The relativistic self-energy in nuclear dynamics

Abstract

It is a well known fact that Dirac phenomenology of nuclear forces predicts the existence of large scalar and vector mean fields in matter. To analyse the relativistic self-energy in a model independent way, modern high precision nucleon-nucleon ($NN$) potentials are mapped on a relativistic operator basis using projection techniques. This allows to compare the various potentials at the level of covariant amplitudes were a remarkable agreement is found. It allows further to calculate the relativistic self-energy in nuclear matter in Hartree-Fock approximation. Independent of the choice of the nucleon-nucleon interaction large scalar and vector mean fields of several hundred MeV magnitude are generated at tree level. In the framework of chiral EFT these fields are dominantly generated by contact terms which occur at next-to-leading order in the chiral expansion. Consistent with Dirac phenomenology the corresponding low energy constants which generate the large fields are closely connected to the spin-orbit interaction in $NN$ scattering. The connection to QCD sum rules is discussed as well.

49 pages, 13 figures

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Cited by in corpus (16)

• Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Nuclear matter in the crust of neutron stars derived from realistic NN interactions
• Four-Quark Condensates in Nucleon QCD Sum Rules
• Low densities in asymmetric nuclear matter
• Hypernuclear single particle spectra based on in-medium chiral SU(3) dynamics
• Nuclear energy density functional from chiral pion-nucleon dynamics revisited
• In-medium chiral SU(3) dynamics and hypernuclear structure
• Note on spin-orbit interactions in nuclei and hypernuclei
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• Hypernuclei and in-medium chiral dynamics
• Transport Model Comparison Studies of Intermediate-Energy Heavy-Ion Collisions