Abstract

A particle, which moves in a crystal experiences weak interactions with electrons and nuclei along with electromagnetic interaction. Measuring the polarization vector and the angular distribution of charged and neutral particles scattered by axes (planes) of an unbent (straight) crystal enables to obtain restrictions for the electromagnetic dipole moments value and for magnitudes of constants describing T-odd ($CP$-odd) interactions beyond the standard model. Spin precession of channeled particles in bent crystals at the LHC gives a unique possibility for measurement of constants determining T-odd ($CP$-odd) violating interactions of short-lived baryons and $\ensuremath{\tau}$-leptons with electrons and nuclei (nucleons), similarly to the possibility of measuring particles' electric and magnetic moments. Methods to separate P-odd spin rotation from the MDM-caused and T-odd spin rotations are discussed.

Highlights

  • Violation of parity (P) and time reversal (T) symmetries lead to appearance of numerous processes allowing investigation of physics beyond the standard model

  • This paper demonstrates that measuring the polarization vector and the angular distribution of charged and neutral particles scattered by axes of an unbent crystal enables to obtain restrictions for the electromagnetic dipole moments (EDM) value and for magnitudes of constants describing T-odd (CP-odd) interactions beyond the standard model

  • Measurements of polarization vector and angular distribution of charged and neutral particles scattered by axes of unbent crystal enable to obtain limits for the EDM value and for the values of constants describing P- and T-odd interactions beyond the standard model

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Summary

INTRODUCTION

Violation of parity (P) and time reversal (T) symmetries lead to appearance of numerous processes allowing investigation of physics beyond the standard model. The experimental approach was proposed [1,2,3,4] to search for the electromagnetic dipole moments (EDM) of charged short-lived heavy baryons and τ-leptons using bent crystals at LHC. According to [5,6,7] the same approach gives a unique possibility for investigation of P-odd T-even and P-odd T-odd (CP-odd) interactions of short-lived baryons (τ-leptons) with electrons and nuclei. This paper demonstrates that measuring the polarization vector and the angular distribution of charged and neutral particles scattered by axes (planes) of an unbent (straight) crystal enables to obtain restrictions for the EDM value and for magnitudes of constants describing T-odd (CP-odd) interactions beyond the standard model.

RELATIVISTIC PARTICLE SPIN INTERACTIONS WITH CRYSTALS
P- AND T-ODD SPIN INTERACTIONS IN CRYSTALS
G2T ð15Þ
RELATIVISTIC PARTICLE SPIN ROTATION AND INTERACTIONS IN BENT CRYSTALS
CONCLUSION
Effective potential energy determined by the anomalous magnetic moment
Effective potential energy Udetermined by spin-orbit interaction
Effective potential energy Udetermined by P-odd and T-even interactions
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