Projected hartree-fock calculation for light nuclei (I). Energies and wave functions

M. Bouten; P. Van Leuven; H. Depuydt; L. Schotsmans

doi:10.1016/0375-9474(67)90356-9

Projected hartree-fock calculation for light nuclei (I). Energies and wave functions

M. Bouten
, P. Van Leuven
, H. Depuydt
, L. Schotsmans

Research output › peer-review

Abstract

An approximate projected Hartree-Fock calculation has been carried out for the low-lying levels of nuclei with 4 ≦ A ≦ 8. The two-body interaction used is Volkov's potential no. 1. The calculated binding energies are compared which those from other variational methods. With respect to the shell-model approximation, a considerable increase is obtained, which reaches 15 MeV for ⁸Be. The orbitals, resulting from the minimization of the energy, can be looked upon as approximate eigenfunctions of a deformed oscillator potential. The systematics of size and deformation of these orbitals are presented. The deformation is larger for the orbitals of the inner ⁴He core than for the orbitals of the outer particles.

Original language	English
Pages (from-to)	90-104
Number of pages	15
Journal	Nuclear Physics, Section A
Volume	100
Issue number	1
DOIs	https://doi.org/10.1016/0375-9474(67)90356-9
State	Published - 19 Jul 1967

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0375-9474(67)90356-9

Cite this

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title = "Projected hartree-fock calculation for light nuclei (I). Energies and wave functions",

abstract = "An approximate projected Hartree-Fock calculation has been carried out for the low-lying levels of nuclei with 4 ≦ A ≦ 8. The two-body interaction used is Volkov's potential no. 1. The calculated binding energies are compared which those from other variational methods. With respect to the shell-model approximation, a considerable increase is obtained, which reaches 15 MeV for 8Be. The orbitals, resulting from the minimization of the energy, can be looked upon as approximate eigenfunctions of a deformed oscillator potential. The systematics of size and deformation of these orbitals are presented. The deformation is larger for the orbitals of the inner 4He core than for the orbitals of the outer particles.",

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AU - Bouten, M.

AU - Van Leuven, P.

AU - Depuydt, H.

AU - Schotsmans, L.

PY - 1967/7/19

Y1 - 1967/7/19

N2 - An approximate projected Hartree-Fock calculation has been carried out for the low-lying levels of nuclei with 4 ≦ A ≦ 8. The two-body interaction used is Volkov's potential no. 1. The calculated binding energies are compared which those from other variational methods. With respect to the shell-model approximation, a considerable increase is obtained, which reaches 15 MeV for 8Be. The orbitals, resulting from the minimization of the energy, can be looked upon as approximate eigenfunctions of a deformed oscillator potential. The systematics of size and deformation of these orbitals are presented. The deformation is larger for the orbitals of the inner 4He core than for the orbitals of the outer particles.

AB - An approximate projected Hartree-Fock calculation has been carried out for the low-lying levels of nuclei with 4 ≦ A ≦ 8. The two-body interaction used is Volkov's potential no. 1. The calculated binding energies are compared which those from other variational methods. With respect to the shell-model approximation, a considerable increase is obtained, which reaches 15 MeV for 8Be. The orbitals, resulting from the minimization of the energy, can be looked upon as approximate eigenfunctions of a deformed oscillator potential. The systematics of size and deformation of these orbitals are presented. The deformation is larger for the orbitals of the inner 4He core than for the orbitals of the outer particles.

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