A New Approach to Physics of Nuclei

Abstract

We employ the QCD sum rules method for description of nucleons in nuclear matter. We show that this approach provides a consistent formalism for solving various problems of nuclear physics. Such nucleon characteristics as the Dirac effective mass $m^{\ast }$ and the vector self-energy ${\Sigma }_V$ are expressed in terms of the in-medium values of QCD condensates. The values of these parameters at saturation density and the dependence on the baryon density and on the neutron-to-proton density ratio is in agreement with the results, obtained by conventional nuclear physics method. The contributions to $m^{\ast }$ and ${\Sigma }_V$ are related to observables and do not require phenomenological parameters. The scalar interaction is shown to be determined by the pion--nucleon $\sigma$-term. The nonlinear behavior of the scalar condensate may appear to provide a possible mechanism of the saturation. The approach provided reasonable results for renormalization of the axial coupling constant, for the contribution of the strong interactions to the neutron--proton mass difference and for the behavior of the structure functions of the in-medium nucleon. The approach enables to solve the problems which are difficult or unaccessible for conventional nuclear physics methods. The method provides guide-lines for building the nuclear forces. The three-body interactions emerge within the method in a natural way. There rigorous calculation will be possible in framework of self-consistent calculation in nuclear matter of the scalar condensate and of the nucleon effective mass $m^{\ast }$.

69 pages, 2 tables, 22 figures, some misprints are corrected

References in corpus (9)

• Chiral three-nucleon forces and neutron matter
• New measurements of the EMC effect in very light nuclei
• Extraction of the pion-nucleon sigma-term from the spectrum of exotic baryons
• Neutron-proton mass difference in finite nuclei and the Nolen-Schiffer anomaly
• Neutron star, $\beta$-stable ring-diagram equation of state and Brown-Rho scaling
• Neutron-proton mass difference in nuclear matter
• Next-to-Leading Order perturbative QCD corrections to baryon correlators in matter
• Nucleon sigma term and quark condensate in nuclear matter
• Nucleon QCD sum rules in nuclear matter including radiative corrections

Cited by in corpus (12)

• Parity projection of QCD sum rules for the nucleon
• An efficient method for evaluating energy-dependent sum rules
• A Bayesian analysis of the nucleon QCD sum rules
• Nuclear Symmetry Energy from QCD sum rules
• Charmed Baryon ${\Lambda }_c$ in Nuclear Matter
• Negative-parity nucleon excited state in nuclear matter
• Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules
• Three nucleon forces in nuclear matter in the QCD sum rules
• The role of the in-medium four-quark condensates revised
• Many body effects in nuclear matter QCD sum rules
• Neutron matter within QCD sum rules
• Equilibrium of nuclear matter in QCD sum rules