Two-body correlations in nuclear systems

Müther, H.; Polls, A.

doi:10.1016/s0146-6410(00)00105-8

Cited by 179 publications

(217 citation statements)

References 214 publications

(453 reference statements)

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“…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%

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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Section: Introductionmentioning

confidence: 99%

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

et al. 2012

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“…A sizeable depletion appears below the Fermi sea, while high-momentum components are populated [17]. …”

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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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“…7 and data in Table 4). The saturation density is larger than twice the empirical value and the calculated energy is well below, which means that the CD-Bonn result is located in the large binding energy high density part of the Coester band (Müther and Polls, 2000).…”

Section: How To Reproduce the Empirical Saturation Pointmentioning

confidence: 77%

“…The self-energy of a nucleon with isospin i, momentum k and energy ω in asymmetric nuclear matter is defined in the BHF approximation by (Müther and Polls, 2000;Hassaneen and Müther, 2004):…”

Section: Brueckner-hartree-fock For Symmetric Nuclear Mattermentioning

confidence: 99%

“…In fact a lot of work has been done trying to solve this problem using different approaches and methods which are discussed in details by Müther and Polls (2000). An important ingredient of all these approaches is the consideration of the two-nucleon correlations which are induced by the strong short-range components of the NN interaction.…”

Section: Introductionmentioning

confidence: 99%

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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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Two-body correlations in nuclear systems

Cited by 179 publications

References 214 publications

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

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

High-momentum components in the nuclear symmetry energy

The Properties of Nuclear Matter

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