solution of Hartree-Fock equations for axially symmetric nuclei - INSPIRE

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solution of Hartree-Fock equations for axially symmetric nuclei

Pervez Hoodbhoy
(
- MIT, LNS
)
,
John W. Negele
(
- MIT, LNS
)

1977

22 pages

Published in:

Nucl.Phys.A 288 (1977) 23-44

Published: 1977

DOI:

10.1016/0375-9474(77)90079-3

View in:

Nuclear Science References

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Abstract: (Elsevier)

As an alternative to the conventional deformed harmonic oscillator basis expansion, a method is developed in which the coupled integro-differential Hartree-Fock equations are solved directly in coordinate space for a simple effective interaction. The single particle wave functions are obtained on a finite mesh by minimizing a discretized energy functional and solving the resulting finite difference equations using the Lanczos algorithm. Expressions to correct the total energy to second order in the mesh spacing are derived, and the accuracy of the method is demonstrated by numerical comparison with spherical results. Applications and advantages of this new technique are briefly discussed.

References(15)

Figures(0)

[1]

Hartree-Fock calculations with Skyrme's interaction. 1. Spherical nuclei

D. Vautherin
(
- MIT, LNS
)
,
D.M. Brink
(
- Oxford U.
)

- Phys.Rev.C 5 (1972) 626-647
•
DOI:
- 10.1103/PhysRevC.5.626

[2]

Density-Matrix Expansion for an Effective Nuclear Hamiltonian

John W. Negele
(
- MIT, LNS
)
,
D. Vautherin
(
- MIT, LNS
)

- Phys.Rev.C 5 (1972) 1472-1493
•
DOI:
- 10.1103/PhysRevC.5.1472

[3]

J.W. Negele

[4]

One-dimensional nuclear dynamics in the time-dependent Hartree-Fock approximation

- Phys.Rev.C 13 (1976) 1226-1258
•
DOI:
- 10.1103/PhysRevC.13.1226

[5]

Hartree-Fock Calculations with Skyrme's Interaction. 2. Axially Deformed Nuclei

D. Vautherin
(
- Imperial Coll., London and
- MIT and
- Orsay, IPN
)

- Phys.Rev.C 7 (1973) 296-316
•
DOI:
- 10.1103/PhysRevC.7.296

[6]

Bachelor's thesis

B. Barrois

[7]

J.W. Negele

[8]

Time-dependent Hartree-Fock calculations for O-16 + O-16 and Ca-40 + Ca-40 reactions

S.E. Koonin
(
- Caltech, Kellogg Lab
)
,
K.Thomas R. Davies
(
- Oak Ridge
)
,
V. Maruhn-Rezwani
(
- Oak Ridge
)
,
H. Feldmeier
(
- Oak Ridge
)
,
S.J. Krieger
(
- Oak Ridge
)

et al.

- Phys.Rev.C 15 (1977) 1359-1374
•
DOI:
- 10.1103/PhysRevC.15.1359

[9]

private communication

Y. Boneh

[10]

A numerical approach to nuclear shell-model calculations

R.R. Whitehead

- Nucl.Phys.A 182 (1972) 290-300
•
DOI:
- 10.1016/0375-9474(72)90278-3

[11]

T. Sebe
,
J. Nachamkin

- Annals Phys. 51 (1968) 100

[12]

private communication

K.T.R. Davies
,
S. Krieger
,
T. Welton

[13]

Matrix iterative analysis

R. Varga

[14]

Handbook of mathematical functions

M. Abramowitz
,
I. Stegun

[15]

Self-consistent calculation of the fission barrier of 240 Pu

- Nucl.Phys.A 231 (1974) 176-188
•
DOI:
- 10.1016/0375-9474(74)90300-5