New QCD Sum Rules for Nucleons in Nuclear Matter

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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10 page RevTeX Manuscript with embedded figures. Revised manuscript accepted for publication. This and related papers may also

Scientific paper

10.1016/0370-2693(96)01043-X

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 $\Sigma_v = 0.29^{+0.06}_{-0.10}$ GeV at nuclear matter saturation density.

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