Many-body theory of nuclear matter

Jeukenne, J.P.; Lejeune, Aude; Mahaux, C.

doi:10.1016/0370-1573(76)90017-x

Cited by 791 publications

(530 citation statements)

References 142 publications

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“…The latter is, for the same density, sizeably larger than the corresponding value in nuclear matter. The peak originates from the coupling to the so-called core-polarisation states [14], which can suddenly be excited above the Fermi level. The height of the peak seems to be somewhat smaller than in nuclear matter.…”

Section: Neutron Matter Mean Field and Effective Massmentioning

confidence: 99%

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Neutron matter properties in an extended Brueckner approach

Deneye

Lejeune

1987

Z. Physik A - Atomic Nuclei

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Neutron matter properties are calculated both at zero and finite temperature within an extended Brueckner approach using the Paris potential. The binding energy turns out to be very close to the one calculated variationally with the Urbana v14 potential. Particular emphasis is put on the symmetry energy, on the isospin dependence of the mean field and on the effective mass. As an illustration, the masses of neutron stars are calculated. 21.65. +f PACS: IntroductionA great deal of interest is currently devoted to the nuclear matter equation of state. The present situation is however rather confuse. To describe it very shortly, conventional analysis of giant monopole in nuclei [1,2], early analysis of heavy-ion collisions neglecting effective mass effects [3,4] and microscopic calculations based on potential models, be them performed in a variational [5] or in a (nonrelativistic [6] or relativistic [7]) perturbative scheme, seem to point to a so-called stiff nuclear matter equation of state, i.e. a sharp increase of the binding energy per particle between P0 and ,-~4po (P0 =normal nuclear matter equilibrium density). On the other hand, reanalysis of nuclear properties in the spirit of the Landau sum rules for Fermi liquids [8], and recent calculations on supernovae explosions [9] seem, on the contrary, to suggest that the equation of state would be much softer. Finally, the masses of known neutron stars favour [10] a stiff nuclear matter equation of state. The last considerations involve asymmetric nuclear matter, for which the theoretical investigations are much less numerous in comparison with the symmetric case. In fact, for purely neutronic matter, there is practically only one very sophisticated microscopic * Work supported by the NATO Grant 025.81 calculation [5], based on the variational method. Here, we want to study the same system by a detailed Brueckner type approach, both at zero and at low temperature, extending so our previous investigations of symmetric nuclear matter [6]. Actually, our purpose is fourfold. First, we want to calculate the binding energy of neutron matter, in order to check whether the agreement between variational and perturbative approaches, observed for N =Z [6], also holds for Z = 0. Second, we want to calculate microscopically the symmetry energy. Third, we investigate the single-particle properties of neutron matter both at T= 0 and T+ 0, especially the neutron effective mass, which can play an important role in supernovae explosions. Fourth, we propose ourselves to use our results to calculate the neutron star mass spectrum. This is for illustrative purpose mainly, since this calculation requires the detailed knowledge of the equation of state at large densities, for which the perturbative approach is inadequate or, at least, on less safe grounds than the variational approach.The paper is organized as follows. Section 2 shortly describes the theoretical frame. Section 3 contains the numerical results for the binding energy, the average nucleon field, the effective mass and...

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Section: Neutron Matter Mean Field and Effective Massmentioning

confidence: 99%

“…The height of the peak seems to be somewhat smaller than in nuclear matter. Let Us remind that higher order (correlation) contributions, would shift the peak toward the position of the Fermi momentum [14].…”

Section: Neutron Matter Mean Field and Effective Massmentioning

confidence: 99%

Neutron matter properties in an extended Brueckner approach

Deneye

Lejeune

1987

Z. Physik A - Atomic Nuclei

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“…PACS : 21.65.Ef, 24.10.Lx, 25.75.-q Keywords: isospin and momentum dependent transport model; isospin particles; symmetry energy; effective mass splitting It has been well established the fact that the effective nucleon mass in nuclear matter or finite nuclei deviates from its vacuum value [1,2]. Moreover, a splitting of neutron and proton effective mass (here, the nonrelativistic mass (Landau mass) is concerned in accordance with the definition in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…It is found that the difference of the neutron and proton directed flows and the transverse momentum distribution of the neutron/proton ratio are sensitive to the stiffness of the symmetry energy, which can not be changed with the controversial effective mass splitting. The elliptic flows of free nucleons at high transverse momentum within mid-rapidity emission are a promising observable as distinguishing the nucleon effective mass splitting.PACS : 21.65.Ef, 24.10.Lx, 25.75.-q Keywords: isospin and momentum dependent transport model; isospin particles; symmetry energy; effective mass splitting It has been well established the fact that the effective nucleon mass in nuclear matter or finite nuclei deviates from its vacuum value [1,2]. Moreover, a splitting of neutron and proton effective mass (here, the nonrelativistic mass (Landau mass) is concerned in accordance with the definition in Ref.…”

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confidence: 99%

Effective mass splitting of neutron and proton and isospin emission in heavy-ion collisions

Feng

2012

Nuclear Physics A

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Within the framework of an isospin and momentum dependent transport model, the emissions of isospin particles (nucleons and light clusters) squeezed out in heavy-ion collisions are investigated as probes of the poorly known symmetry energy at high baryon density. Two different mass splittings of neutrons and protons in nuclear medium as m * n > m * p and m * n < m * p are used in the model and their influence on the isospin emission in heavy-ion collisions is discussed thoroughly.The competition between the stiffness and the momentum dependence of the symmetry potential on reaction dynamics are compared and systematically analyzed. It is found that the difference of the neutron and proton directed flows and the transverse momentum distribution of the neutron/proton ratio are sensitive to the stiffness of the symmetry energy, which can not be changed with the controversial effective mass splitting. The elliptic flows of free nucleons at high transverse momentum within mid-rapidity emission are a promising observable as distinguishing the nucleon effective mass splitting.PACS : 21.65.Ef, 24.10.Lx, 25.75.-q Keywords: isospin and momentum dependent transport model; isospin particles; symmetry energy; effective mass splitting It has been well established the fact that the effective nucleon mass in nuclear matter or finite nuclei deviates from its vacuum value [1,2]. Moreover, a splitting of neutron and proton effective mass (here, the nonrelativistic mass (Landau mass) is concerned in accordance with the definition in Ref.[3]) appears in neutron-rich matter, which increases with the isospin asymmetry.

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“…The shift is small for states near the Fermi energy, large and negative for deep-holi states, and large and positive for high-lying particle states. 18 In the optical model, the energy dependence in the potential is an important consideration. It should also be an important factor in the discussion of heavy-ion collisions.…”

Section: Discussionmentioning

confidence: 99%

The incorporation of particle collisions in the time-dependent hartree-fock approximation

Wong

Time-Dependent Hartree-Fock and Beyond

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Many-body theory of nuclear matter

Cited by 791 publications

References 142 publications

Neutron matter properties in an extended Brueckner approach

Neutron matter properties in an extended Brueckner approach

Effective mass splitting of neutron and proton and isospin emission in heavy-ion collisions

The incorporation of particle collisions in the time-dependent hartree-fock approximation

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