Nuclear energy functional with a surface-peaked effective mass: global properties

Abstract We provide a definition of the effective mass for the classical polaron described by the Landau-Pekar equations. It is based on a novel variational principle, minimizing the energy functional over states with given (initial) velocity. The resulting formula for the polaron's effective mass agrees with the prediction by Landau and Pekar.

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CONSTRAINING SYMMETRY RESTORATION WITHIN THE NUCLEAR ENERGY DENSITY FUNCTIONAL METHOD

Modern Physics Letters A ◽

10.1142/s0217732310000927 ◽

2010 ◽

Vol 25 (21n23) ◽

pp. 2016-2017

Author(s):

J. SADOUDI ◽

T. DUGUET

Keyword(s):

Wave Function ◽

Energy Density ◽

Density Functional ◽

Nuclear Energy ◽

Density Functional Method ◽

Energy Functional ◽

Functional Method ◽

Energy Density Functional ◽

Density Functional Methods ◽

Functional Methods

We review the notion of symmetry breaking and restoration within the frame of nuclear energy density functional methods. We focus on key differences between wave-function- and energy-functional-based methods. In particular, we point to difficulties to formulate the restoration of symmetries within the energy functional framework.

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Low-density expansion and isospin dependence of nuclear energy functional: Comparison between relativistic and Skyrme models

Physical Review C ◽

10.1103/physrevc.76.044316 ◽

2007 ◽

Vol 76 (4) ◽

Cited By ~ 14

Author(s):

L. Brito ◽

Ph. Chomaz ◽

D. P. Menezes ◽

C. Providência

Keyword(s):

Nuclear Energy ◽

Energy Functional ◽

Low Density ◽

Isospin Dependence ◽

Density Expansion

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Surface-peaked effective mass in the nuclear energy density functional and its influence on single-particle spectra

Physical Review C ◽

10.1103/physrevc.81.044314 ◽

2010 ◽

Vol 81 (4) ◽

Cited By ~ 7

Author(s):

M. Zalewski ◽

P. Olbratowski ◽

W. Satuła

Keyword(s):

Energy Density ◽

Effective Mass ◽

Single Particle ◽

Density Functional ◽

Nuclear Energy ◽

Energy Density Functional ◽

Particle Spectra

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PROBING SPIN FIELDS AND SPIN-ORBIT TERM OF THE LOCAL NUCLEAR ENERGY FUNCTIONAL AT BAND TERMINATION

International Journal of Modern Physics E ◽

10.1142/s0218301305003260 ◽

2005 ◽

Vol 14 (03) ◽

pp. 451-456 ◽

Cited By ~ 6

Author(s):

H. ZDUŃCZUK ◽

W. SATUŁA ◽

R. A. WYSS

Keyword(s):

Systematic Study ◽

Nuclear Energy ◽

Energy Functional ◽

Mass Region ◽

The Self ◽

Spin Orbit ◽

Hartree Fock ◽

Orbit Potential ◽

Self Consistent ◽

Spin Fields

A systematic study of the terminating states in A~50 mass region using the self-consistent Skyrme-Hartree-Fock model is presented. The objective is to use the intrinsic simplicity of the terminating states to constrain certain parameters of the local nuclear energy functional. In particular, the work focuses on the spin fields and the spin-orbit term and constrain the appropriate Landau parameters and the strength of the spin-orbit potential.

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THE SYMMETRY ENERGY AND OTHER OPEN QUESTIONS CONCERNING EFFECTIVE FUNCTIONALS

International Journal of Modern Physics E ◽

10.1142/s0218301309013166 ◽

2009 ◽

Vol 18 (04) ◽

pp. 1008-1013

Author(s):

G. COLÒ

Keyword(s):

Nuclear Structure ◽

Excited States ◽

Symmetry Energy ◽

Nuclear Energy ◽

Energy Functional ◽

Giant Resonances ◽

Structure Community ◽

Open Questions ◽

Physical Background ◽

Free Parameters

The nuclear structure community is striving to determine a nuclear energy functional which is as universal and as accurate as possible. When a functional is determined by fitting free parameters, the constraints on these parameters coming from excited states (like the well-known giant resonances) are not, as a rule, imposed. This work shows that at least three constraints could be imposed on Skyrme functionals, by explaining the physical background and discussing their relevance.

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ON THE BREAKING AND RESTORATION OF SYMMETRIES WITHIN THE NUCLEAR ENERGY DENSITY FUNCTIONAL FORMALISM

International Journal of Modern Physics E ◽

10.1142/s0218301311017612 ◽

2011 ◽

Vol 20 (02) ◽

pp. 270-273 ◽

Cited By ~ 1

Author(s):

T. DUGUET ◽

J. SADOUDI

Keyword(s):

Wave Function ◽

Energy Density ◽

Density Functional ◽

Nuclear Energy ◽

Energy Functional ◽

Functional Formalism ◽

Energy Density Functional ◽

Broken Symmetries ◽

Density Functional Methods ◽

Functional Methods

We review the notion of symmetry breaking and restoration within the frame of nuclear energy density functional methods. We focus on key differences between wave-function-and energy-functional-based methods. In particular, we point to difficulties encountered within the energy functional framework and discuss new potential constraints on the underlying energy density functional that could make the restoration of broken symmetries better formulated within such a formalism. We refer to Ref.1 for details.

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