The role of three-body forces in nuclear symmetry energy and symmetry free energy

Goudarzi, S.; Moshfegh, H. R.; Haensel, P.

doi:10.1016/j.nuclphysa.2017.10.007

Cited by 26 publications

(16 citation statements)

References 75 publications

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“…Moreover, relativistic corrections have been considered in calculating thermodynamic properties of nuclear matter within this model at both zero and finite temperatures [51,52]. Recently, this technique has been extended by adding TBF to this formalism [53,54], and has been used to study the structure of the NS [53] as well as proto-neutron star [54]. This model is successful in reproducing the correct saturation point parameters such as E sym (ρ 0 , L and K sym ) by using a revised version of TBF which is based on an isospin-dependent parametrization of coefficient in the UIX forces.…”

Section: Introductionmentioning

confidence: 99%

Hybrid star within the framework of a lowest-order constraint variational method

Khanmohamadi¹,

Moshfegh²,

Tehrani³

2020

Phys. Rev. D

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The hadron-quark phase transition in the core of heavy neutron star has been stuided. For the hadronic sector, we have used the lowest order constraint variational (LOCV) method by employing AV18, AV14, U V14 as well as Reid 68 two-body nucleon-nucleon forces (2BF) supplemented by the phenomenological Urbana-type (UIX) three-body force (TBF). We have adopted the MIT bag model and three-flavor version of Nambu, Jona, Lasinio (NJL) model to describe the quark phase. The Equation of State (EoS) of hybrid star is presented by combining two EoS's of hadronic sector and quark sector of star which are derived from independent models or theories. The hadronquark transition is constructed by considering a sharp phase transition a.k.n. Maxwell construction. The structure of hybrid star is calculated and reported by solving Tolman-Oppenheimer-Volkoff (TOV) equations. Under MIT bag model, stable hybrid star with pure quark phase, as well as hadron-quark mixture in the core is predicted. Where as, under NJL model, hybrid star in the best case scenario, with a mixed but not pure quark phase in the core is predictable. When the AV18 potential supplemented by the TBF is combined with the MIT bag model, the maximum mass of 1.50M⊙(1.945M⊙) would be found for a stable hybrid star with pure quark (mixed phase) core; while the maximum mass of 1.998M⊙ would be calculated under NJL model. A comprehensive analysis on the structure has been conducted for various EoS's of the hadron sector and several parameter sets of the quark EoS's. The results achieved in this study are in strong concurrence with the other calculations reported on this subject.

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Section: Introductionmentioning

confidence: 99%

Hybrid star within the framework of a lowest-order constraint variational method

Khanmohamadi¹,

Moshfegh²,

Tehrani³

2020

Phys. Rev. D

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“…For the three-body potential we used the Urbana model (UIX) three nucleon interaction which is written as following [31,32] =…”

Section: S S S T T T T T Tmentioning

confidence: 99%

“…The second is the AV8′ nucleon-nucleon interaction [31]. For the three-body interaction, we used the Urbana IX model (UIX) interaction [32]. Moreover, the convergence behaviour of the USM calculations was examined by incrementally extrapolating the results for N20 to N=30 for both nuclei.…”

Section: Introductionmentioning

confidence: 99%

Unitary scheme model calculations of the ground and excited state characteristics of ³H and ⁴He

Doma

El-Gendy

2018

J. Phys. Commun.

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The ground and excited states of the 3 H and 4 He nuclei are studied in the framework of grouptheoretical methods. Basis functions of the unitary scheme model corresponding to even numbers of quanta of excitation in the range 0N20 are constructed for the even-parity states of these two nuclei, and bases with 1N19 are constructed for the odd-parity states of the 4 He nucleus. The ground-state and first-excited-state energies and wave functions, the ground S-, P-and D-state probabilities, the root-mean-square radius and the magnetic dipole moment of triton are calculated. Furthermore, for the 4 He nucleus, the spectrum and the wave functions, the ground S-, P-and D-state probabilities, the root-mean-square radius and the total integral cross section of the dipole electric transition accompanying the photoabsorption of γ quanta by this nucleus are calculated. The GPT and AV8′ two-body interactions and the UIX three-nucleon interaction are used in these investigations. Moreover, the convergence of the calculations is examined by incrementally extrapolating the nuclear characteristics calculated for N20 to N=30 for both nuclei.

