Ground-state correlations beyond RPA - INSPIRE

DataBETA

Ground-state correlations beyond RPA

1994

12 pages

Published in:

Nucl.Phys.A 579 (1994) 1-12

Published: 1994

DOI:

10.1016/0375-9474(94)90790-0

View in:

Nuclear Science References

reference search86 citations

Citations per year

Abstract: (Elsevier)

An approach is proposed which includes ground-state correlations beyond RPA. This is achieved by using a renormalized quasiboson approximation with reference to the correlated ground-state of the system, rather than to the uncorrelated Hartree-Fock one, and by expressing the particle-particle and hole-hole pair operators in terms of the particle-hole ones. The set of the so-obtained nonlinear equations for the one-phonon energy and amplitudes are first solved within the Lipkin-Meshkov-Glick model and the results are compared with those of previous approaches as well as with the exact ones. Applications to realistic nuclei, starting from fully self-consistent HF + RPA calculations with a Skyrme force are also presented.

References(30)

Figures(0)

[1]

The nuclear many-body problem

P. Ring
,
P. Schuck

[2]

Quantum theory of finite systems

J.P. Blaizot
,
G. Ripka

[3]

Generalized Hartree-Fock Approximation for the Calculation of Collective States of a Finite Many-Particle System

Arthur K. Kerman
(
- MIT
)
,
Abraham Klein
(
- Pennsylvania U.
)

- Phys.Rev. 132 (1963) 1326-1342
•
DOI:
- 10.1103/PhysRev.132.1326

[3]

Dang
,
G. Do
,
A. Klein

- Phys.Rev. 133 (1964) B257

[4]

Concept of Ideal Collective Coordinate as the Foundation for a Phenomenological Theory of Nuclear Collective Motion: Basic Ideas and Relation to Other Phenomenological Methods

- Phys.Rev. 171 (1968) 1216-1223
•
DOI:
- 10.1103/PhysRev.171.1216

[4]

A. Klein
,
R.E. Johnson

- Phys.Rev. 171 (1968) 1224

[4]

Methods for Calculating Ground-State Correlations of Vibrational Nuclei

- Phys.Rev. 186 (1969) 1289-1292
•
DOI:
- 10.1103/PhysRev.186.1289

[4]

Ground state correlations as variational parameters in the nuclear many-body problem

- Nucl.Phys.A 166 (1971) 624-642
•
DOI:
- 10.1016/0375-9474(71)90910-9

[5]

K. Hara

- Prog.Theor.Phys. 32 (1964) 88

[5]

K. Ikeda
,
T. Udagawa
,
H. Yamaura

- Prog.Theor.Phys. 33 (1965) 22

[6]

Methods for Calculating Ground-State Correlations of Vibrational Nuclei

D.J. Rowe
(
- Rochester U.
)

- Phys.Rev. 175 (1968) 1283-1292
•
DOI:
- 10.1103/PhysRev.175.1283

[6]

Equations-of-Motion Method and the Extended Shell Model

D.J. Rowe

- Rev.Mod.Phys. 40 (1968) 153-166
•
DOI:
- 10.1103/RevModPhys.40.153

[6]

Investigation of Ground-State Correlations for a Model Hamiltonian of the Nucleus

J.C. Parikh
(
- Rochester U.
)
,
D.J. Rowe
(
- Rochester U.
)

- Phys.Rev. 175 (1968) 1293-1300
•
DOI:
- 10.1103/PhysRev.175.1293

[6]

General variational equations for stationary and time-dependent states

D.J. Rowe

- Nucl.Phys.A 107 (1968) 99-105
•
DOI:
- 10.1016/0375-9474(68)90727-6

[7]

Excitations as ground state variational parameters

- Nucl.Phys.A 130 (1969) 386-400
•
DOI:
- 10.1016/0375-9474(69)90737-4

[8]

Self-consistent (nuclear) phonons

- Nucl.Phys.A 212 (1973) 269-286
•
DOI:
- 10.1016/0375-9474(73)90563-0

[9]

Towards a variational theory for RPA-like correlations and fluctuations

- Nucl.Phys.A 512 (1990) 466-482
•
DOI:
- 10.1016/0375-9474(90)90081-V

[9]

J. Dukelsky
,
P. Schuck

- Mod.Phys.Lett.A 6 (1991) 2429

[9]

D. Janssen
,
P. Schuck

- Z.Phys.A 339 (1991) 43

[10]

Ground-state correlations and restoration of broken symmetry to nuclear mean field theory

- Nucl.Phys.A 535 (1991) 1-22
•
DOI:
- 10.1016/0375-9474(91)90513-6

[11]

Validity of many-body approximation methods for a solvable model. 1. Exact solutions and perturbation theory

H.J. Lipkin
(
- Weizmann Inst.
)
,
N. Neshkov
(
- Weizmann Inst. and
- Maryland U.
)
,
A.J. Glick
(
- Weizmann Inst. and
- Maryland U.
)

- Nucl.Phys. 62 (1965) 188-198
•
DOI:
- 10.1016/0029-5582(65)90862-X

[11]

Validity of many-body approximation methods for a solvable model : (II). Linearization procedures

- Nucl.Phys. 62 (1965) 2, 199-210
•
DOI:
- 10.1016/0029-5582(65)90863-1

[11]

Validity of many-body approximation methods for a solvable model : (III). Diagram summations

- Nucl.Phys. 62 211-224
•
DOI:
- 10.1016/0029-5582(65)90864-3

[12]

La méthode de la fonction génératrice et les développements en quasibosons

- Nucl.Phys.A 188 (1972) 545-565
•
DOI:
- 10.1016/0375-9474(72)90219-9

[12]

High-lying two-phonon states in 40 Ca

- Phys.Lett.B 233 (1989) 6-10
•
DOI:
- 10.1016/0370-2693(89)90606-0

1-25 of 30
1
2
25 / page