Deuteron-nucleus total reaction cross sections up to 1 GeV

TL;DR

This paper introduces a microscopic three-body reaction model to calculate deuteron-nucleus total reaction cross sections up to 1 GeV, providing a parameter-free, consistent, and simple formula applicable to various energies and nuclei.

Contribution

It presents a new microscopic three-body reaction model for deuteron-nucleus reactions that requires no free parameters and offers a simple formula for cross sections up to 1 GeV.

Findings

Model predictions agree with phenomenological evaluations up to 200 MeV.

A simple formula accurately estimates cross sections up to 1 GeV.

Applicable to reactions involving both stable and unstable nuclei.

Abstract

Total reaction cross sections of deuteron, $\sigma_d^{\rm R}$, are calculated by a microscopic three-body reaction model. The reaction model has no free adjustable parameter and applicable to reactions at various deuteron incident energies $E_d$ and with both stable and unstable nuclei. The predicted $\sigma_d^{\rm R}$ are consistent with those evaluated by a phenomenological optical potential for $E_d\leq 200$ MeV in which the potential has been parametrized. A simple formula of $\sigma_d^{\rm R}$ up to $E_d=1$ GeV, as a function of $E_d$, the target mass number $A$ and its atomic number $Z$, is given.