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Beyond the relativistic mean-field approximation (III): Collective Hamiltonian in five dimensions

Nov, 2008

53 pages

Published in:

Phys.Rev.C 79 (2009) 034303

e-Print:

0811.0233 [nucl-th]

DOI:

10.1103/PhysRevC.79.034303

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Abstract: (arXiv)

The framework of relativistic energy density functionals is extended to include correlations related to restoration of broken symmetries and fluctuations of collective variables. A model is developed for the solution of the eigenvalue problem of a five-dimensional collective Hamiltonian for quadrupole vibrational and rotational degrees of freedom, with parameters determined by constrained self-consistent relativistic mean-field calculations for triaxial shapes. The model is tested in a series of illustrative calculations of potential energy surfaces and the resulting collective excitation spectra and transition probabilities of the chain of even-even gadolinium isotopes.

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References(48)

Figures(23)

Self-consistent mean-field models for nuclear structure

- Rev.Mod.Phys. 75 (2003) 121-180
•
DOI:
- 10.1103/RevModPhys.75.121

Relativistic Hartree Bogoliubov theory: static and dynamic aspects of exotic nuclear structure

D. Vretenar
(
- Zagreb U., Phys. Dept.
)
,
A.V. Afanasjev
(
- Notre Dame U.
)
,
G.A. Lalazissis
(
- Aristotle U., Thessaloniki
)
,
P. Ring
(
- Munich, Tech. U.
)

- Phys.Rept. 409 (2005) 101-259
•
DOI:
- 10.1016/j.physrep.2004.10.001

Relativistic Continuum Hartree Bogoliubov theory for ground state properties of exotic nuclei

J. Meng
(
)
,
H. Toki
(
- Osaka U., Res. Ctr. Nucl. Phys.
)
,
S.G. Zhou
(
- Beijing, Inst. Theor. Phys. and
- Natl. Lab. Heavy Ion Accel., Lanzhou
)
,
S.Q. Zhang
(
- Peking U.
)
,
W.H. Long
(
- Peking U.
)

et al.

- Prog.Part.Nucl.Phys. 57 (2006) 470-563
•
e-Print:
- nucl-th/0508020
•
DOI:
- 10.1016/j.ppnp.2005.06.001

Beyond the relativistic mean-field approximation: Configuration mixing of angular momentum projected wave functions

T. Niksic
(
- Zagreb U. and
- Munich, Tech. U.
)
,
D. Vretenar
(
- Zagreb U. and
- Munich, Tech. U.
)
,
P. Ring
(
- Munich, Tech. U.
)

- Phys.Rev.C 73 (2006) 034308
•
e-Print:
- nucl-th/0601005
•
DOI:
- 10.1103/PhysRevC.73.034308

Beyond the relativistic mean-field approximation (II): Configuration mixing of mean-field wave functions projected on angular momentum and particle number

T. Niksic
(
- Zagreb U. and
- Munich, Tech. U.
)
,
D. Vretenar
(
- Zagreb U. and
- Munich, Tech. U.
)
,
P. Ring
(
- Munich, Tech. U.
)

- Phys.Rev.C 74 (2006) 064309
•
e-Print:
- nucl-th/0611022
•
DOI:
- 10.1103/PhysRevC.74.064309

Microscopic description of nuclear quantum phase transitions

T. Niksic
(
- Zagreb U.
)
,
D. Vretenar
(
- Zagreb U.
)
,
G.A. Lalazissis
(
- Aristotle U., Thessaloniki
)
,
P. Ring
(
- Munich, Tech. U.
)

- Phys.Rev.Lett. 99 (2007) 092502
•
e-Print:
- 0707.3089
•
DOI:
- 10.1103/PhysRevLett.99.092502

Effects of beta-gamma coupling in transitional nuclei and the validity of the approximate separation of variables

M.A. Caprio
(
- Yale U.
)

- Phys.Rev.C 72 (2005) 054323
•
e-Print:
- nucl-th/0510059
•
DOI:
- 10.1103/PhysRevC.72.054323

A Beyond mean field analysis of the shape transition in the Neodymium isotopes

- Phys.Lett.B 663 (2008) 49-54
•
e-Print:
- 0803.3701
•
DOI:
- 10.1016/j.physletb.2008.03.061

Evolution of nuclear shapes in medium mass isotopes from a microscopic perspective

