Application of R-matrix and Lagrange-mesh methods to nuclear transfer reactions

TL;DR

This paper demonstrates the effective use of R-matrix and Lagrange-mesh methods within the ADWA framework to accurately model nuclear transfer reactions involving weakly bound nuclei, exemplified by the 54Fe(d,p)55Fe reaction.

Contribution

The study introduces a combined R-matrix and Lagrange-mesh approach within ADWA for nuclear transfer reactions, improving computational efficiency and accuracy.

Findings

Methods accurately reproduce angular distributions of cross sections.

Breakup effects are effectively incorporated in the calculations.

Approach shows promise for coupled channel calculations.

Abstract

Background: Nuclear transfer reactions are a useful tool to study the structure of a nucleus. For reactions involving weekly bound nuclei, breakup effects can play significant role and theoretical calculations can be computational expensive in such cases. Purpose: To utilize the Lagrange-mesh and R-matrix methods for nuclear transfer reactions. Methods: We use the adiabatic distorted wave approximation (ADWA) method which can approximately treats the breakup effects in a simpler manner. In our approach, we apply the R-matrix method combining it with the Lagrange-mesh method, which is known to provide the fast and accurate computations. Results: As a test case, we calculate the angular distribution of the cross sections for the 54Fe(d, p)55Fe reaction, where deuteron breakup effects play important role. Conclusions: We show that these methods work well in the ADWA framework, and we look forward to applying these methods in coupled channel calculations.