RECENT PROGRESS IN RELATIVISTIC MANY-BODY APPROACH

2006 ◽  
Vol 15 (07) ◽  
pp. 1447-1464 ◽  
Author(s):  
S. F. BAN ◽  
L. S. GENG ◽  
L. LIU ◽  
W. H. LONG ◽  
J. MENG ◽  
...  
Keyword(s):  
Nuclear Matter ◽  
Shell Model ◽  
Recent Progress ◽  
Many Body ◽  
Density Dependent ◽  
Hartree Fock ◽  
Peking University ◽  
Finite Nuclei

The recent progress of the relativistic many-body approach by the group at Peking University will be reviewed. In particular, the adiabatic and configuration-fixed constrained triaxial RMF approaches, triaxial RMF approach with time-odd components, a Shell-model-Like APproach (SLAP), a Reflection ASymmetric RMF (RAS-RMF) approach, and a new relativistic Hartree-Fock (RHF) approach with density-dependent σ, ω, ρ and π meson-nucleon couplings for finite nuclei and nuclear matter, will be highlighted.

scholarly journals Recent Progress in Quantum Hadrodynamics

1997 ◽  
Vol 06 (04) ◽  
pp. 515-631 ◽  
Author(s):  
Brian D. Serot ◽  
John Dirk Walecka
Keyword(s):  
Nuclear Matter ◽  
Lagrangian Density ◽  
Recent Progress ◽  
Body Problem ◽  
Transport Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Many Body ◽  
Relativistic Mean Field ◽  
Finite Nuclei

Quantum hadrodynamics (QHD) is a framework for describing the nuclear many-body problem as a relativistic system of baryons and mesons. Motivation is given for the utility of such an approach and for the importance of basing it on a local, Lorentz-invariant lagrangian density. Calculations of nuclear matter and finite nuclei in both renormalizable and nonrenormalizable, effective QHD models are discussed. Connections are made between the effective and renormalizable models, as well as between relativistic mean-field theory and more sophisticated treatments. Recent work in QHD involving nuclear structure, electroweak interactions in nuclei, relativistic transport theory, nuclear matter under extreme conditions, and the evaluation of loop diagrams is reviewed.

scholarly journals Limiting symmetry energy elements from empirical evidence

2017 ◽  
Vol 26 (05) ◽  
pp. 1750022 ◽  
Author(s):  
B. K. Agrawal ◽  
S. K. Samaddar ◽  
J. N. De ◽  
C. Mondal ◽  
Subhranil De
Keyword(s):  
Nuclear Matter ◽  
Symmetry Energy ◽  
Density Functional ◽  
Effective Interaction ◽  
Finite Range ◽  
Energy Density Functional ◽  
Density Dependent ◽  
Bulk Data ◽  
Energy Coefficient ◽  
Finite Nuclei

In the framework of an equation of state (EoS) constructed from a momentum and density-dependent finite-range two-body effective interaction, the quantitative magnitudes of the different symmetry elements of infinite nuclear matter are explored. The parameters of this interaction are determined from well-accepted characteristic constants associated with homogeneous nuclear matter. The symmetry energy coefficient [Formula: see text], its density slope [Formula: see text], the symmetry incompressibility [Formula: see text] as well as the density-dependent incompressibility [Formula: see text] evaluated with this EoS are seen to be in good harmony with those obtained from other diverse perspectives. The higher order symmetry energy coefficients [Formula: see text], etc., are seen to be not very significant in the domain of densities relevant to finite nuclei, but gradually build up at supra-normal densities. The analysis carried out with a Skyrme-inspired energy density functional (EDF) obtained with the same input values for the empirical bulk data associated with nuclear matter yields nearly the same results.

ELECTROMAGNETIC AND ISOVECTOR TERMS IN STANDARD RELATIVISTIC MEAN FIELD MODEL

2011 ◽  
Vol 20 (09) ◽  
pp. 1983-2010 ◽  
Author(s):  
A. SULAKSONO
Keyword(s):  
Nuclear Matter ◽  
Field Model ◽  
Local Density ◽  
Mean Field ◽  
Binding Energies ◽  
Particle Spectrum ◽  
Mean Field Model ◽  
Density Dependent ◽  
Relativistic Mean Field ◽  
Finite Nuclei

The effects of auxiliary contribution in forms of electromagnetic tensors and relativistic electromagnetic exchange in local density approximation as well as δ meson and isovector density-dependent nonlinear terms in standard relativistic mean field model constrained by nuclear matter stability criteria in some selected finite nuclei and nuclear matter properties are studied. It is found that in the case of finite nuclei, the electromagnetic tensors play the most dominant part compared to other auxiliary terms. Due to the presence of electromagnetic tensors, the binding energies prediction of the model can be improved quite significantly. However, these terms do not yield demanded effects for rms radii prediction. In the case of nuclear matter properties, the isovector density-dependent nonlinear term plays the most crucial role in providing predictions which are quite compatible with experimental constraints. We have also shown these auxiliary contributions are indeed unable to improve the single particle spectrum results of the model.

