Adiabatic hyperspherical approach to large-scale nuclear dynamics

TL;DR

This paper introduces a microscopic adiabatic hyperspherical method for modeling large-scale nuclear dynamics, utilizing a hyperradius as a collective coordinate and employing multicluster basis functions for larger systems.

Contribution

It develops a novel microscopic approach using hyperspherical coordinates and multicluster basis functions to study large nuclear systems beyond few-body models.

Findings

Effective calculation of adiabatic Hamiltonian matrix elements

Validation of the method's applicability to larger nuclear systems

Potential for improved understanding of nuclear collective motion

Abstract

We formulate a fully microscopic approach to large-scale nuclear dynamics using a hyperradius as a collective coordinate. An adiabatic potential is defined by taking account of all possible configurations at a fixed hyperradius, and its hyperradius dependence plays a key role in governing the global nuclear motion. In order to go to larger systems beyond few-body systems, we suggest basis functions of a microscopic multicluster model, propose a method for calculating matrix elements of an adiabatic Hamiltonian with use of Fourier transforms, and test its effectiveness.