Bethe-Goldstone equation in finite nuclei

Demos, Joslyn R. ; Banerjee, Manoj K. (1972) Bethe-Goldstone equation in finite nuclei Physical Review C, 5 (1). pp. 75-84. ISSN 0556-2813

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Following Brandow's suggestion of setting Q∪Q=0, where ∪ is the single-particle potential, the Bethe-Goldstone equation becomes Ψ =Φ-[Q/(QTQ-ω]vΨ . This equation has been approximated by replacing Q with the Eden-Emery Pauli operator and by neglecting Tχ , where T is the off-diagonal part of the c.m. kinetic energy operator in the oscillator representation. Care has been taken to retain TΦ, which is a large term. The approximate equation has been solved iteratively. It yields defect functions with the bulk of the effect of Q built in. Correction terms to our approximate results have been estimated. A very satisfactory feature of the present approach is that there is considerable cancellation between the so-called spectral and Pauli correction terms. The biggest correction term is <χ|T|χ>, which can be as large as 0.5 MeV in the triplet even case.

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Source:Copyright of this article belongs to American Physical Society.
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Deposited On:08 Oct 2010 09:17
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