atomic mass evaluation (ii). Tables, graphs and references, Chinese Physics C, vol.41, issue.3, p.30003, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01645545

J. D. Walecka, Electron Scattering for Nuclear and Nucleon Structure, 2004.

C. F. Weizsäcker, Zur Theorie der Kernmassen. Zeitschrift für Physik, vol.96, issue.7, pp.431-458, 1935.

C. W. Wong, The generator-coordinate theory as a flexible formulation of the many-body Schrödinger equation, Nuclear Physics A, vol.147, issue.3, pp.545-562, 1970.

S. M. Samuel and . Wong, Introductory Nuclear Physics, Second Edition, 1998.

M. Warda and L. M. Robledo, Microscopic description of cluster radioactivity in actinide nuclei, Phys. Rev. C, vol.84, p.44608, 2011.

J. M. Yao, M. Bender, and P. Heenen, Beyond-mean-field study of elastic and inelastic electron scattering off nuclei, Phys. Rev. C, vol.91, p.24301, 2015.
URL : https://hal.archives-ouvertes.fr/in2p3-01285675

C. Yannouleas and U. Landman, Symmetry breaking and quantum correlations in finite systems: studies of quantum dots and ultracold Bose gases and related nuclear and chemical methods, Reports on Progress in Physics, vol.70, issue.12, p.2067, 2007.

]. J. Zln-+-16, B. Zhao, T. Lu, D. Nik?i´nik?i´c, S. Vretenar et al., Multidimensionally-constrained relativistic mean-field study of spontaneous fission: Coupling between shape and pairing degrees of freedom, Phys. Rev. C, vol.93, p.44315, 2016.

P. W. Zhao, Z. P. Li, J. M. Yao, and J. Meng, New parametrization for the nuclear covariant energy density functional with a point-coupling interaction, Phys. Rev. C, vol.82, p.54319, 2010.

S. Zhou, J. Meng, and P. Ring, Spherical relativistic Hartree theory in a Woods-Saxon basis, Phys. Rev. C, vol.68, p.34323, 2003.

B. Zhou, Z. Ren, C. Xu, Y. Funaki, T. Yamada et al., New concept for the ground-state band in 20 Ne within a microscopic cluster model, Phys. Rev. C, vol.86, p.14301, 2012.
URL : https://hal.archives-ouvertes.fr/in2p3-00723992

E. F. Zhou, J. M. Yao, Z. P. Li, J. Meng, and P. Ring, Anatomy of molecular structures in 20 Ne, Physics Letters B, vol.753, pp.227-231, 2016.

, Schematic representation of the spontaneous symmetry breaking, p.40

. , Convergence of the RHB energies in 20 Ne with the size of harmonic oscil, p.61

, Convergence of the AMP energies in 20 Ne with the number of discretization points in projection integral for even-positive spin-parities, p.62

, Convergence of the AMP energies in 20 Ne with the number of discretization points in projection integral for odd-negative spin-parities, p.63

, Convergence of the AMP and PNP energies in 20 Ne with the number of discretization points in projection integrals for even-positive spin-parities, vol.64

, Convergence of the AMP and PNP energies in 20 Ne with the number of discretization points in projection integrals for odd-negative spin-parities 65

, Convergence of the AMP and PNP energies of the 2 + 1 state in 20 Ne for a very large number of discretization points in projection integrals, p.67

. , Excitation energies of collective states in 20 Ne as a function of the number of considered norm overlap eigenstates

. , Self-consistent RHB binding energies of even-even 20?34 Ne isotopes, in the ? 2 ? ? 3 plane

, Intrinsic nucleon densities of 20 Ne. Densities corresponding to the selfconsistent minimum and to the symmetry-restored minimum are shown, p.75

, Angular momentum-, particle number-, and parity-projected energy surfaces of even-even 20?34 Ne isotopes for J ? = 0 + in the ? 2 ? ? 3 plane, p.76

, List of Figures LIST OF FIGURES

, Two-neutron separation energies of 22?34 Ne isotopes on SR-EDF and MREDF level in comparison with the experimental data, p.77

. , ? 3 )| 2 of the ground states of 20?34 Ne isotopes in the ? 2 ? ? 3 plane, Amplitudes of collective wave functions squared |g

. , Ground-state deformation parameters ? 2 and ? 3 of 20?34 Ne isotopes on the SR-EDF and MR-EDF level

, Angular momentum-, particle number-, and parity-projected energy surfaces of even-even 20?34 Ne isotopes for J ? = 2 + in the ? 2 ? ? 3 plane, p.81

, Angular momentum-, particle number-, and parity-projected energy surfaces of even-even 20?34 Ne isotopes for J ? = 4 + in the ? 2 ? ? 3 plane, p.81

, 82 4.10 Angular momentum-, particle number-, and parity-projected energy surfaces of even-even 20?34 Ne isotopes for J ? = 3 ? in the ? 2 ? ? 3 plane, p.82

, in even-even 20?34 Ne isotopes compared with data, p.83

, Calculated low-energy spectra of 22,24 Ne and 32,34 Ne isotopes, p.84

. , ? 3 )| 2 of the lowenergy levels in 22 Ne, Amplitudes of collective wave functions squared |g

. , ? 3 )| 2 of the lowenergy levels in 24 Ne, Amplitudes of collective wave functions squared |g

. , ? 3 )| 2 of the lowenergy levels in 32 Ne, Amplitudes of collective wave functions squared |g

. , 86 4.17 Calculated low-energy spectrum of 20 Ne compared with the available experimental data and with predictions of two other theoretical models, Amplitudes of collective wave functions squared |g, p.88

. , ? 3 )| 2 of the lowenergy levels of 20 Ne, Amplitudes of collective wave functions squared |g

. , Characteristic intrinsic nucleon densities of collective states of the groundstate band and the K ? = 0 ? band in 20 Ne

, Self-consistent RHB energy surface and angular momentum-, particle numberand parity-projected energy surfaces of 12 C isotope in ? 2-? 3 plane, p.97

. .. , Potential energy curves of 12 C isotope as functions of axial quadrupole deformation ? 2 for parity-conserving (? 3 = 0) configurations, p.98

. , 3 Calculated low-energy spectrum of 12 C compared with the available experimental data

. , ? 3 )| 2 of the lowenergy levels in 12 C, Amplitudes of collective wave functions squared |g

. , Characteristic intrinsic nucleon densities of the first three 0 + and 2 + collective states in 12 C

. .. , , vol.18

, Properties of nuclear symmetries that are broken and restored within our calculation: rotational, particle number, and parity invariance, p.41

. .. , 74 4.2 Calculated ground-state band spectroscopic quadrupole moments in the even-even 20?34 Ne isotopes, RHB values of deformation parameters, binding energies, and charge radii in ground states of 20?34 Ne isotopes