Fermion calculations in the boson space using the Dyson boson mapping

J. A. Sheikh
Phys. Rev. C 37, 1295 – Published 1 March 1988
PDFExport Citation

Abstract

An algorithm for obtaining a recursive algebraic expression for the various expansion coefficients appearing in the physical boson basis states is presented, using the Dyson boson mapping. It is observed that only the first few terms of the physical boson basis states, expressed in the present form, contribute to the matrix element of the Hamiltonian. Explicit numerical calculations have been performed for Ni and Sn isotopes in the obtained physical boson basis states. The pairing Hamiltonian has been used as the model interaction. The results are more than 90% in agreement with exact shell model calculations.

  • Received 6 February 1987

DOI:https://doi.org/10.1103/PhysRevC.37.1295

©1988 American Physical Society

Authors & Affiliations

J. A. Sheikh

  • Department of Physics, Indian Institute of Technology, Bombay 400 076, India

References (Subscription Required)

Click to Expand
Issue

Vol. 37, Iss. 3 — March 1988

Reuse & Permissions
Access Options

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review C

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×