Calculation of the Isobaric Analogue Resonance Using Shell Model in the Complex Energy Plane

R. Id Betan, A. Rácz, T. Vertse

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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.

Original languageEnglish
Pages (from-to)2222-2226
Number of pages5
JournalInternational Journal of Theoretical Physics
Issue number7
Publication statusPublished - Jul 1 2011



  • Complex energy shell model
  • Continuum
  • Gamow states
  • Lane equations

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy (miscellaneous)

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