Quantal diffusion description of isotope production by multinucleon transfer mechanism in ${}^{48}\text{Ca}+{}^{238}\text{U}$ collisions

TL;DR

This paper extends the quantal diffusion model, based on stochastic mean-field and TDHF theories, to predict heavy neutron-rich isotope production in ${}^{48} ext{Ca}+{}^{238} ext{U}$ collisions without adjustable parameters.

Contribution

It introduces a parameter-free quantal diffusion approach derived from TDHF to accurately predict isotope production cross-sections in multinucleon transfer reactions.

Findings

Successfully predicts production cross-sections of neutron-rich isotopes.

Provides a parameter-free method based on microscopic theories.

Includes secondary particle emission effects with GEMINI++.

Abstract

As an extension of previous work, we calculate the production cross-section of heavy neutron-rich isotopes by employing the quantal diffusion description to ${}^{48} \text{Ca} + {}^{238} \text{U}$ collisions. The quantal diffusion is deduced from stochastic mean-field approach, and transport properties are determined in terms of time-dependent single-particle wave functions of the time-dependent Hartree-Fock (TDHF) theory. As a result, the approach allows for prediction of production cross-sections without any adjustable parameters. The secondary cross-sections by particle emission are calculated with the help of the statistical GEMINI++ code.