QCD sum rules for nucleons in nuclear matter

A relativistic nuclear energy density functional is developed, guided by two important features that establish connections with chiral dynamics and the symmetry breaking pattern of low-energy QCD: a) strong scalar and vector fields related to inmedium changes of QCD vacuum condensates; b) the long-and intermediate-range interactions generated by one-and two-pion exchange, derived from in-medium chiral perturbation theory, with explicit inclusion of ∆(1232) excitations. Applications are presented for binding energies, radii of proton and neutron distributions and other observables over a wide range of spherical and deformed nuclei from 16 O to 210 P o. Isotopic chains of Sn and P b nuclei are studied as test cases for the isospin dependence of the underlying interactions. The results are at the same level of quantitative comparison with data as the best phenomenological relativistic mean-field models.

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“…To first order in the scalar and baryon densities, these self-energies can be expressed as follows [12,35,36,37,38,39]: …”

Section: Scalar and Vector Fields: Guidance From In-medium Qcd Sum Rumentioning

confidence: 99%

Relativistic nuclear energy density functional constrained by low-energy QCD

et al. 2006

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“…In particular, the key information is available from the calculations of the masses of the ρ meson [5,6] and the nucleon [37,38] in medium. In their recent work, Jin and collaborators find (for ρ = ρ 0 ) [6,38] …”

Section: Qcd Sum Rulesmentioning

confidence: 99%

From chiral Lagrangians to Landau-Fermi liquid theory of nuclear matter

1996

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A simple relation between the effective parameters of chiral Lagrangians in medium as predicted by BR scaling and Landau Fermi liquid parameters is derived. This provides a link between an effective theory of QCD at mean-field level and many-body theory of nuclear matter. It connects in particular the scaling vector-meson mass probed by dileptons produced in heavy-ion collisions (e.g., CERES of CERN-SPS) to the scaling nucleon-mass relevant for low-energy spectroscopic properties, e.g., the nuclear gyromagnetic ratios δg l and the effective axial-vector constant g ⋆ A .

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“…The spin-1/2 states remain projected, and one generates additional sum rules for the nucleon scalar self-energy that are insensitive to the four-quark condensates. Our hope is that these new sum rules, along with previous spin-1/2 interpolator-based sum rules which are insensitive to the problematic four-quark condensates [3,5,6], will allow a better determination of the nucleon self-energies in nuclear matter.…”

mentioning

confidence: 99%

“…In-medium factorization expresses these chirally-even operators in terms of the square of a chirallyodd operator whose density dependence is likely to be very different. As such, the density dependence of these problematic four-quark operators is generally unknown [3,5,6].…”

mentioning

confidence: 99%

“…The QCD sum-rule approach [1] is a particularly useful method for connecting the properties of QCD to observed nuclear phenomena [2][3][4][5][6][7][8][9][10]. Recent progress in understanding the origin of the large and canceling isoscalar Lorentz-scalar and -vector self-energies for propagating nucleons in nuclear matter has been made via the analysis of QCD sum rules generalized to finite nucleon density [2][3][4][5][6].…”

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confidence: 99%

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New QCD sum rules for nucleons in nuclear matter

1996

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Two new QCD sum rules for nucleons in nuclear matter are obtained from a mixed correlator of spin-1/2 and spin-3/2 interpolating fields. These new sum rules, which are insensitive to the poorly known four-quark condensates, provide additional information on the nucleon scalar self-energy. These new sum rules are analyzed along with previous spin-1/2 interpolator-based sum rules which are also insensitive to the poorly known four-quark condensates. The analysis indicates consistency with the expectations of relativistic nuclear phenomenology at nuclear matter saturation density. However, a weaker density dependence near saturation is suggested. Using previous estimates of in-medium condensate uncertainties, we find M * = 0.64 +0.13 −0.09 GeV and Σ v = 0.29 +0.06 −0.10 GeV at nuclear matter saturation density.

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QCD sum rules for nucleons in nuclear matter

Cited by 105 publications

References 36 publications

Relativistic nuclear energy density functional constrained by low-energy QCD

Relativistic nuclear energy density functional constrained by low-energy QCD

From chiral Lagrangians to Landau-Fermi liquid theory of nuclear matter

New QCD sum rules for nucleons in nuclear matter

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