Nucleon QCD sum rules in nuclear matter including four-quark condensates

Abstract

We calculate the nucleon parameters in nuclear matter using the QCD sum rules approach in Fermi gas approximation. Terms up to 1/q^2 in the operator product expansion (OPE) are taken into account. The higher moments of the nucleon structure functions are included. The complete set of the nucleon expectation values of the four-quark operators is employed. Earlier the lack of information on these values has been the main obstacle for the further development of the approach. We show that the four-quark condensates provide the corrections of the order 20% to the results obtained in the leading orders of the OPE. This is consistent with the assumption about the convergence of the OPE. The nucleon vector self-energy Σ_v and the nucleon effective mass m^* are expressed in terms of the in-medium values of QCD condensates. The numerical results for these parameters at the saturation value of the density agree with those obtained by the methods of nuclear physics.

38 pages, 5 figures

References in corpus (11)

• Recent Progress in Quantum Hadrodynamics
• Dynamical Parton Distributions Revisited
• Sigma-term physics in the perturbative chiral quark model
• Strange nucleon form factors in the perturbative chiral quark model
• Electromagnetic Structure of the Nucleon in the Perturbative Chiral Quark Model
• QCD condensates and hadron parameters in nuclear matter: self-consistent treatment, sum rules and all that
• Electromagnetic couplings of the ChPT Lagrangian from the perturbative chiral quark model
• New QCD Sum Rules for Nucleons in Nuclear Matter
• Chiral symmetry and QCD sum rules for the nucleon mass in matter
• Expectation values of four-quark operators in the nucleon
• Expectation values of four-quark operators in pions

Cited by in corpus (19)

• Recent Progress in QCD Condensate Evaluations and Sum Rules
• Four-Quark Condensates in Nucleon QCD Sum Rules
• More about the $B$ and $D$ mesons in nuclear matter
• Evidence for In-Medium Changes of Four-Quark Condensates
• Properties of nucleon in nuclear matter: once more
• A New Approach to Physics of Nuclei
• QCD Sum Rules Description of Nucleons in Asymmetric Nuclear Matter
• Charmed Baryon ${\Lambda }_c$ in Nuclear Matter
• Next-to-Leading Order perturbative QCD corrections to baryon correlators in matter
• Algebraic Approach to Bare Nucleon Matrix Elements
• Effects of a dense medium on parameters of doubly heavy baryons
• QCD sum rules for the baryon octet in nuclear matter
• Investigation of Zero-Sound Dispersion Equation in the Complex Plane of Frequency
• The role of the in-medium four-quark condensates revised
• Nucleon QCD sum rules in nuclear matter including radiative corrections
• In-medium QCD sum rules for D mesons: A projection method for higher order contributions
• Compatibility of QCD sum-rules and Hadron field theory in a dense medium
• Electromagnetic Probes of Strongly Interacting Matter: Probes of Chiral Symmetry Restoration?
• Representations in Density Dependent Hadronic Field Theory and compatibility with QCD sum-rules