Partially conserved axial current constraints on pion production/absorption within nonrelativistic dynamics

We show the necessity of two-nucleon axial currents and associated pion emission/ absorption operators for the partial conservation of the axial current (PCAC) nuclear matrix elements with arbitrary nuclear dynamics described by a nonrelativistic Schroedinger equation. As examples we construct such nonrelativistic axial two-body currents in the linear- and heterotic (g_A = 1.26) sigma models, with an optional isoscalar vector (omega) meson exchange. The nuclear matrix elements obey PCAC only if the nuclear wave functions used in the calculation are solutions to the Schroedinger equation with the static one-meson-exchange potential constructed in the respective (sigma) model. The same holds true for the nucler pion production amplitude, since it is proportional to the divergence of the axial current matrix element, by virtue of PCAC. Thus we found a new consistency condition between the pion creation/absorption operator and the nuclear Hamiltonian. We present examples drawn from our models and discuss implications for one-pion-two-nucleon processes.Comment: 19 pages, 7 figures, submitted to Phys. Rev.

Model Analysis of Time Reversal Symmetry Test in the Caltech Fe-57 Gamma-Transition Experiment

The CALTECH gamma-transition experiment testing time reversal symmetry via the E2/M1 mulipole mixing ratio of the 122 keV gamma-line in Fe-57 has already been performed in 1977. Extending an earlier analysis in terms of an effective one-body potential, this experiment is now analyzed in terms of effective one boson exchange T-odd P-even nucleon nucleon potentials. Within the model space considered for the Fe-57 nucleus no contribution from isovector rho-type exchange is possible. The bound on the coupling strength phi_A from effective short range axial-vector type exchange induced by the experimental bound on sin(eta) leads to phi_A < 10^{-2}.Comment: 5 pages, RevTex 3.