Adiabatic hyperspherical analysis of realistic nuclear potentials

TL;DR

This paper applies the hyperspherical adiabatic method with realistic nuclear potentials to calculate adiabatic potentials and triton energies, highlighting the effectiveness of the slow variable discretization method over Laguerre basis approaches.

Contribution

It demonstrates the application of the hyperspherical adiabatic method to realistic nuclear potentials and compares different basis methods for calculating nuclear bound states.

Findings

Discretized variable representation yields energies consistent with literature.

Laguerre basis misses energy even with extrapolation.

Excludes isospin T=3/2 contribution.

Abstract

Using the hyperspherical adiabatic method with the realistic nuclear potentials Argonne V14, Argonne V18, and Argonne V18 with the Urbana IX three-body potential, we calculate the adiabatic potentials and the triton bound state energies. We find that a discrete variable representation with the slow variable discretization method along the hyperradial degree of freedom results in energies consistent with the literature. However, using a Laguerre basis results in missing energy, even when extrapolated to an infinite number of basis functions and channels. We do not include the isospin $T=3/2$ contribution in our analysis.