Test of Time-Reversal Symmetry in the Proton-Deuteron Scattering

Abstract

The integrated cross section e σ for a special type of double polarized proton-deuteron scattering constitutes a null test for time-invariance violating but P-parity conserving effects. Using Glauber theory for the pd elastic scattering and different types of phenomenological T-odd P-even NN-interactions we show that the contribution of the lowest mass meson exchange, i.e. the ρ-meson, to the null-test signal e σ vanishes. Variation of the cross section e σ due to strong hadronic and Coulomb interaction is studied and its energy dependence is calculated in the GeV region.

Polarized proton-deuteron scattering as a test of time-reversal invariance

“…The total cross section of pd scattering for the case of a T-violating P-conserving N N interaction can be written as [14,21]…”

Time-reversal violation in light nuclei

“…Even if the sensitivity of the spin-rotation on TRV is far away from the present sensitivity of the EDM, this observable addresses the same physics of the EDM, posing, for the future, as a complementary and independent test for TRV in nuclei. Also other TRV observables in proton-and neutron-nucleus scattering have been proposed as probes of TRV effects [21][22][23][24][25]. The use of light nuclei to study TRV results to be advantageous because the nuclear physics of the systems is theoretically under control and so the TRV effects can be easily highlighted.…”

“…Even if the sensitivity of the spin-rotation on TRV is far away from the present sensitivity of the EDM, this observable addresses the same physics of the EDM, posing, for the future, as a complementary and independent test for TRV in nuclei. Also other TRV observables in proton-and neutron-nucleus scattering have been proposed as probes of TRV effects [21][22][23][24][25].…”

Search for time-reversal-invariance violation in double polarized antiproton-deuteron scattering

“…It provides a null-test signal for TVPC effects [4] and it will be measured in pd scattering at 135 MeV [3]. Theoretical studies of the energy dependence of the expected signal were performed at energies of the planned experiment [5][6][7][8][9][10][11][12] on the basis of the spin-dependent Glauber theory and demonstrate several unexpected effects. Among them are (i) the absense of the contribution from the lowest-mass meson-exchange (ρ meson) in the TVPC NN interaction, caused by its specific isospin, spin and momentum dependence; (ii) a strong impact of the deuteron D-wave on the null-test signal due to a destructive interference between the S -and D-wave contributions, even for zero transferred 3momentum; (iii) oscillating behaviour of the null-test signal as a function of the beam energy, i.e.…”