Three nucleon forces in nuclear matter in QCD sum rules

Drukarev, E. G.; Ryskin, M. G.; Sadovnikova, V. A.

doi:10.1016/j.nuclphysa.2016.12.012

Cited by 7 publications

(19 citation statements)

References 25 publications

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“…Besides the abovementioned work, recent studies of the nucleon at finite density based on QCDSRs include the ongoing series of papers by Drukarev and collaborators [320,321,322,323,324,325] and other groups [326,327], including generalizations to decuplet baryons and hyperons [328,329,330,331]. The nuclear symmetry energy is another interesting quantity that was studied using QCDSRs during the last few years.…”

Section: The Nucleonmentioning

confidence: 99%

Recent progress in QCD condensate evaluations and sum rules

Gubler

Satow

2019

Progress in Particle and Nuclear Physics

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We review the recent status of the QCD sum rule approach to study the properties of hadrons in vacuum and in hot or dense matter. Special focus is laid on the progress made in the evaluation of the QCD condensates, which are the input of all QCD sum rule calculations, and for which much new information has become available through high precision lattice QCD calculations, chiral perturbation theory and experimental measurements. Furthermore, we critically examine common analysis methods for QCD sum rules and contrast them with potential alternative strategies. The status of QCD sum rule studies investigating the modification of hadrons at finite density as well as recent derivations of exact sum rules applicable to finite temperature spectral functions, are also reviewed.

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Section: The Nucleonmentioning

confidence: 99%

Recent progress in QCD condensate evaluations and sum rules

Gubler

Satow

2019

Progress in Particle and Nuclear Physics

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“…Among these effects, the most important is the appearance of the quark/gluon condensates. The basic idea of QCDSR for nuclear matter calculations [29][30][31][32][33][34][35][36][37] is to relate these condensates to the nucleon self-energies using the operator product expansion (OPE) technique, where information on the self-energies is introduced via nucleonnucleon correlation functions. Within the QCDSR method, the exact information on the nucleon self-energies and nuclear matter EOS can thus provide constraints on the in-medium quark condensate, which is an order parameter of spontaneous chiral symmetry breaking in QCD.…”

Section: Introductionmentioning

confidence: 99%

“…Here α is a parameter characterizing the three-body force. Exploring the three-body force in the QCDSR [35] and its connection to the high density term in the chiral condensates will be useful for further applications of the QCDSR in nucleonic matter calculations. In the following, we abbreviate the QCDSR using the chiral condensate without the last term in Eq.…”

Section: A Brief Introduction To Qcdsrmentioning

confidence: 99%

Neutron matter within QCD sum rules

Cai

Chen

2018

Phys. Rev. C

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Equation of state (EOS) of pure neutron matter (PNM) is studied in QCD sum rules (QCDSR). It is found that the QCDSR results on EOS of PNM are in good agreement with predictions by current advanced microscopic many-body theories. Moreover, the higher-order density terms in quark condensates are shown to be important to describe the empirical EOS of PNM in the density region around and above nuclear saturation density although they play minor role at subsaturation densities. The chiral condensates in PNM are also studied, and our results indicate that the higher-order density terms in quark condensates, which are introduced to reasonably describe the empirical EOS of PNM at suprasaturation densities, tend to hinder the appearance of chiral symmetry restoration in PNM at high densities.

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“…For instance, in the SHF model, a traditional two-body force contributes a term proportional to ρ to the EOS, and a ρ 1+α term emerges once the effective three-body force is considered [73] with α the parameter characterizing the three-body force. Recently, three-body forces even the four-body forces are included in the QCDSR calculations for nucleonic matter [92][93][94], and it is really also interesting and important to see how these many-body forces influence, for example, the E n (ρ) and/or the nuclear symmetry energy. Investigations on these problems will help us better understanding the origins of the uncertainties on the symmetry energy and/or the difficulties to produce reasonable saturation properties of the symmetric matter, and they are also important for making further progresses in the nucleonic matter calculations, such as to explore the incompressibility property of the ANM with any isospin asymmetry, and/or the single nucleon optical potential [265][266][267][268].…”

Section: Discussionmentioning

confidence: 99%

“…In this section, we briefly describe the physical foundation of QCDSR [85][86][87][88][89][90][91][92][93][94][95]99]. We first discuss the QCDSR in vacuum, which is relatively simple but contains all the important ingredients of the method.…”

Section: Foundation Of Qcdsrmentioning

confidence: 99%

Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules

Cai

Chen

2019

Phys. Rev. C

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Properties of the relativistic nucleon self-energy decomposition of the symmetry energy as well as the equation of state (EOS) of pure neutron matter (PNM) are explored systematically within the QCD sum rules (QCDSR). Our main conclusions are: 1). The five self-energy decomposition terms of the symmetry energy according to the nucleon Lorentz structure are carefully studied, leading to the conclusion that the symmetry energy increases as the nucleon sigma term σN increases and the contributions to the symmetry energy due to the momentum dependence of the self-energies in symmetric nuclear matter (SNM) are very small compared with those from other decomposition terms. 2). A smaller strange quark mass is found to generate a larger symmetry energy, and this correlation is useful for understanding the origins of the uncertainties on the (nucleonic matter) symmetry energy from quark level. 3). The EOS of PNM at low densities can be effectively approximated bywhich depends only on several physical quantities such as mq, σN and qq vac, and this formula already has predictive power and the results are found to be consistent with those from other celebrated microscopic many-body theories at low densities. 4). The higher order density terms in quark condensates are shown to be important to describe the empirical EOS of PNM in the density region around and above nuclear saturation density, and these higher order density terms are also found to hinder the appearance of chiral symmetry restoration in PNM at high densities. 5). The symmetry energy is shown to depend strongly on the five-dimensional condensate gsq † σGq ρ,δ , providing a useful approach to explore the symmetry energy through knowledge on the condensates which can be extracted from hadronic physics. 6). The twist-four four-quark condensates are shown to have significant effects on the EOS of both SNM and PNM but have minor effects on the symmetry energy, and combined with the analyses on the effects of the higher order density terms in the chiral condensates, three parameter sets of QCDSR are constructed and they are shown to be able to describe the EOS of PNM and the symmetry energy within a wide range of densities. Our results in the present work demonstrate that the QCDSR approach can provide a useful way to understand the properties of dense nucleonic matter from non-perturbative QCD vacuum.

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Three nucleon forces in nuclear matter in QCD sum rules

Cited by 7 publications

References 25 publications

Recent progress in QCD condensate evaluations and sum rules

Recent progress in QCD condensate evaluations and sum rules

Neutron matter within QCD sum rules

Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules

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