Hot neutron matter from a self-consistent Green's-functions approach

Rios, Arnau; Polls, A.; Vidaña, Isaac

doi:10.1103/physrevc.79.025802

Cited by 80 publications

(150 citation statements)

References 50 publications

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“…As a final remark, the effective potential discussed in our paper could be easily employed in many-body approaches other than those based on the CBF formalism or quantum Monte Carlo simulations, such as the G-matrix and self-consistent Green function theories [52][53][54].…”

Section: Discussionmentioning

confidence: 99%

Density-dependent nucleon-nucleon interaction from three-nucleon forces

et al. 2011

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Microscopic calculations based on realistic nuclear hamiltonians, while yielding accurate results for the energies of the ground and low-lying excited states of nuclei with A ≤ 12, fail to reproduce the empirical equilibrium properties of nuclear matter, that are known to be significantly affected by three-nucleon forces. We discuss a scheme suitable to construct a density-dependent two-nucleon potential, in which the effects of n-particle interactions can be included by integrating out the degrees of freedom of (n − 2)-nucleons. Our approach, based on the formalism of correlated basis function and state-of-the-art models of the two-and three-nucleon potentials, leads to an effective interaction that can be easily employed in nuclear matter calculations, yielding results in good agreement with those obtained from the underlying three-body potential.

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Section: Discussionmentioning

confidence: 99%

Density-dependent nucleon-nucleon interaction from three-nucleon forces

et al. 2011

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“…All the other BBG results are new and presented for the first time. The SCGF results presented here correspond to the zero-temperature extrapolation of results presented in previous publications [11]. The extrapolation procedure has not yet been discussed.…”

Section: Introductionmentioning

confidence: 99%

“…It is well established that the differences between SCGF and BHF result in an overall repulsive effect to the binding energy of both SM [30][31][32] and NM [11], which is mainly attributable to the inclusion of hole-hole propagation. Phase-space arguments suggest that this repulsive effect should increase with density.…”

Section: Scgfmentioning

confidence: 99%

“…The BHF results are particularly insightful, because the total energy can be directly connected to the partial wave expansion and therefore to the microscopic properties of the in-medium NN interaction. We also compare, when possible, the BHF results with other many-body approaches [8,9], namely the Brueckner-BetheGoldstone (BBG) approach up to third order in the hole-line expansion [10], the self-consistent Green's function (SCGF) method [11][12][13], the auxiliary field diffusion Monte Carlo (AFDMC) [6], the Green's function Monte Carlo (GFMC) [5], and the Fermi hypernetted chain (FHNC) [14][15][16]. The comparisons should be helpful in quantifying theoretical uncertainties with respect to the EOS.…”

Section: Introductionmentioning

confidence: 99%

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Comparative study of neutron and nuclear matter with simplified Argonne nucleon-nucleon potentials

et al. 2012

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We present calculations of the energy per particle of pure neutron and symmetric nuclear matter with simplified Argonne nucleon-nucleon potentials for different many-body theories. We compare critically the BruecknerHartree-Fock results to other formalisms, such as the Brueckner-Bethe-Goldstone expansion up to third order, self-consistent Green's functions, auxiliary field diffusion Monte Carlo, and Fermi hypernetted chain. We evaluate the importance of spin-orbit and tensor correlations in the equation of state and find these to be important in a wide range of densities.

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“…To solve the close set of equations, an iterative numerical procedure is a must. Recent advances have allowed implementations both at zero [12] and at finite temperature [13] using fully realistic NN interactions. We will focus here in calculations based on two-body forces only, including partial waves up to J = 4 (J = 8)…”

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confidence: 99%

High-momentum components in the nuclear symmetry energy

Carbone¹,

Polls²,

Rios³

2012

EPL

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The short-range and tensor correlations associated to realistic nucleon-nucleon interactions induce a population of high-momentum components in the many-body nuclear wave function. We study the impact of such high-momentum components on bulk observables associated to isospin asymmetric matter. The kinetic part of the symmetry energy is strongly reduced by correlations when compared to the non-interacting case. The origin of this behavior is elucidated using realistic interactions with different short-range and tensor structures. The existence of high-momentum components in the nuclear many-body wave function is a well-established property both from an experimental [1,2] and a theoretical points of view [3,4]. Short-range correlated pairs have been studied in detail at electron scattering facilities [5]. Two-nucleon knock-out reactions have identified the predominance of isospin I = 0 correlated pairs [2], an effect that has been related to the tensor component of the nucleon-nucleon (NN) interaction [6,7].The enhanced effect of correlations on neutron-proton (np) pairs with respect to neutronneutron (nn) pairs suggests that correlations can be increased (or even tuned) in isospin asymmetric systems, where a different number of np and nn pairs exist. Our microscopic many-body calculations indicate that the dependence of short-range and tensor correlations on the isospin asymmetry of the system, α = (N − Z)/(N + Z), is well understood from general theoretical principles [8]. One-body occupations, for instance, follow a systematic trend: neutrons become less depleted as the system becomes more neutron-rich, while the proton depletion increases [8,9].Here, rather than looking at microscopic properties, we want to quantify the effect that NN correlations have on the bulk properties of isospin asymmetric systems. By analysing the energy of symmetric, asymmetric and neutron matter obtained within a realistic many-body approach, we will draw conclusions on the impact of correlations on asymmetric systems.We will focus our attention on the symmetry energy, which characterises the properties of isospin-rich nuclei as well as neutron stars [10].To quantify the effect of correlations in a meaningful way, we use a many-body approximation that includes consistently short-range and tensor correlations. The ladder approximation, implemented within the self-consistent Green's functions (SCGF) approach, provides a microscopic description of these effects via a fully dressed propagation of nucleons in nuclear matter [4]. This is achieved by (a) computing the scattering of particles via a T -matrix (or effective interaction) in the medium, (b) extracting a self-energy out of the effective interaction and (c) using Dyson's equation to build two-body propagators which are subsequently inserted in the scattering equation [8,11]. To solve the close set of equations, an iterative numerical procedure is a must. Recent advances have allowed implementations both at zero [12] and at finite temperature [13] using fully realistic NN i...

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Hot neutron matter from a self-consistent Green's-functions approach

Cited by 80 publications

References 50 publications

Density-dependent nucleon-nucleon interaction from three-nucleon forces

Density-dependent nucleon-nucleon interaction from three-nucleon forces

Comparative study of neutron and nuclear matter with simplified Argonne nucleon-nucleon potentials

High-momentum components in the nuclear symmetry energy

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