A relativistic approach to the equation of state of asymmetric nuclear matter

Zaryouni, S.; Moshfegh, H. R.

doi:10.1140/epja/i2010-10983-1

Cited by 22 publications

(7 citation statements)

References 61 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The LOCV method has been also developed for calculating the various thermodynamic properties of hot and frozen homogeneous fermionic fluids, such as symmetric and asymmetric nuclear matter [37], β-stable matter [38], helium-3 [39], and electron fluid [40], with different realistic interactions. Recently, the LOCV formalism was developed for covering the relativistic Hamiltonian with a potential that has been fitted relativistically to nucleon-nucleon phase shifts [41]. The LOCV calculation is a fully self-consistent technique with state-dependent correlation functions.…”

Section: The Variational Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Correlations in nuclear matter

Baldo

Moshfegh

2012

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

We analyze the nuclear matter correlation properties in terms of the pair correlation function. To this aim we systematically compare the results for the variational method in the lowest-order constrained variational (LOCV) approximation and for the Bruekner-Hartree-Fock (BHF) scheme. A formal link between the Jastrow correlation factor of LOCV and the defect function (DF) of BHF is established and it is shown under which conditions and approximations the two approaches are equivalent. From the numerical comparison it turns out that the two correlation functions are quite close, which indicates in particular that the DF is approximately local and momentum independent. The equations of state (EOS) of nuclear matter in the two approaches are also compared. It is found that once the three-body forces (TBF) are introduced, the two EOS are fairly close, while the agreement between the correlation functions holds with or without TBF.

show abstract

Section: The Variational Methodsmentioning

confidence: 99%

“…In this equation, V (1, 2) is a phenomenological nucleon-nucleon potential such as Reid type, UV 14 , and AV 18 . At this stage, we can minimize the twobody energy with respect to the variations of the correlation functions [33,34,36] but subject to the normalization constraint [33][34][35][36][37][38][39][40][41]:…”

Section: The Variational Methodsmentioning

confidence: 99%

Correlations in nuclear matter

Baldo

Moshfegh

2012

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

show abstract

“…Later on, this approach was extended to finite temperature [47] and also calculations of the EoS of asymmetric nuclear matter [48], pure neutron matter, and β-stable matter [49,50] were carried out within this framework by using more sophisticated potentials. 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].…”

Section: Introductionmentioning

confidence: 99%

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

Khanmohamadi¹,

Moshfegh²,

Tehrani³

2020

Phys. Rev. D

View full text Add to dashboard Cite

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.

show abstract

“…The reason is that the EOS of hadron matter governs the star in the hadron branch and as is clear from Eqs. ( 31), ( 32) and (33), y R , which depends on the profile of the star, takes the same value, so k 2 and hence Λ, from Eqs ( 30) and ( 29) will have a unique value for the same hadron interaction. In these cases, the HSs become much less compact, and tidal defromability takes larger values in comparison with the cases in which the mass of 1.4M ⊙ occur on the quark branch.…”

Section: Tidal Deformabilitymentioning

confidence: 99%

“…This approach is extended in such a way to enable one to calculate the properties of asymmetric nuclear matter, neutron matter and beta stable matter EOSs at both zero and finite temperatures by using more sophisticated potentials [29][30][31][32]. Besides this, the thermodynamic properties of nuclear matter at both zero and finite temperatures are calculated by considering relativistic corrections in this formalism [33,34]. It is well known that the bare two-body nucleonnucleon (2BF) interactions cannot reproduce the saturation properties of nuclear matter.…”

Section: Introductionmentioning

confidence: 99%

Structure and tidal deformability of a hybrid star within the framework of the field correlator method

Khanmohamadi,

Moshfegh,

Tehrani

2020

Preprint

Self Cite

View full text Add to dashboard Cite

The structure of hybrid stars within the nonperturbative framework of the field correlator method, extended to zero-temperature limit as a quark model, has been studied. For the hadronic sector, we have used the lowest-order constraint variational method by employing AV 18 two-body nucleon-nucleon interaction supplemented by the phenomenological Urbana-type three-body force. For an adapted value of the gluon condensate, G 2 = 0.006 GeV 4 , which gives the critical temperature of about T c ∼ 170 MeV, stable hybrid stars with a maximum mass of 2.04M ⊙ are predicted.The stability of hybrid star has been investigated for a wide range of gluon condensate value, G 2 , and quark-antiquark potential, V 1 . A hybrid equation of state fulfills the constraints on tidal deformability and hence on the radii of the stars, extracted from the binary GW170817. Moreover, tidal deformability for different chirp masses and different binary mass ratios of hybrid stars have been studied. The mass-radius relation satisfies the new constraint obtained from the neutron star interior composition explorer (NICER). A comprehensive analysis on the structure of a hybrid star and also its compactness, tidal Love number, and tidal deformability has been conducted for several parameter sets of the quark equation of state. The influence of different crustal equations of state on the mentioned quantities has been studied.Our calculations suggest the value of quark-antiquark potential, V 1 , to be around 0.08 GeV. The results achieved in this study are in strong concurrence with the other calculations reported on this subject.

show abstract

A relativistic approach to the equation of state of asymmetric nuclear matter

Cited by 22 publications

References 61 publications

Correlations in nuclear matter

Correlations in nuclear matter

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

Structure and tidal deformability of a hybrid star within the framework of the field correlator method

Contact Info

Product

Resources

About