Saturation properties of infinite nuclear matter via hartree-fock calculations on finite nuclei

1979 ◽  
Vol 317 (2-3) ◽  
pp. 447-459 ◽  
Author(s):  
J.M. Pearson ◽  
B. Rouben ◽  
G. Saunier ◽  
F. Brut
Keyword(s):  
Nuclear Matter ◽  
Hartree Fock ◽  
Saturation Properties ◽  
Finite Nuclei

scholarly journals $n\bar{n}$ CONVERSION IN FINITE NUCLEI

2011 ◽  
Vol 20 (05) ◽  
pp. 1203-1212 ◽  
Author(s):  
V. I. NAZARUK
Keyword(s):  
Nuclear Matter ◽  
Shell Model ◽  
Theoretical Approach ◽  
Single Particle ◽  
Finite Time ◽  
Bound State ◽  
Time Interval ◽  
Dynamical Process ◽  
Finite Time Interval ◽  
Finite Nuclei

The [Formula: see text] transitions for the neutrons in bound state are studied. The |in〉-state of nucleus is described by single-particle shell model. The dynamical process part is calculated by means of field-theoretical approach with finite time interval. The results are the same as for nuclear matter.

scholarly journals RELATIVISTIC EFFECTS IN NUCLEAR MATTER AND NUCLEI

2010 ◽  
Vol 19 (11) ◽  
pp. 2077-2122 ◽  
Author(s):  
ERIC VAN DALEN ◽  
HERBERT MÜTHER
Keyword(s):  
Nuclear Matter ◽  
Relativistic Effects ◽  
Radioactive Beam ◽  
Many Body ◽  
Protons And Neutrons ◽  
The Status ◽  
Nuclear Systems ◽  
Experimental Side ◽  
Finite Nuclei ◽  
New Generation

The status of relativistic nuclear many-body calculations of nuclear systems to be built up in terms of protons and neutrons is reviewed. In detail, relativistic effects on several aspects of nuclear matter such as the effective mass, saturation mechanism, and the symmetry energy are considered. This review will especially focus on isospin asymmetric issues, since these aspects are of high interest in astrophysical and nuclear structure studies. Furthermore, from the experimental side these aspects are experiencing an additional boost from a new generation of radioactive beam facilities, e.g., the future GSI facility FAIR in Germany or SPIRAL2 at GANIL/France. Finally, the prospects of studying finite nuclei in microscopic calculations which are based on realistic NN interactions by including relativistic effects in calculations of low momentum interactions are discussed.

Renormalized Brueckner-Hartree-Fock and density dependent Hartree-Fock theories of finite nuclei

1974 ◽  
Vol 10 (6) ◽  
pp. 2607-2612 ◽  
Author(s):  
K. T. R. Davies ◽  
R. J. McCarthy ◽  
J. W. Negele ◽  
P. U. Sauer
Keyword(s):  
Density Dependent ◽  
Hartree Fock ◽  
Finite Nuclei

scholarly journals A nuclear matter calculation with the tensor-optimized Fermi sphere method with central interaction

2019 ◽  
Vol 2019 (11) ◽  
Author(s):  
T Yamada ◽  
T Myo ◽  
H Toki ◽  
H Horiuchi ◽  
K Ikeda
Keyword(s):  
Correlation Function ◽  
Nuclear Matter ◽  
Matter Wave ◽  
Many Body ◽  
Expansion Theorem ◽  
Fermi Sphere ◽  
Hartree Fock ◽  
Nuclear Matter Density ◽  
Series Type ◽  
The Many

Abstract The tensor-optimized Fermi sphere (TOFS) theory is applied first for the study of the property of nuclear matter using the Argonne V4$^\prime$$NN$ potential. In the TOFS theory, the correlated nuclear matter wave function is taken to be a power-series type of the correlation function $F$, where $F$ can induce central, spin–isospin, tensor, etc. correlations. This expression has been ensured by a linked cluster expansion theorem established in the TOFS theory. We take into account the contributions from all the many-body terms arising from the product of the nuclear matter Hamiltonian $\mathcal{H}$ and $F$. The correlation function is optimally determined in the variation of the total energy of nuclear matter. It is found that the density dependence of the energy per particle in nuclear matter is reasonably reproduced up to the nuclear matter density $\rho \simeq 0.20$ fm$^{-3}$ in the present numerical calculation, in comparison with other methods such as the Brueckner–Hartree–Fock approach.

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