Real-time evolution method and its application to 3$\alpha$ cluster system

TL;DR

This paper introduces a novel real-time evolution method for modeling atomic nuclei cluster states, demonstrating its efficiency and accuracy through application to the 3-alpha system, and providing insights into excited nuclear states.

Contribution

The paper presents a new real-time evolution approach using Gaussian wave packets for nuclear cluster state calculations, improving efficiency and accuracy over existing models.

Findings

Method effectively describes ground and excited states.

Results are consistent with or better than existing models.

Provides insights into excited 0+ and 1− states.

Abstract

A new theoretical method is proposed to describe the ground and excited cluster states of atomic nuclei. The method utilizes the equation-of-motion of the Gaussian wave packets to generate the basis wave functions having various cluster configurations. The generated basis wave functions are superposed to diagonalize the Hamiltonian. In other words, this method uses the real time as the generator coordinate. The application to the $3\alpha$ system as a benchmark shows that the new method works efficiently and yields the result consistent with or better than the other cluster models. Brief discussion on the structure of the excited $0^+$ and $1^-$ states is also made.