Novel Monte Carlo representation for shell model in the complex energy plane

TL;DR

This paper introduces a Monte Carlo method for evaluating quantum states in the continuum, efficiently approximating solutions for complex nuclear systems, demonstrated on neutron-rich oxygen isotopes.

Contribution

It presents a novel Monte Carlo approach for the shell model in the complex energy plane, enabling accurate quantum state calculations with fewer iterations.

Findings

Converges to exact solutions with about 100 iterations for small systems.

Successfully applied to neutron-rich oxygen isotopes.

Provides a new computational tool for continuum quantum states.

Abstract

A Monte Carlo method is presented to evaluate quantum states with many particles moving in the continuum. The scattering state is generated at each time by a Monte Carlo random sampling algorithm. The same calculation are repeated until the average energies of all calculations converge. For systems with one and a few particles, our calculations show that the exact solution can be approached with around only one hundred iterations. As examples, we apply the approach to study the structure of neutron-rich oxygen isotopes.