Asymptotic normalization constants for 3H-->n+d and triton binding energy.

Abstract

Listen

Translate article

The asymptotic normalization constants ${C}_{2}$ and ${C}_{0}$ for $^{3}$H\ensuremath{\rightarrow}n+d are calculated by the 34-channel triton wave functions obtained for the Argonne, the Paris, and the de Tourreil--Rouben--Spring two-nucleon potentials with the Tucson-Melbourne three-nucleon potential. These two-nucleon potentials without the three-nucleon potential yield the ratio ${C}_{2}$/${C}_{0}$ at most of 0.04. The Tucson-Melbourne potential makes the value of ${C}_{2}$/${C}_{0}$ increase about 10%. This ratio is linearly correlated with the triton binding energy without regard to the potential, provided that the potentials have the same asymptotic (one-pion exchange) behavior. From this relationship, we deduce the value of ${C}_{2}$/${C}_{0}$ to be 0.0432\ifmmode\pm\else\textpm\fi{}0.0015.