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“…This situation motivated the authors of Ref. [4] to a further work on the 3BF inclusion in LOCV and finally they came up with the modified extended version of the LOCV method (3BF (M) hereafter) that restricts the symmetry energy and its slope parameter around 34 and 77 MeV, respectively, at saturation densities which are well within the standard range [7]. The modification of 3BF (based on the Urbana IX (UIX) 3BF model) leading to the 3BF (M) model used in the present paper does not alter the values of the saturation density, binding energy, and incompressibility of symmetric nuclear matter, calculated using the extended version of the LOCV method: they are quite the same as in Refs.…”

Section: Introductionmentioning

confidence: 99%

“…We also apply the exact numerical method in the Murca-n case, which was calculated in paper I using the triangle approximation to check the precision of the triangle approximation. Second, we analyze the outcomes of the modified extended version of the LOCV 3BF-affected correlation functions [7] on both pand n-branch correlation factors and neutrino emissivities. We therefore present not only the Murca-p emissivity, but also an updated version of Murca-n results.…”

Section: Introductionmentioning

confidence: 99%

Role of nuclear correlations and kinematic effects on neutrino emission from the modified Urca processes

2018

Self Cite

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The neutrino emissivity from the proton branch of the modified Urca process is calculated. Angular integrations in momentum space are performed numerically without recourse to widely used, but unjustified in this specific case, approximations. To deal with nuclear correlation effects, the independent-pair approximation for nucleon quasiparticles is assumed. The realistic nuclear correlation effects are extracted from a modified extended version of the lowest-order constrained variational method in asymmetric nuclear matter in β equilibrium with electrons and muons that allows for three-body nucleon interactions and fits all semiempirical saturation parameters of nuclear matter quite well. Two-body nucleon interaction is modeled by a realistic Argonne AV18 potential and the three-body potential used is a phenomenological Urbana UIX, generalizing parametrization of its component strengths in a manner suitable for application in asymmetric nuclear matter. Limiting to the two-body forces only, we find that, at fixed temperature, neutrino emissivity is a (weakly) decreasing function of density. This is also the case for the neutron branch of the modified Urca process analyzed by us in a recent paper. Inclusion of the modified three-body force effects changes this behavior. Quantitatively the value of the emissivity at each density increases and qualitatively the overall effect of the modified three-body force addition is such that dependence on density becomes weak in a density range from n 0 to 3.5n 0. An updated version of neutron branch results obtained using our modified three-body force model is also presented. This is done using exact treatment of the angular integrations of nuclear transition rate in momentum space.

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The role of three-body forces in nuclear symmetry energy and symmetry free energy

Cited by 26 publications

References 75 publications

Hybrid star within the framework of a lowest-order constraint variational method

Hybrid star within the framework of a lowest-order constraint variational method

Unitary scheme model calculations of the ground and excited state characteristics of ³H and ⁴He

Role of nuclear correlations and kinematic effects on neutrino emission from the modified Urca processes

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The role of three-body forces in nuclear symmetry energy and symmetry free energy

Cited by 26 publications

References 75 publications

Hybrid star within the framework of a lowest-order constraint variational method

Hybrid star within the framework of a lowest-order constraint variational method

Unitary scheme model calculations of the ground and excited state characteristics of 3H and 4He

Role of nuclear correlations and kinematic effects on neutrino emission from the modified Urca processes

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Unitary scheme model calculations of the ground and excited state characteristics of ³H and ⁴He