P,T-Violating Nuclear Matrix Elements in the One-Meson Exchange Approximation

Details P,T-Violating Nuclear Matrix Elements in the One-Meson Exchange Approximation P,T-Violating Nuclear Matrix Elements in the One-Meson Exchange Approximation

1994-02-24

arxiv.org/abs/nucl-th/9402026v1

Phys.Rev.C49:2391-2397,1994

Physics

Nuclear Physics

Nuclear Theory

17 pages, LaTeX, no figures

Scientific paper

10.1103/PhysRevC.49.2391

Expressions for the P,T-violating NN potentials are derived for $\pi$, $\rho$ and $\omega$ exchange. The nuclear matrix elements for $\rho$ and $\omega$ exchange are shown to be greatly suppressed, so that, under the assumption of comparable coupling constants, $\pi$ exchange would dominate by two orders of magnitude. The ratio of P,T-violating to P-violating matrix elements is found to remain approximately constant across the nuclear mass table, thus establishing the proportionality between time-reversal-violation and parity-violation matrix elements. The calculated values of this ratio suggest a need to obtain an accuracy of order $ 5 \times 10^{-4}$ for the ratio of the PT-violating to P-violating asymmetries in neutron transmission experiments in order to improve on the present limits on the isovector pion coupling constant.

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