Convergence of triton asymptotic wave function for hyperspherical harmonics expansion with two nucleon Reid soft core potential

Abstract

The asymptotic normalization constants (ANC) Co and C2 of the triton have been calculated by the hyperspherical harmonics expansion method with the Reid soft core potential (no three body force). The results do not agree with the corresponding calculations by the Faddeev method, when only a few hyperspherical partial waves are included. However Schneider's convergence theorems on hyperspherical expansion allow one to extrapolate the results for a large number of partial waves and then they agree fairly well with the Faddeev results. This indicates that even though the hyperspherical expansion for the asymptotic wave function is very slow, a convergent and reliable wave function is attained by extrapolation of a relatively small-sized calculation.PACS number(s): 21.45.+v, 25.10.+s, 27.10.+h A study [1] of the asymptotic normalization constants (ANC's) for the trinucleon system by the hyperspherical harmonics expansion (HHE) method [2] using the Afnan-