Brueckner-Hartree-Fock Calculations Using Density-Dependent Effective Interactions. Application to <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="normal">O</mi></mrow><mrow><mn>16</mn></mrow></msup></mrow></math></span>

Neal E. Reid; Manoj K. Banerjee; G. J. Stephenson, Jr

doi:10.1103/PhysRevC.5.41

Brueckner-Hartree-Fock Calculations Using Density-Dependent Effective Interactions. Application to $O^{16}$

Neal E. Reid, Manoj K. Banerjee, and G. J. Stephenson, Jr.

Phys. Rev. C 5, 41 – Published 1 January 1972

Abstract

The effects of allowing variations in the radial orbital wave functions, or major shell mixing, have been investigated within the framework of Brueckner-Hartree-Fock (BHF) theory for $O^{16}$ . The calculation is carried out in the matrix representation using harmonic-oscillator wave functions as a basis. Effective $G$ matrix elements are calculated through the use of a density-dependent, two-body operator following a prescription of Bethe. Two possible parametrizations, the local-density approximation and an average-density approximation, are compared. Consideration of the rearrangement energy shows that it is an important contribution to the binding energy. The problem is formulated in a way which facilitates the application of BHF theory to deformed as well as spherical nuclei.

Received 8 June 1971

DOI:https://doi.org/10.1103/PhysRevC.5.41

Authors & Affiliations

Neal E. Reid^*, Manoj K. Banerjee, and G. J. Stephenson, Jr.

University of Maryland, College Park, Maryland 20742

^*Present address: University of Manitoba, Winnipeg, Canada.

Comments & Replies

Brueckner-Hartree-Fock Calculations Using Density-Dependent Effective Interaction Application to Deformed Nuclei $C^{12}$ and ${Ne}^{20}$

Neal E. Reid, G. J. Stephenson, Jr., and Manoj K. Banerjee

Phys. Rev. C 5, 287 (1972)

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Vol. 5, Iss. 1 — January 1972

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Physical Review C

covering nuclear physics