Equation of state of isospin asymmetric nuclear matter including relativistic random-phase approximation-type correlations

Fröhlich, Norbert; Baier, H.; Bentz, Wolfgang

doi:10.1103/physrevc.57.3447

Cited by 10 publications

(5 citation statements)

References 23 publications

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“…Skewness is defined as J = 27ρ 3 d 3 E A /dρ 3 at ρ = ρ 0 , where E A is the energy per nucleon in isospin symmetric nuclear matter, ρ is the baryon density, and ρ 0 is the saturation density (ρ 0 = 0.15 fm −3 ). This physical quantity has been receiving interest in connection to phenomenological applications of the liquid drop model to heavy nuclei [24], and relativistic approaches to nuclear matter [25,26]. Recently, empirical values have been extracted in Refs.…”

Section: Introductionmentioning

confidence: 99%

Skewness of nuclear matter and three-particle correlations

Bentz

Cloët

2019

Phys. Rev. C

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We present a study of the skewness of nuclear matter, which is proportional to the third derivative of the energy per nucleon with respect to the baryon density at the saturation point, in the framework of the Landau-Migdal theory. We derive an exact relation between the skewness, the nucleon effective mass, and two-particle and three-particle interaction parameters. We also present qualitative estimates, which indicate that three-particle correlations play an important role for the skewness.

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Section: Introductionmentioning

confidence: 99%

Skewness of nuclear matter and three-particle correlations

Bentz

Cloët

2019

Phys. Rev. C

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“…On a microscopic basis the EOS of asymmetric nuclear matter has been studied within the variational approach [3,4,5] as well as relativistic [6,7,8,9,10,11] and non-relativistic [12] Brueckner-Bethe-Goldstone (BBG) theory. Within the Brueckner-Hartree-Fock (BHF) approximation to the BBG theory a systematic study of isospin effects on the EOS of asymmetric nuclear matter has been carried out in Ref.…”

Section: Introductionmentioning

confidence: 99%

Asymmetric nuclear matter from an extended Brueckner-Hartree-Fock approach

1999

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The properties of isospin-asymmetric nuclear matter have been investigated in the framework of the extended Brueckner-Hartree-Fock approximation at zero temperature. Selfconsistent calculations using the Argonne V 14 interaction are reported for several asymmetry parameters β = N −Z A ranging from symmetric nuclear matter to pure neutron matter. The binding energy per nucleon fulfills the β 2 law in the whole asymmetry range. The symmetry energy is calculated for different densities and discussed in comparison with other predictions. At the saturation point it is in fairly good agreement with the empirical value. The present approximation, based on the Landau definition of quasiparticle energy, is investigated in terms of the Hugenholtz-Van Hove theorem, which is proved to be fulfilled with a good accuracy at various asymmetries. The isospin dependence of the single-particle properties is discussed, including mean field, effective mass, and mean free path of neutrons and protons. The isospin effects in nuclear physics and nuclear astrophysics are briefly discussed.

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“…When studying the properties of a nucleus, we should distinguish between protons and neutrons, namely, the isospin effect in a nucleus should be taken into account. This is important for studying the nuclear stopping properties, nucleon-nucleon cross sections and the nuclear equation of state, etc [1][2][3]. The symmetry potential is another very important physical quantity, which is important for the study of nuclear physics and astrophysics [4,5], such as supernova explosions, the giant coupling effect of finite nuclei, and neutron star cooling.…”

Section: Introductionmentioning

confidence: 99%