New QCD Sum Rules for Nucleons in Nuclear Matter

Abstract

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 $M^{\ast }=0.64_{-0.09}^{+0.13}$ GeV and ${\Sigma }_v=0.29_{-0.10}^{+0.06}$ GeV at nuclear matter saturation density.

10 page RevTeX Manuscript with embedded figures. Revised manuscript accepted for publication. This and related papers may also be obtained from http://www.phys.washington.edu/~derek/Publications.html

References in corpus (6)

• QCD Sum Rules and Applications to Nuclear Physics
• QCD Sum Rules for Skeptics
• Nucleon Properties from Unconventional Interpolating Fields
• QCD sum rules for $\Delta$ isobar in nuclear matter
• QCD Sum Rules for $\Sigma$ Hyperons in Nuclear Matter
• Testing QCD Sum Rule Techniques on the Lattice

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• Dense Nuclear Matter: Landau Fermi-Liquid Theory and Chiral Lagrangian with Scaling
• Fluctuations In ``BR-Scaled'' Chiral Lagrangians
• Large Lorentz Scalar and Vector Potentials in Nuclei
• Constraints on the relativistic mean field of $\Delta$-isobar in nuclear matter
• Change of MIT Bag Constant in Nuclear Medium and Implication for the EMC Effect
• Quark and Nuclear Matter in the Linear Chiral Meson Model
• X(3872): propagating in a dense medium
• Scalar and vector self-energies of heavy baryons in nuclear medium
• How far is normal nuclear matter from the chiral symmetry restoration?
• Nucleon QCD sum rules in nuclear matter including four-quark condensates
• Density dependence of meson - nucleon vertices in nuclear matter
• The effects of colored quark entropy on the bag pressure
• New QCD Sum Rules for Nucleon Axial Vector Coupling Constants
• Chirality and Reliability of Baryon QCD Sum Rules
• Constraints on possible phase transitions above the nuclear saturation density
• Nucleon QCD sum rules in nuclear matter including radiative corrections
• Effective Field Theories, Landau-Migdal Fermi-Liquid Theory and Effective Chiral Lagrangians for Nuclear Matter
• QCD Vacuum Changes in Nuclei