Complex energy approaches for calculating isobaric analogue states

TL;DR

This paper compares the complex energy shell model and complex scaling methods for calculating isobaric analog resonances, showing they agree well with direct numerical solutions and discussing their differences and advantages.

Contribution

It introduces and compares two complex energy methods for calculating isobaric analog states, highlighting their accuracy and unique features.

Findings

Both methods agree with direct numerical solutions within 1 keV.

CXSM allows direct study of IAR wave function configurations.

Methods show similar accuracy across partial waves.

Abstract

Two methods the complex energy shell model (CXSM) and the complex scaling (CS) approach were used for calculating isobaric analog resonances (IAR) in the Lane model. The IAR parameters calculated by the CXSM and the CS methods were checked against the parameters extracted from the direct numerical solution of the coupled channel Lane equations (CC). The agreement with the CC results was generally better than 1 keV for both methods and for each partial waves concerned. Similarities and differences of the CXSM and the CS methods are discussed. CXSM offers a direct way to study the configurations of the IAR wave function in contrast to the CS method.