Neutron–proton effective mass splitting and thermal evolution in neutron-rich matter

Behera, Banarji; Routray, T. R.; Tripathy, S. K.

doi:10.1088/0954-3899/38/11/115104

Cited by 31 publications

(59 citation statements)

References 68 publications

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“…In isospin asymmetric matter, it is the difference of single-particle potentials for neutrons and protons that is responsible for various isospin-dependent phenomena. Thus, instead of studying the single-nucleon potentials, interesting features can be revealed more easily by examining individually the isoscalar potential U 0 ≈ (U n + U p )/2 (28) and the symmetry (isovector) potential…”

Section: Symmetry (Isovector or Lane) Potentials Predicted By Nuclearmentioning

confidence: 99%

“…This is a meaningful question as it has been known that the DBHF predictions depend strongly on approximation schemes and techniques used to determine the Lorentz and the isovector structure of the nucleon self-energy [58]. Figure 8. Left: Comparisons of symmetry potentials at saturation density as a function of momentum k predicted using (1) a phenomenological model with two different forms of the isospin-dependent finite-range interaction by Behera et al [28], (2) the extended BHF calculations by Zuo et al [59], (3) the DBHF calculations by van Dalen et al [58] and (4) the DBHF calculations by Sammarruca et al [127], Modified from a figure in ref. [28].…”

Section: Symmetry (Isovector or Lane) Potentials Predicted By Nuclearmentioning

confidence: 99%

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Nucleon effective masses in neutron-rich matter

Li¹,

Cai²,

Chen³

et al. 2018

Progress in Particle and Nuclear Physics

185

114

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Various kinds of isovector nucleon effective masses are used in the literature to characterize the momentum/energy dependence of the nucleon symmetry potential or self-energy due to the space/time non-locality of the underlying isovector strong interaction in neutron-rich nucleonic matter. The multifaceted studies on nucleon isovector effective masses are multi-disciplinary in nature. Besides structures, masses and low-lying excited states of nuclei as well as nuclear reactions, studies of the isospin dependence of short-range correlations in nuclei from scatterings of high-energy electrons and protons on heavy nuclei also help understand nucleon effective masses especially the so-called E-mass in neutron-rich matter. A thorough understanding of all kinds of nucleon effective masses has multiple impacts on many interesting issues in both nuclear physics and astrophysics. Indeed, essentially all microscopic many-body theories and phenomenological models with various nuclear forces available in the literature have been used to calculate single-nucleon potentials and the associated nucleon effective masses in neutron-rich matter. There are also fundamental principles connecting different aspects and impacts of isovector strong interactions. In particular, the Hugenholtz-Van Hove theorem connects analytically nuclear symmetry energy with both isoscalar and isovector nucleon effective masses as well as their own momentum dependences. It also reveals how the isospin-quartic term in the equation of state of neutron-rich matter depends on the high-order momentum-derivatives of both isoscalar and isovector nucleon potentials. The Migdal-Luttinger theorem facilitates the extraction of nucleon E-mass and its isospin dependence from experimentally constrained single-nucleon momentum distributions. The momentum/energy dependence of the symmetry potential and the corresponding neutron-proton effective mass splitting also affect transport properties and the liquid-gas phase transition in neutron-rich matter. Moreover, they influence the dynamics and isospin-sensitive observables of heavy-ion collisions through both the Vlasov term and the collision integrals of the Boltzmann-Uehling-Uhlenbeck transport equation. We review here some of the significant progresses made in recent years by the nuclear physics community in resolving some of the hotly debated and longstanding issues regarding nucleon effective masses especially in dense neutron-rich matter. We also point out some of the remaining key issues requiring further investigations in the era of high precision experiments using advanced rare isotope beams. Nucleon effective masses in non-relativistic modelsWe focus on non-relativistic nucleon effective masses or the ones derived from the Schrödinger equivalent singleparticle potential in relativistic models. The k-mass M * ,k J and E-mass M * ,E J of a nucleon J = n/p can be obtained from the momentum and energy dependence of the single-nucleon potential U J (ρ, δ, k, E) in nucleonic matter of density ρ and isospin asymmetry δ...

