BEYOND THE RELATIVISTIC MEAN-FIELD APPROXIMATION: CONFIGURATION MIXING CALCULATIONS

2011 ◽  
Vol 20 (02) ◽  
pp. 459-464 ◽  
Author(s):  
T. NIKŠIĆ ◽  
D. VRETENAR ◽  
P. RING
Keyword(s):  
Degrees Of Freedom ◽  
Effective Interaction ◽  
Mean Field ◽  
Field Approximation ◽  
Binding Energies ◽  
Mean Field Approximation ◽  
Large Set ◽  
Relativistic Mean Field ◽  
Interaction Terms ◽  
Range Dynamics

A class of relativistic nuclear energy density functionals is explored, in which only nucleon degrees of freedom are explicitly used in the construction of effective interaction terms. Short-distance correlations, as well as intermediate and long-range dynamics, are encoded in the nucleon-density dependence of the strength functionals of an effective interaction Lagrangian. The resulting phenomenological effective interaction, adjusted to experimental binding energies of a large set of axially deformed nuclei, together with a new separable pairing interaction adjusted to reproduce the pairing gap in nuclear matter calculated with the Gogny force, is applied in the description of the quadrupole dynamics in Pt isotopes.

RELATIVISTIC NUCLEAR ENERGY DENSITY FUNCTIONALS

2010 ◽  
Vol 19 (04) ◽  
pp. 548-557 ◽  
Author(s):  
D. VRETENAR ◽  
T. NIKŠIĆ ◽  
P. RING
Keyword(s):  
Energy Density ◽  
Degrees Of Freedom ◽  
Nuclear Energy ◽  
Effective Interaction ◽  
Binding Energies ◽  
Large Set ◽  
Density Functionals ◽  
Heavy Nuclei ◽  
Interaction Terms ◽  
Range Dynamics

A class of relativistic nuclear energy density functionals is explored, in which only nucleon degrees of freedom are explicitly used in the construction of effective interaction terms. Short-distance correlations, as well as intermediate and long-range dynamics, are encoded in the nucleon-density dependence of the strength functionals of an effective interaction Lagrangian. The resulting phenomenological effective interaction, adjusted to experimental binding energies of a large set of axially deformed nuclei, together with a new separable pairing interaction adjusted to reproduce the pairing gap in nuclear matter calculated with the Gogny force, is applied in triaxial relativistic Hartree-Bogoliubov calculations of sequences of heavy nuclei: Th , U , Pu , Cm , Cf , Fm , and No .

scholarly journals GAMOW–TELLER SUM RULE IN RELATIVISTIC NUCLEAR MODELS

2006 ◽  
Vol 21 (12) ◽  
pp. 935-946 ◽  
Author(s):  
HARUKI KURASAWA ◽  
TOSHIO SUZUKI
Keyword(s):  
Degrees Of Freedom ◽  
Random Phase ◽  
Mean Field ◽  
Field Approximation ◽  
Point Of View ◽  
Mean Field Approximation ◽  
Sum Rule ◽  
Relativistic Mean Field ◽  
Relativistic Corrections ◽  
Gamow Teller

Relativistic corrections are investigated to the Gamow–Teller (GT) sum rule with respect to the difference between the β- and β+ transition strengths in nuclei. Since the sum rule requires the complete set of the nuclear states, the relativistic corrections come from the anti-nucleon degrees of freedom. In the relativistic mean field approximation, the total GT strengths carried by the nucleon sector is quenched by about 12% in nuclear matter, while by about 8% in finite nuclei, compared to the sum rule value. The coupling between the particle-hole states with the nucleon–antinucleon states is also discussed with the relativistic random phase approximation, where the divergence of the response function is renormalized with use of the counterterms in the Lagrangian. It is shown that the approximation to neglect the divergence, like the no-sea approximation extensively used so far, is unphysical, from the sum-rule point of view.

