Energy functional for the three-level Lipkin model

被引：10

作者：

Bertolli, Michael G. ^{[1
]}

Papenbrock, Thomas ^{[1
,2
]}

机构：

[1] Univ Tennessee, Dept Phys & Astron, Knoxville, TN 37996 USA

[2] Oak Ridge Natl Lab, Div Phys, Oak Ridge, TN 37831 USA

来源：

PHYSICAL REVIEW C | 2008年 / 78卷 / 06期

关键词：

D O I：

10.1103/PhysRevC.78.064310

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

We compute the energy functional of a three-level Lipkin model via a Legrendre transform and compare exact numerical results with analytical solutions obtained from the random phase approximation (RPA). Except for the region of the phase transition, the RPA solutions perform very well. We also study the case of three nondegenerate levels and again find that the RPA solution agrees well with the exact numerical result. For this case, the analytical results give us insight into the form of the energy functional in the presence of symmetry-breaking one-body potentials.

引用

页数：7

共 34 条

[1] Self-consistent mean-field models for nuclear structure [J].

Bender, M ;

Heenen, PH ;

Reinhard, PG .

REVIEWS OF MODERN PHYSICS, 2003, 75 (01) :121-180

[2] Single-particle properties from Kohn-Sham Green's functions [J].

Bhattacharyya, A ;

Furnstahl, RJ .

PHYSICS LETTERS B, 2005, 607 (3-4) :259-266

[3] The kinetic energy density in Kohn-Sham density functional theory [J].

Bhattacharyya, A ;

Furnstahl, RJ .

NUCLEAR PHYSICS A, 2005, 747 (2-4) :268-294

[4] Density-functional theory for fermions close to the unitary regime [J].

Bhattacharyya, Anirban ;

Papenbrock, T. .

PHYSICAL REVIEW A, 2006, 74 (04)

[5] ANALYSIS OF THE GENERATOR-COORDINATE METHOD IN A STUDY OF SHAPE ISOMERISM IN HG-194 [J].

BONCHE, P ;

DOBACZEWSKI, J ;

FLOCARD, H ;

HEENEN, PH ;

MEYER, J .

NUCLEAR PHYSICS A, 1990, 510 (03) :466-502

[6] Local-density-functional theory for superfluid fermionic systems: The unitary gas [J].

Bulgac, Aurel .

PHYSICAL REVIEW A, 2007, 76 (04)

[7] Superfluid Fermi gases with large scattering length [J].

Carlson, J ;

Chang, SY ;

Pandharipande, VR ;

Schmidt, KE .

PHYSICAL REVIEW LETTERS, 2003, 91 (05) :504011-504014

[8] HARTREE-FOCK-BOGOLYUBOV DESCRIPTION OF NUCLEI NEAR THE NEUTRON-DRIP LINE [J].

DOBACZEWSKI, J ;

FLOCARD, H ;

TREINER, J .

NUCLEAR PHYSICS A, 1984, 422 (01) :103-139

[9] MICROSCOPIC MASS FORMULAS [J].

DUFLO, J ;

ZUKER, AP .

PHYSICAL REVIEW C, 1995, 52 (01) :R23-R27

[10] Non-empirical pairing functional [J].

Duguet, T. ;

Lesinski, T. .

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2008, 156 (1) :207-215

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