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Section: Symmetry (Isovector or Lane) Potentials Predicted By Nuclearmentioning

confidence: 99%

Section: Symmetry (Isovector or Lane) Potentials Predicted By Nuclearmentioning

confidence: 99%

Nucleon effective masses in neutron-rich matter

Li¹,

Cai²,

Chen³

et al. 2018

Progress in Particle and Nuclear Physics

185

114

View full text Add to dashboard Cite

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“…The finite range effective interaction (SEI) thus constructed in the simplest form containing a single finite range term is given as, [16,17] and for Yukawa form in Refs. [18,19]. The complete study of ANM requires the knowledge of altogether nine parameters, namely, b, γ, α, ε l ex , ε ul ex , ε l γ , ε ul γ , ε l 0 and ε ul 0 .…”

Section: Formalismmentioning

confidence: 99%

“…With the knowledge of the two parameters α and ε ex determined from the momentum dependence of isoscalar mean field at normal density ρ 0 , the complete study of SNM can be performed for a given γ if one assumes only the standard NM values of ρ 0 , e(ρ 0 ) and m. To extend the study to ANM, one needs to know how ε ex , ε γ and ε 0 split into like and unlike isospin channels. The splitting of ε ex into ε l ex and ε ul ex is decided using the physical constraint resulting from the studies of the thermal evolution of NM properties [19]. This study predicts a critical value of the splitting of ε ex for which the thermal evolution of NM properties as well as the entropy per particle in PNM does not exceed that of SNM.…”

Section: Formalismmentioning

confidence: 99%

Properties of nuclear matter and finite nuclei with finite range simple effective interaction

Routray

Viñas

Centelles

et al. 2016

EPJ Web of Conferences

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The nuclear mean field as a function of momentum and density is the quantity of crucial relevance in the study of nuclear matter and the equation of state can be obtained from it at momentum equals to Fermi momentum. In order to simulate the momentum dependence of the mean field, the effective interaction is constructed in the simplest form and the parameters are fixed with proper care on the momentum dependent aspects of the mean fields in different kinds of nuclear matter. By fixing the parameters of the interaction, as discussed in the work, microscopic trends of nuclear matter properties and predictions in finite nuclei, not less than any other conventional interaction, could be obtained. *

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“…The neutron-proton effective mass splitting has been studied for a long time [20][21][22][23][24] and recently becomes again a hot topic [25][26][27][28][29][30][31][32][33][34]. It is noteworthy that in relativistic models one needs to calculate the Lorentz mass so that it can be compared with that from the nonrelativistic interactions.…”

Section: Introductionmentioning

confidence: 99%

Thermal properties of asymmetric nuclear matter with an improved isospin- and momentum-dependent interaction

Chen

2015

Phys. Rev. C

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Thermal properties of asymmetric nuclear matter, including the temperature dependence of the symmetry energy, single-particle properties, and differential isospin fractionation, are investigated with different neutron-proton effective mass splittings using an improved isospin-and momentumdependent interaction. In this improved interaction, the momentum-dependence of the isoscalar single-particle potential at saturation density is well fitted to that extracted from optical model analyses of proton-nucleus scattering data up to nucleon kinetic energy of 1 GeV, and the isovector properties, i.e., the slope of the nuclear symmetry energy, the momentum-dependence of the symmetry potential, and the symmetry energy at saturation density can be flexibly adjusted via three parameters x, y, and z, respectively. Our results indicate that the nucleon phase-space distribution in equilibrium, the temperature dependence of the symmetry energy, and the differential isospin fractionation can be significantly affected by the isospin splitting of nucleon effective mass.

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Neutron–proton effective mass splitting and thermal evolution in neutron-rich matter

Cited by 31 publications

References 68 publications

Nucleon effective masses in neutron-rich matter

Nucleon effective masses in neutron-rich matter

Properties of nuclear matter and finite nuclei with finite range simple effective interaction

Thermal properties of asymmetric nuclear matter with an improved isospin- and momentum-dependent interaction

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