TEST OF NL-RA1 RELATIVISTIC EFFECTIVE INTERACTION FOR THE STRUCTURE OF DEFORMED AND SUPERHEAVY NUCLEI

2012 ◽  
Vol 21 (06) ◽  
pp. 1250055 ◽  
Author(s):  
M. RASHDAN
Keyword(s):  
Effective Interaction ◽  
Mean Field Theory ◽  
Mean Field ◽  
Superheavy Element ◽  
Decay Chain ◽  
Alpha Decay ◽  
Binding Energies ◽  
Superheavy Nuclei ◽  
Relativistic Mean Field ◽  
Relative Errors

The NL-RA1 effective interaction of the relativistic mean field theory is employed to study the structure of deformed and superheavy nuclei, using an axially deformed harmonic oscillator basis. It is found that a fair agreement with the experimental data is obtained for the binding energies (BE), deformation parameters and charge radii. Comparison with NL-Z2, NLSH and NL3 interactions show that NL-Z2 gives good binding but larger radii, while NL-SH gives good radii but larger binding. The NL-RA1 interaction is also tested for the new deformed superheavy element with Z≥98. Excellent agreement with the experimental binding is obtained, where the relative error in BEs of Cf, Fm, No, Rf, Sg and Ea (Z = 110) isotopes are found to be of the order ~0.1%. The NL3 predicted larger binding and larger relative errors ~0.2–0.5%. Furthermore, the experimental Q-values of the alpha-decay of the superheavy elements 270110, 288114 and 292116 are satisfactory reproduced by NL-RA1 interaction, where the agreement is much better than that predicted by the phenomenological mass FRDM model. Furthermore, the alpha-decay chain of element 294118 are also better reproduced by NL-RA1 interaction.

scholarly journals Relativistic mean field approximation to the analysis of16O(e,e′p)15Ndata at|Q2|<~0.4 (GeV/c)2

2001 ◽  
Vol 64 (2) ◽  
Author(s):  
J. M. Udías ◽  
J. A. Caballero ◽  
E. Moya de Guerra ◽  
Javier R. Vignote ◽  
A. Escuderos
Keyword(s):  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Relativistic Mean Field

scholarly journals IN-MEDIUM PROPERTIES OF KAONS IN A CHIRAL APPROACH

2008 ◽  
Vol 17 (09) ◽  
pp. 1895-1905
Author(s):  
YUE-LEI CUI ◽  
BAO-XI SUN
Keyword(s):  
Nuclear Matter ◽  
Effective Mass ◽  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Nuclear Density ◽  
Relativistic Mean Field ◽  
Self Energy ◽  
Sigma Term ◽  
Scattering Matrix Elements

The first order self-energy corrections of the kaon in the symmetric nuclear matter are calculated from kaon-nucleon scattering matrix elements using a chiral Lagrangian within the framework of relativistic mean field approximation. It shows that the effective mass and the potential of K+ meson are identical with those of K- meson in the nuclear matter, respectively. The effective mass of the kaon in the nuclear matter decreases with the nuclear density increasing, and is not relevant to the kaon-nucleon Sigma term. The kaon-nucleus potential is positive and increases with the nuclear density. Moreover, the influence of the resonance Λ(1405) on the K--nucleus potential due to the re-scattering term is discussed. Our results indicate the K- meson could not be bound in the nuclei even if the contribution of Λ(1405) resonance is considered.

scholarly journals 1/Nc EXPANSION FOR THE PARTITION FUNCTION IN FOUR-FERMION MODELS

1996 ◽  
Vol 11 (19) ◽  
pp. 1579-1587 ◽  
Author(s):  
A. BARDUCCI ◽  
R. CASALBUONI ◽  
M. MODUGNO ◽  
G. PETTINI ◽  
R. GATTO
Keyword(s):  
Partition Function ◽  
Low Temperatures ◽  
Degrees Of Freedom ◽  
Mean Field ◽  
Field Approximation ◽  
Functional Integral ◽  
Mean Field Approximation ◽  
Thermodynamical Potential ◽  
Low Mass ◽  
The Mean

We present a derivation of the bosonic contribution to the thermodynamical potential of four-fermion models by means of a 1/N c -expansion of the functional integral defining the partition function. This expansion turns out to be particularly useful in correcting the mean field approximation especially at low temperatures, where the relevant degrees of freedom are low-mass bosonic excitations (pseudo-Goldstones).

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