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Effect of electrostatic deflectors and associated fringe fields on spin coherence time for the measure of electric dipole in a storage ring

Abstract : Particle accelerators are one of the most efficient ways to study matter andelementary particles, as proved by the recent discovery of the Higgs Bosonon the Large Hadron Collider.The JEDI collaboration propose to measurethe value of the proton electric dipole moment (EDM) with a precision of〖10〗^(-29) e.cm using a storage ring.A measurement of such a value of EDM, above the extremely small predictionof Standard Model would lead to new physics, by adding an additionalsource of CP violation. The CP violation is one of the three conditionsnecessary to explain the un-understanded asymetry between matter andantimatter in the universe.In order to achieve this 〖10〗^(-29)e.cm precision, one need to store the measuredparticles for many seconds in an electric field : a storage ring appearsas an ideal solution for charged particles. One of the main issues consistsin keeping the beam spin-coherent during the whole duration of the measurement.An excellent control of systematics and understanding of thespin dynamics to perform this measurement are mandatory.The electrostatic deflectors used in the experiment to provide both bendingand EDM-induced spin precession could lead to systematic errors andspin decoherence. The internal part of the deflectors and especially theirfringe fields need to be understand, in terms of trajectories and spin dynamics.This thesis provide models for fields, trajectories, spin dynamics and alsoresults about the spin decoherence induced by the deflectors.The first part is dedicated to the context around EDM measurements,and will then focus on the storage ring method. Also a first approach tothe spin precession equation and spin coherence time will be done, and theproblematic about the electrostatic deflectors exposed.The second part describes in details the analytic or semi-analytic modelswe developed. The first model describes the electric fringe field of thedeflector, using conformal mapping.This model takes into account boundary conditions like the vacuum chamberor a diaphragm and propose universal formulas as a function of theratio between gap and radius. The second model concerns trajectories inthe deflector and the fringe fields.It is using an Hamiltonian integration, variation of parameters and quadratureformulas to integrate the previously found field. This is done at thesecond order.The last model is about spin dynamics and allows the user to compute thespin total precession in the deflector or the fringe fields by using a list ofintegrals of the field. The final spin transfer solution is a function of theinitial conditions (x,px,y,py,dz,_P/P) at the second order.The last part shows the implementation on BMAD and the differenteffects of deflectors/fringe fields on the spin coherence time.
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  • HAL Id : tel-02481832, version 1

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Julien Michaud. Effect of electrostatic deflectors and associated fringe fields on spin coherence time for the measure of electric dipole in a storage ring. High Energy Physics - Experiment [hep-ex]. Université Grenoble Alpes, 2019. English. ⟨NNT : 2019GREAY031⟩. ⟨tel-02481832⟩

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