September 2012

Conference Paper

Calculation The Isobaric Analogue Resonance Using Shell Model in The Complex Energy Plane

By:
Racz, A.; Vertse, T.; Id Betan, Rodolfo
Journal Name:
International Journal of Theoretical Physics
Page Number:
2222
Volume:
50
Issue Number:
N/A
Publication Date:
September 2012
Conference Name:
Recent Advances in Time-Asymmetric Quantum Mechanics, Quantization and Related Topics
Conference Location:
Valladolid, Spain

Abstract

A convenient tool for studying nuclei being far away from the beta stability line is the complex energy shell model (CXSM) in which the Berggren representation (Nucl. Phys. A 109:265, 1968) (BR) is used. The BR is formed from bound, resonant sates, and complex-energy scattering states. The parameters of isobaric analog resonance (IAR) are calculated in the framework of the Lane-model (Nucl. Phys. A 35:676, 1962) using CXSM. The novel feature of the present CXSM calculation is that the optical potentials used are complex. Results of the CXSM calculation are checked against those of the standard solution of the coupled channel Lane-equations (CC). The IAR parameters calculated by the CXSM agree well with that of the CC results for absorptive and emittive optical potentials. This agreement confirms the applicability of the CXSM calculation for complex potential.