Nuclear symmetry energy from QCD sum rules

Jeong, Kie Sang; Lee, Su Houng

doi:10.1103/physrevc.87.015204

Cited by 16 publications

(34 citation statements)

References 68 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where we have q 2 0 = (q · u) 2 , u = (1, 0), and c 1 = 7t 2 − 2t − 5, c 2 = 1 − t 2 , c 3 = 2t 2 − 2t − 1, c 4 = 5t 2 + 2t + 5 and c 5 = 7t 2 + 10t + 7 [89]. In this work, the following condensates are included for the QCDSR equations, Now we generalize the above results of SNM to the case of ANM, and the QCDSR equations for the proton are given by [95],…”

Section: Ope Coefficientsmentioning

confidence: 95%

“…The energy dependence of the QCD coupling constant, i.e., α s ≡ g 2 s /4π is given by α s (q 2 ) = 4π/9 ln(q 2 /µ 2 ). The factor L contains radiation effects effectively [95]. Furthermore, the contributions from continuum excitations whose physical origin will be discussed in Section IV, are included by the following functions,…”

Section: Ope Coefficientsmentioning

confidence: 99%

“…In this subsection, we discuss the properties of quark/gluon condensates with their density dependence, which are used as input for QCDSR equations. For the three-dimensional chiral condensate qq ρ,δ , one could introduce [95],…”

Section: E Quark and Gluon Condensates Used In This Workmentioning

confidence: 99%

“…where ϑ 1 ≈ 0.35, ϕ 1 ≈ 0.55 [95]. The lowest order of gluon condensates have mass dimension four, i.e.,…”

Section: E Quark and Gluon Condensates Used In This Workmentioning

confidence: 99%

“…In this work, we use the QCDSR method to investigate the EOS of isospin asymmetric nucleonic matter through the nucleon self-energy decomposition formulae [41] based on the Hugenholtz-Van Hove (HVH) theorem [111], and especially focus on the nuclear symmetry energy and the EOS of pure neutron matter (PNM). It is necessary to point out that the symmetry energy was also studied recently by the QCDSR through a specific approach mapping the nucleon self-energies to the symmetry energy [95]. Moreover, some main results on the EOS of PNM via the QCDSR were already reported in ref.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

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

View full text Add to dashboard Cite

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.

show abstract

Section: Ope Coefficientsmentioning

confidence: 95%

Section: Ope Coefficientsmentioning

confidence: 99%

Section: E Quark and Gluon Condensates Used In This Workmentioning

confidence: 99%

“…where ϑ 1 ≈ 0.35, ϕ 1 ≈ 0.55 [95]. The lowest order of gluon condensates have mass dimension four, i.e.,…”

Section: E Quark and Gluon Condensates Used In This Workmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

View full text Add to dashboard Cite

show abstract

Symmetry energy in cold dense matter

Jeong

Lee

2016

Nuclear Physics A

Self Cite

View full text Add to dashboard Cite

We calculate the symmetry energy in cold dense matter both in the normal quark phase and in the 2-color superconductor (2SC) phase. For the normal phase, the thermodynamic potential is calculated by using hard dense loop (HDL) resummation to leading order, where the dominant contribution comes from the longitudinal gluon rest mass. The effect of gluonic interaction to the symmetry energy, obtained from the thermodynamic potential, was found to be small. In the 2SC phase, the non-perturbative BCS paring gives enhanced symmetry energy as the gapped states are forced to be in the common Fermi sea reducing the number of available quarks that can contribute to the asymmetry. We used high density effective field theory to estimate the contribution of gluon interaction to the symmetry energy. Among the gluon rest masses in 2SC phase, only the Meissner mass has iso-spin dependence although the magnitude is much smaller than the Debye mass. As the iso-spin dependence of gluon rest masses is even smaller than the case in the normal phase, we expect that the contribution of gluonic interaction to the symmetry energy in the 2SC phase will be minimal. The different value of symmetry energy in each phase will lead to different prediction for the particle yields in heavy ion collision experiment.

show abstract