. Ibid, s. mass excess of 20 Na is from TABLE IV, column 4 of Ref. [172] and excited levels from Ref. [104, 160] 4 Recently adopted g.s. mass excess data from Ref. [103] and excited levels from Ref, p.161

. Ibid, s. mass excess of 24 Al is from TABLE IV, column 4 of Ref. [172] and excited levels from Ref. [104, 143] 6 Recently adopted g.s. mass excess data from Ref. [103] and excited levels from Ref

. Ibid, s. mass excess of 28 P is from TABLE IV, column 4 of Ref. [172] and excited levels from Ref. [104, 145] 8 Recently adopted g.s. mass excess data from Ref. [103] and excited levels from Ref

. Ibid, except g.s. mass excess of 24 Al is from TABLE IV, column 4 of Ref. [172] and excited states from Ref

. Ibid, s. mass excess of 28 P is from TABLE IV, column 4 of Ref. [172] and excited states from Ref. [104] 5 Mass excess data and excited states from TABLE I, set C of Ref, 112] 6 Recently adopted mass excess data Ref. [103] and excited states from Ref. [104, 145] References References

K. Nakamura, Review of Particle Physics, Journal of Physics G: Nuclear and Particle Physics, vol.37, issue.7A, p.75021, 2010.
DOI : 10.1088/0954-3899/37/7A/075021
URL : https://hal.archives-ouvertes.fr/in2p3-00732358

J. Chadwick, Possible Existence of a Neutron, Nature, vol.129, issue.3252, p.312, 1932.
DOI : 10.1038/129312a0

E. M. Henley, Charge Independence and Charge Symmetry of Nuclear Forces, Isospin in Nuclear Physics, p.15, 1969.

J. Jänecke, Systematics of Coulomb Energies and Excitation Energies of Isobaric Analogue States, Isospin in Nuclear Physics, p.297, 1969.

A. R. Edmonds, Angular Momentum in Quantum Mechanics, 1957.

S. Weinberg and S. B. Treiman, Electromagnetic Corrections to Isotopic Spin Conservation, Physical Review, vol.116, issue.2, p.465, 1959.
DOI : 10.1103/PhysRev.116.465

E. Epelbaum, H. Hammer, U. Meissner, M. Bentley, S. Lenzi et al., 1773. [17] I, ) 055502. [19] O. Naviliat-Cuncic, N. Severijns, pp.81-1023, 1973.

I. S. Towner, J. C. Hardy, . E. Phys29-]-w, B. A. Ormand, B. A. Brown-ormand et al., 142502. [32] I, [41] W. Satula, J. Dobaczewski, W. Nazarewicz, M. Rafalski, pp.64316-012502, 1973.

A. Petrovici, K. Schmid, O. Radu, and A. Faessler, decay, Physical Review C, vol.78, issue.6, p.64311, 2008.
DOI : 10.1103/PhysRevC.78.064311

E. Caurier, P. Navratil, W. Ormand, and J. Vary, nuclei, Physical Review C, vol.66, issue.2, p.24314, 2002.
DOI : 10.1103/PhysRevC.66.024314
URL : https://hal.archives-ouvertes.fr/in2p3-00009120

N. Michel, W. Nazarewicz, and M. Ploszajczak, Isospin mixing and the continuum coupling in weakly bound nuclei, Physical Review C, vol.82, issue.4, p.44315, 2010.
DOI : 10.1103/PhysRevC.82.044315
URL : https://hal.archives-ouvertes.fr/in2p3-00436074

N. Auerbach, decay in nuclei, Physical Review C, vol.79, issue.3, p.35502, 2009.
DOI : 10.1103/PhysRevC.79.035502

N. Auerbach, nuclei, Physical Review C, vol.81, issue.6, p.67305, 2010.
DOI : 10.1103/PhysRevC.81.067305
URL : https://hal.archives-ouvertes.fr/in2p3-00008689

E. Caurier, G. Martínez-pinedo, F. Nowacki, A. Poves, and A. P. Zuker, The shell model as a unified view of nuclear structure, Reviews of Modern Physics, vol.77, issue.2, p.77, 2005.
DOI : 10.1103/RevModPhys.77.427

B. A. Brown and W. A. Richter, shell, Physical Review C, vol.74, issue.3, p.34315, 2006.
DOI : 10.1103/PhysRevC.74.034315
URL : https://hal.archives-ouvertes.fr/in2p3-00548964

M. Honma, T. Otsuka, B. A. Brown, and T. Mizusaki, closed core, Physical Review C, vol.69, issue.3, p.34335, 2004.
DOI : 10.1103/PhysRevC.69.034335

F. Nowacki and A. Poves, valence space, Physical Review C, vol.79, issue.1, p.14310, 2009.
DOI : 10.1103/PhysRevC.79.014310
URL : https://hal.archives-ouvertes.fr/in2p3-00199845

O. Haxel, J. H. Jensen, and H. E. Suess, On the "Magic Numbers" in Nuclear Structure, Physical Review, vol.75, issue.11, p.1766, 1949.
DOI : 10.1103/PhysRev.75.1766.2

I. Talmi, Fifty Years of the Shell Model ??? The Quest for the Effective Interaction, 2002.
DOI : 10.1007/0-306-47916-8_1

K. Heyde, The Nuclear Shell Model, second corrected and enlarged Edition, 2004.

A. Bohr and B. Mottelson, The Nuclear Structure, second corrected and enlarged Edition, 1977.

K. Heyde, Basic Ideas and Concepts in Nuclear Physics, 1999.
DOI : 10.1201/9781420054941

R. F. Casten, Nuclear Structure from a Simple Perspective, 1990.

]. E. Caurier, F. Nowacki, B. A. Brown, A. Etchegoyen, W. D. Rae et al., The computer code OXBASH, Acta Physica Polonica, vol.30, issue.524, 1984.

