dorsal/arxiv
View SchemaThe relativistic self-energy in nuclear dynamics
| Authors | O. Plohl, C. Fuchs |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0607053 |
| URL | https://arxiv.org/abs/nucl-th/0607053 |
| DOI | 10.1103/PhysRevC.74.034325 |
| Journal | Phys.Rev.C74:034325,2006 |
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.
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"abstract": "It is a well known fact that Dirac phenomenology of nuclear forces predicts\nthe existence of large scalar and vector mean fields in matter. To analyse the\nrelativistic self-energy in a model independent way, modern high precision\nnucleon-nucleon ($NN$) potentials are mapped on a relativistic operator basis\nusing projection techniques. This allows to compare the various potentials at\nthe level of covariant amplitudes were a remarkable agreement is found. It\nallows further to calculate the relativistic self-energy in nuclear matter in\nHartree-Fock approximation. Independent of the choice of the nucleon-nucleon\ninteraction large scalar and vector mean fields of several hundred MeV\nmagnitude are generated at tree level. In the framework of chiral EFT these\nfields are dominantly generated by contact terms which occur at next-to-leading\norder in the chiral expansion. Consistent with Dirac phenomenology the\ncorresponding low energy constants which generate the large fields are closely\nconnected to the spin-orbit interaction in $NN$ scattering. The connection to\nQCD sum rules is discussed as well.",
"arxiv_id": "nucl-th/0607053",
"authors": [
"O. Plohl",
"C. Fuchs"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.74.034325",
"journal_ref": "Phys.Rev.C74:034325,2006",
"title": "The relativistic self-energy in nuclear dynamics",
"url": "https://arxiv.org/abs/nucl-th/0607053"
},
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