Projection operator method for resonances in repulsive core potentials

Sohail A. Khan and William P. Beres
Phys. Rev. C 33, 2028 – Published 1 June 1986
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Abstract

A projection operator method is presented for the extraction of resonance energies, shifts, and widths of bound states embedded in the continuum for potentials that have a repulsive core. The procedure is applicable for heavy ion as well as nucleon-nucleus collisions. The original potential is modified beyond the radius where the repulsive core merges into the attractive part of the potential by a harmonic oscillator potential whose shape is determined primarily by the harmonic oscillator frequency. The method requires that the size of the modified well be fixed for only one particular l value. It is then automatically determined for a range of other l values. The extracted bound states can be used reliably in ensuing diagonalization procedures and in treating continuum-continuum coupling. The method is readily applicable to the determination of widths in those situations where the normal phase shift procedure cannot be employed. As a test case the procedure is applied to 12C+12C for l=0 to 8 and yields resonance energies and widths in very good agreement with a phase shift analysis.

  • Received 26 August 1985

DOI:https://doi.org/10.1103/PhysRevC.33.2028

©1986 American Physical Society

Authors & Affiliations

Sohail A. Khan and William P. Beres

  • Department of Physics, Wayne State University, Detroit, Michigan 48202

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Issue

Vol. 33, Iss. 6 — June 1986

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