Nuclear saturation energy in effective chiral model within Fermi liquid theory approach

2020 ◽  
Vol 98 (12) ◽  
pp. 1133-1143
Author(s):  
Kausik Pal
Keyword(s):  
Nuclear Matter ◽  
Fermi Liquid ◽  
Chemical Potential ◽  
Mean Field ◽  
Chiral Model ◽  
Theory Approach ◽  
Perturbative Calculation ◽  
Effective Lagrangian ◽  
Dense Nuclear Matter ◽  
First Sound

We calculate the relativistic Fermi liquid parameters (RFLPs) for the description of the nuclear saturation energy using a chiral effective Lagrangian. Analytical expressions of Fermi liquid parameters (FLPs) are presented both for the direct and exchange contributions by retaining the meson masses. We present a comparative study of perturbative calculation with mean field results. The FLPs, so determined, are then used to calculate the chemical potential, energy densities, and binding energy for dense nuclear matter interacting via the exchange of σ, ω, and π mesons. In addition, we also estimate bulk quantities like incompressibility and first sound velocity in terms of RFLPs for dense nuclear matter.

Properties of cold dense nuclear matter based on a developed chiral perturbation theory

2015 ◽  
Vol 24 (08) ◽  
pp. 1550065
Author(s):  
Qingwu Wang ◽  
Xiaoya Li ◽  
Xiaofu Lü
Keyword(s):  
Perturbation Theory ◽  
Nuclear Matter ◽  
Chiral Perturbation Theory ◽  
Chemical Potential ◽  
Baryon Number ◽  
Number Density ◽  
Resonance Contribution ◽  
Chiral Perturbation ◽  
Dense Nuclear Matter ◽  
Natural Way

A developed effective chiral Lagrangian approach is used to study the cold dense nuclear matter. Improved calculation of baryon number density as a function of chemical potential is given. The resonance appeared in a natural way as chemical potential is getting larger. Calculations of susceptibility and pressure including the resonance contribution are also given.

scholarly journals Pionic contribution to relativistic Fermi liquid parameters

2010 ◽  
Vol 88 (8) ◽  
pp. 585-590 ◽  
Author(s):  
Kausik Pal
Keyword(s):  
Fermi Liquid ◽  
Chemical Potential ◽  
Fermi Liquid Theory ◽  
Liquid Theory ◽  
Effective Lagrangian ◽  
Loop Ring ◽  
Relativistic Fermi

We calculate pionic contribution to the relativistic Fermi liquid parameters (RFLPs) using a chiral effective Lagrangian. The RFLPs so determined are then used to calculate chemical potential, exchange and nuclear symmetry energies due to πN interaction. We also evaluate two loop ring diagrams involving σ, ω, and π meson exchanges and compare results with what one obtains from the relativistic Fermi liquid theory (RFLT).

scholarly journals THE MODIFICATION OF THE SCALAR FIELD IN DENSE NUCLEAR MATTER

2010 ◽  
Vol 19 (04) ◽  
pp. 774-780
Author(s):  
JACEK ROŻYNEK
Keyword(s):  
Structure Function ◽  
Nuclear Matter ◽  
Mean Field ◽  
Nuclear Interaction ◽  
Nucleon Structure ◽  
Saturation Point ◽  
Relativistic Mean Field ◽  
Convolution Model ◽  
Dense Nuclear Matter ◽  
Nucleon Structure Function

We show the possible evolution of the nuclear deep inelastic structure function with nuclear density ρ. The nucleon deep inelastic structure function represents distribution of quarks as a function of Björken variable x, which measures the longitudinal fraction of the momentum carried by them during deep inelastic scattering (DIS) of electrons on nuclear targets. The quark localization is proportional to 1/x and this relation introduces the dependence of the nucleon structure function on the nuclear medium. Starting with small density and negative pressure in nuclear matter (NM), we have relatively large inter-nucleon distances and increasing role of nuclear interaction mediated by virtual mesons. When the density approaches the saturation point, ρ = ρ0, we have no longer separate mesons and nucleons but eventually modified nucleon structure function (SF) in the medium. The ratio of the nuclear to the nucleon SF measured at the saturation point is well known as the "EMC effect". For larger density, ρ > ρ0, when the localization of quarks is smaller than 0.3 fm, the nucleons overlap. We argue that nucleon mass should start to decrease in order to satisfy the momentum sum rule (MSR) of DIS. These modifications of the nucleon structure function are calculated in the frame of the nuclear relativistic mean field (RMF) convolution model. The correction to the Fermi energy from a term proportional to the pressure is very important and its inclusion modifies the equation of state (EoS) for the nuclear matter.

scholarly journals THE CJT CALCULATION IN STUDYING NUCLEAR MATTER BEYOND MEAN FIELD APPROXIMATION

2008 ◽  
Vol 23 (21) ◽  
pp. 1769-1780 ◽  
Author(s):  
SONG SHU ◽  
JIA-RONG LI
Keyword(s):  
Field Theory ◽  
Nuclear Matter ◽  
Chemical Potential ◽  
Mean Field Theory ◽  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Medium Effects ◽  
Effective Masses ◽  
Walecka Model

We have introduced the Cornwall–Jackiw–Tomboulis (CJT) resummation scheme in studying nuclear matter. Based on the CJT formalism and using Walecka model, we have derived a set of coupled Dyson equations of nucleons and mesons. Neglecting the medium effects of the mesons, the usual mean field theory (MFT) results can be obtained. The beyond MFT calculations have been performed by thermodynamic consistently determining the meson effective masses and solving the coupled gap equations for nucleons and mesons together. The numerical results for the nucleon and meson effective masses at finite temperature and chemical potential in nuclear matter are discussed.

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