Thermodynamic consistency for nuclear matter calculations

Božek, Piotr; Czerski, P.

doi:10.1007/s100500170064

Cited by 37 publications

(57 citation statements)

References 17 publications

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“…This is substantiated by comparing the results of this discrete scheme with the results of the continuous self-consistency scheme used in Ref. [34] for the Mongan-type separable interaction [38] and in Ref. [36] for the separable Paris interaction [40].…”

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confidence: 65%

“…The implementation of this self-consistency scheme is numerically quite involved and has been attempted by several groups [31,32,33,34,35,36]. In the present paper two different approaches have been used to generate results for different interactions.…”

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confidence: 99%

“…Firstly, hole and particle lines are treated on an equal footing, thereby ensuring thermodynamic consistency [34]. Intermediate hole-hole propagation in the ladder diagrams is included to all orders.…”

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Saturation of Nuclear Matter and Short-Range Correlations

et al. 2003

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A fully self-consistent treatment of short-range correlations in nuclear matter is presented. Different implementations of the determination of the nucleon spectral functions for different interactions are shown to be consistent with each other. The resulting saturation densities are closer to the empirical result when compared with (continuous choice) Brueckner-Hartree-Fock values. Arguments for the dominance of short-range correlations in determining the nuclear-matter saturation density are presented. A further survey of the role of long-range correlations suggests that the inclusion of pionic contributions to ring diagrams in nuclear matter leads to higher saturation densities than empirically observed. A possible resolution of the nuclear-matter saturation problem is suggested. Several different remedies for this serious problem have been proposed over the years. The intrinsic structure of the nucleon and its related strong coupling to the ∆-isobar inevitably requires the consideration of three-body (or more-body) forces. When three-body forces are considered in variational calculations it is possible to achieve better saturation properties only when an adhoc repulsive short-range component of this three-body force is added [6,7]. It has also been suggested that a relativistic treatment of the nucleon in the medium using a DiracBrueckner approach provides the necessary ingredients for a better description of saturation [8,9,10,11].All many-body methods developed for nuclear matter have focused on a proper treatment of short-range correlations (SRC) without the benefit of experimental information on the influence of these correlations on the properties of the nucleon in the medium. This influence can now be clearly identified by considering recent results from (e,e ′ p) reactions [12,13,14] and theoretical calculations of the nucleon spectral function in nuclear matter [15,16,17]. A recent analysis of the (e,e ′ p) reaction on 208 Pb in a wide range of missing energies and for missing momenta below 270 MeV/c yields information on the occupation numbers of all the deeply-bound proton orbitals. These data indicate that all these orbitals are depleted by the same amount of about 15% [18]. These occupation numbers are associated with the orbits which yield an accurate fit to the (e,e ′ p) cross section. The properties of these occupation numbers suggest that the main effect of the global depletion of these meanfield orbitals is due to SRC. Indeed, the effect of the coupling of hole states to low-lying collective excitations only affects occupation numbers of states in the immediate vicinity of the Fermi energy [19]. In addition, nuclear matter momentum distributions display such an overall global depletion due to short-range and tensor correlations [17,20,21]. The latter results formed the basis of the now corroborated prediction [22,23] for the occupation numbers in 208 Pb [18].Most of this depleted single-particle (sp) strength is located at energies more than 100 MeV above the Fermi energy [17,20,22]. This ap...

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Saturation of Nuclear Matter and Short-Range Correlations

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“…This effective interaction will then be used in self-consistent Green's function (SCGF) calculation of infinite nuclear matter. Various groups have recently developed techniques to solve the corresponding equations and determine the energy-and momentum-distribution of the single-particle strength in a consistent way [11,32,33,34,35,36,37]. Therefore we can study the correlation effects originating from V low−k inside the model space and compare it to the correlations derived from the bare interaction.…”

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Correlations and effective interactions in nuclear matter

2006

Self Cite

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We performed Self-Consistent Greens Function (SCGF) calculations for symmetric nuclear matter using realistic nucleon-nucleon (NN) interactions and effective low-momentum interactions (V low−k ), which are derived from such realistic NN interactions. We compare the spectral distributions resulting from such calculations. We also introduce a density-dependent effective low-momentum interaction which accounts for the dispersive effects in the single-particle propagator in the medium.

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“…We use realistic NN forces and operate within SCGF framework. It is well known that the selfconsistent BHF approach does not reproduce the correct saturation point of nuclear matter with only the inclusion of the two-body interaction (Bozek and Czerski, 2001;Bozek, 2002). But our attention is mainly focused on how nuclear matter properties change in terms of the asymmetry ratio and some caution has to be taken whenever saturation properties are involved.…”

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The Properties of Nuclear Matter

Hassaneen¹

2013

Physics International

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The microscopic and bulk properties of nuclear matter at zero and finite temperatures are studied in the frame of the Brueckner theory. The results for the symmetry energy are also obtained using different potentials. The calculations are based on realistic nucleon-nucleon interactions which reproduce the nucleon-nucleon phase shifts. These microscopic approaches are supplemented by a density-dependent contact interaction to achieve the empirical saturation property of symmetric nuclear matter. Special attention is paid to behavior of the effective mass in asymmetric nuclear matter. The nuclear symmetry potential at fixed nuclear density is also calculated and its value decreases with increasing the nucleon energy. The hot properties of nuclear matter are also calculated using T 2 -approximation at low temperatures. Good agreement is obtained in comparison with previous works around the saturation point.

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Thermodynamic consistency for nuclear matter calculations

Cited by 37 publications

References 17 publications

Saturation of Nuclear Matter and Short-Range Correlations

Saturation of Nuclear Matter and Short-Range Correlations

Correlations and effective interactions in nuclear matter

The Properties of Nuclear Matter

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