- Phys.Rev.C 78 (2008) 034314
•
DOI:
- 10.1103/PhysRevC.78.034314

Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional

Michael Bender
(
- Brussels U. and
- Washington U., Seattle and
- Argonne, PHY and
- Michigan State U., NSCL and
- DAPNIA, Saclay and
- CENBG, Gradignan
)
,
Paul-Henri Heenen
(
- Brussels U.
)

- Phys.Rev.C 78 (2008) 024309
•
e-Print:
- 0805.4383
•
DOI:
- 10.1103/PhysRevC.78.024309

Particle number projection with effective forces

- Nucl.Phys.A 696 (2001) 467-493
•
e-Print:
- nucl-th/0105003
•
DOI:
- 10.1016/S0375-9474(01)01219-2

Particle-Number Projection and the Density Functional Theory

J. Dobaczewski
(
- Tennessee U. and
- Oak Ridge and
- Warsaw U. and
- Jyvaskyla U.
)
,
M.V. Stoitsov
(
- Tennessee U. and
- Oak Ridge and
- Sofiya, Inst. Nucl. Res.
)
,
W. Nazarewicz
(
- Tennessee U. and
- Oak Ridge and
- Warsaw U.
)
,
P.-G. Reinhard
(
- Oak Ridge and
- Erlangen - Nuremberg U., Theorie III
)

- Phys.Rev.C 76 (2007) 054315
•
e-Print:
- 0708.0441
•
DOI:
- 10.1103/PhysRevC.76.054315

Particle-Number Restoration within the Energy Density Functional Formalism

M. Bender
(
- Michigan State U., NSCL and
- Saclay, SPhT and
- CENBG, Gradignan
)
,
T. Duguet
(
- Michigan State U., NSCL and
- Saclay, SPhT and
- Michigan State U.
)
,
D. Lacroix
(
- Michigan State U., NSCL and
- GANIL
)

- Phys.Rev.C 79 (2009) 044319
•
e-Print:
- 0809.2045
•
DOI:
- 10.1103/PhysRevC.79.044319

Particle-Number Restoration within the Energy Density Functional formalism: Are terms depending on non-integer powers of the density matrices viable?

T. Duguet
(
- Michigan State U., NSCL and
- Michigan State U. and
- Saclay, SPhT
)
,
M. Bender
(
- CENBG, Gradignan
)
,
K. Bennaceur
(
- Lyon, IPN and
- Saclay, SPhT
)
,
D. Lacroix
(
- GANIL
)
,
T. Lesinski
(
- Lyon, IPN
)

- Phys.Rev.C 79 (2009) 044320
•
e-Print:
- 0809.2049
•
DOI:
- 10.1103/PhysRevC.79.044320

- Rept.Prog.Phys. 50 1

Three-dimensional angular momentum projected relativistic point-coupling approach for the low-lying excited states in Mg-24

J.M. Yao
(
- Peking U. and
- Munich, Tech. U.
)
,
J. Meng
(
)
,
D.Pena Arteaga
(
- Munich, Tech. U.
)
,
P. Ring
(
- Munich, Tech. U.
)

- Chin.Phys.Lett. 25 (2008) 3609-3612
•
e-Print:
- 0811.3058
•
DOI:
- 10.1088/0256-307X/25/10/024

Analysis of the generator coordinate method in a study of shape isomerism in 194 Hg

- Nucl.Phys.A 510 (1990) 466-502
•
DOI:
- 10.1016/0375-9474(90)90062-Q

Collective potentials and inertia parameters (II)

- Nucl.Phys.A 255 (1975) 141-156
•
DOI:
- 10.1016/0375-9474(75)90154-2

The zero-point energy correction and its effect on nuclear dynamics

- Nucl.Phys.A 330 (1979) 40-52
•
DOI:
- 10.1016/0375-9474(79)90535-9

- Annals Phys. 114 123

Adiabatic time-dependent Hartree-Fock theory in nuclear physics

F. Villars

- Nucl.Phys.A 285 (1977) 269-296
•
DOI:
- 10.1016/0375-9474(77)90253-6

The Collective model of nuclear motion

- Proc.Phys.Soc.A 70 (1957) 381-387
•
DOI:
- 10.1088/0370-1298/70/5/309

Time-dependent Hartree-Fock equations and rotational state of nuclei

- Nucl.Phys. 31 (1962) 211-230
•
DOI:
- 10.1016/0029-5582(62)90741-1

- Annals Phys. 124 249

- Phys.Rev. 103 1786

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