B. H. Brandow, Linked-Cluster Expansions for the Nuclear Many-Body Problem, Reviews of Modern Physics, vol.39, issue.4, p.771, 1967.
DOI : 10.1103/RevModPhys.39.771

T. T. Kuo and G. E. Brown, Structure of finite nuclei and the free nucleon-nucleon interaction, Nuclear Physics, vol.85, issue.1, p.40, 1966.
DOI : 10.1016/0029-5582(66)90131-3

H. Bethe, Theory of Nuclear Matter, Annual Review of Nuclear Science, vol.21, issue.1, p.93, 1971.
DOI : 10.1146/annurev.ns.21.120171.000521

D. R. Entem and R. Machleidt, Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory, Physical Review C, vol.68, issue.4, p.41001, 2003.
DOI : 10.1103/PhysRevC.68.041001

U. Van-kolck, Few-nucleon forces from chiral Lagrangians, Physical Review C, vol.49, issue.6, p.2932, 1994.
DOI : 10.1103/PhysRevC.49.2932

F. Nowacki, Description Microscopique des Processus Faibles dans les Noyaux Spheriques, IReS, 1996.

M. Honma, T. Otsuka, B. A. Brown, and T. Mizusaki, -shell nuclei, Physical Review C, vol.65, issue.6, p.61301, 2002.
DOI : 10.1103/PhysRevC.65.061301
URL : https://hal.archives-ouvertes.fr/hal-01302493

T. T. Kuo, State dependence of shell-model reaction matrix elements, Nuclear Physics A, vol.103, issue.1, p.71, 1967.
DOI : 10.1016/0375-9474(67)90790-7

J. Blomqvist and A. Molinari, Collective 0??? vibrations in even spherical nuclei with tensor forces, Nuclear Physics A, vol.106, issue.3, p.545, 1968.
DOI : 10.1016/0375-9474(68)90515-0

R. Roth, H. Hergert, P. Papakonstantinou, T. Neff, and H. Feldmeier, Matrix elements and few-body calculations within the unitary correlation operator method, Physical Review C, vol.72, issue.3, p.34002, 2005.
DOI : 10.1103/PhysRevC.72.034002

F. Simkovic, A. Faessler, V. Rodin, P. Vogel, and J. Engel, nuclear matrix elements, Physical Review C, vol.77, issue.4, p.45503, 2008.
DOI : 10.1103/PhysRevC.77.045503

J. Jänecke, Vector and Tensor Coulomb Energies, Physical Review, vol.147, issue.3, p.735, 1966.
DOI : 10.1103/PhysRev.147.735

J. A. Nolen and J. P. Schiffer, Coulomb Energies, Annual Review of Nuclear Science, vol.19, issue.1, p.471, 1969.
DOI : 10.1146/annurev.ns.19.120169.002351

E. Henley and C. Lacy, Simple Model for Corrections to the Isobaric Multiplet Mass Equation, Physical Review, vol.184, issue.4, p.1228, 1969.
DOI : 10.1103/PhysRev.184.1228

S. Triambak, : A test of the isobaric multiplet mass equation, Physical Review C, vol.73, issue.5, p.54313, 2006.
DOI : 10.1103/PhysRevC.73.054313

B. A. Brown and R. Sherr, Charge-dependent two-body interactions deduced from displacement energies in the shell, Nuclear Physics A, vol.322, issue.1, p.61, 1979.
DOI : 10.1016/0375-9474(79)90333-6

K. T. Hecht and S. C. Pang, On the Wigner Supermultiplet Scheme, Journal of Mathematical Physics, vol.10, issue.9, p.1571, 1969.
DOI : 10.1063/1.1665007

K. T. Hecht, Isobaric Spin in Nuclear Physics, p.823, 1966.

A. Signoracci and B. A. Brown, quintet, Physical Review C, vol.84, issue.3, p.31301, 2011.
DOI : 10.1103/PhysRevC.84.031301

A. A. Kwiatkowski, quintet, Physical Review C, vol.80, issue.5, p.51302, 2009.
DOI : 10.1103/PhysRevC.80.051302

J. A. Cameron and B. Singh, Nuclear Data Sheets for A = 41, Nuclear Data Sheets, vol.94, issue.3, p.429, 2001.
DOI : 10.1006/ndsh.2001.0021

J. A. Cameron and B. Singh, Nuclear Data Sheets for A = 43, Nuclear Data Sheets, vol.92, issue.4, p.783, 2001.
DOI : 10.1006/ndsh.2001.0009

T. W. Burrows, Nuclear Data Sheets for A = 47, Nuclear Data Sheets, vol.108, issue.5, p.923, 2007.
DOI : 10.1016/j.nds.2007.04.002

T. W. Burrows, Nuclear Data Sheets for A = 49, Nuclear Data Sheets, vol.109, issue.8, p.1879, 2008.
DOI : 10.1016/j.nds.2008.07.001

M. R. Bhat, Nuclear Data Sheets for A = 57, Nuclear Data Sheets, vol.85, issue.3, p.415, 1998.
DOI : 10.1006/ndsh.1998.0021

M. Redshaw, by Comparing Cyclotron Frequencies of Two Ions Simultaneously Trapped in a Penning Trap, Physical Review Letters, vol.100, issue.9, p.93002, 2008.
DOI : 10.1103/PhysRevLett.100.093002