Rho-meson exchange three-body force effects.

Abstract

For each of several proposed \ensuremath{\pi}-meson cutoff masses (${\mathrm{\ensuremath{\Lambda}}}_{\mathrm{\ensuremath{\pi}}}$) in the \ensuremath{\pi}NN form factor, we obtained \ensuremath{\rho}-meson cutoff mass (${\mathrm{\ensuremath{\Lambda}}}_{\mathrm{\ensuremath{\rho}}}$) in the \ensuremath{\rho}NN form factor so that the three-body force with these form factors may reproduce the triton binding energy. We calculated the wave function and the exchange current in the Gamow-Teller matrix element for the triton beta decay, consistently using these form factors. The most favorable set ${\mathrm{\ensuremath{\Lambda}}}_{\mathrm{\ensuremath{\pi}}}$=0.81 GeV and ${\mathrm{\ensuremath{\Lambda}}}_{\mathrm{\ensuremath{\rho}}}$=1.13 GeV yielded a triton binding energy of 8.485 MeV (experimentally, 8.482 MeV) and a Gamow-Teller matrix element divided by \ensuremath{\surd}3 0f 0.955 (experimentally, 0.961).