Separable representations of two-body interactions for Faddeev calculations of light nuclei

Abstract

Separable representations of the Ernst--Shakin--Thaler type are constructed for the charge-dependent Bonn (CD~Bonn) nucleon--nucleon potential ($j\le 4$; $nn$, $np$, $pp$), for the Kanada--Kaneko--Nagata--Nomoto (KKNN) $\alpha N$ interaction, and for the Buck--Friedrich--Wheatley (BFW) $\alpha \alpha$ interaction. They serve as input for momentum-space Faddeev calculations of $A=3$, $6$, $9$, and $12$ systems. The representations are tested against six acceptance criteria: off-shell accuracy at the pair energies sampled by the three-body kernel, phase shifts, effective-range parameters, bound and resonant states, and numerical stability.

26 pages