Time-reversal invariance violation effect in $\bm{dd}$ scattering

TL;DR

This paper develops a formalism to detect time-reversal invariance violation in deuteron scattering, considering spin effects, and provides numerical estimates relevant for upcoming experiments, highlighting a specific interaction type that contributes to the signal.

Contribution

It introduces a new formalism based on Glauber theory to calculate T-violation signals in tensor- and vector-polarized deuteron scattering, considering spin dependence and phenomenological models.

Findings

Only one type of T non-invariant, P invariant NN interaction contributes to the signal.

Numerical calculations cover energies from 0.1 to 1.2 GeV and 2.5 to 25 GeV for upcoming experiments.

The formalism helps isolate unknown constants of T-violating interactions from experimental data.

Abstract

A formalism has been developed for calculating the signal of violation of $T$ invariance, provided that $P$ invariance is preserved during the scattering of tensor-polarized deuterons on vector-polarized ones based on the Glauber theory with the full consideration of spin dependence of $NN$ elastic scattering amplitudes and spin structure of colliding deuterons. The numerical calculations have been carried out in the range of laboratory proton energies $T_p=0.1$--$1.2$ GeV using the SAID database for spin amplitudes and in the energy region of the SPD NICA experiment corresponding to the invariant mass of the interacting nucleon pairs $\sqrt{s_{NN}}= 2.5$--$25$ GeV, using two phenomenological models of $pN$ elastic scattering. It is found that only one type of the $T$ non-invariant $P$-invariant $NN$ interaction gives a non-zero contribution to the signal in question, that is important for isolating an unknown constant of this interaction from the corresponding data.