Time-dependent method for many-body problems and its application to nuclear resonant systems

TL;DR

This paper introduces a time-dependent approach to model the evolution of a three-body nuclear system, capturing two-nucleon emission processes and providing insights into many-body dynamics in nuclear resonant systems.

Contribution

It develops a novel time-dependent method applied to a one-dimensional three-body nuclear model, elucidating emission mechanisms in nuclear decay.

Findings

Identification of correlated two-nucleon emission as an early process.

Observation of sequential separation of particles at later times.

Demonstration of the method's suitability for meta-stable and open quantum systems.

Abstract

The decay process of the schematic one-dimensional three-body system is considered. A time-dependent approach is used in combination with a one-dimensional three-body model, which is composed of a heavier core nucleus and two nucleons, with the aim of describing its evolution in two-nucleon emission. The process is calculated from the initial state, in which the three ingredient particles are confined. In this process, two different types of emission can be found: the earlier process includes the emission of spatially correlated two-nucleon pair, like a dinucleon, whereas, at a subsequent time, all the particles are separated from each other. The time-dependent method can be a suitable option to investigate the meta-stable and/or open-quantum systems, where the complicated many-body dynamics should necessarily be taken into account.