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Nuclear matter description based on quark structure and pion exchange

Abstract : We have investigated[1] the possibility to describe infinite and symmetric nuclear matter in an approach constrained by quantum chromodynamics (QCD). More precisely, we have mapped the nucleon self-energies of a point coupling relativistic mean-field model on self-energies obtained in effective theories of QCD. We have determined the contributions to in-medium nucleon selfenergy by separating the short range part, driven principally by the quark structure of the nucleon, from the long range part, dictated by pion dynamics. We have taken the nucleon structure into account in a simple quark-diquark picture in a Nambu- Jona-Lasinio model[2], which is chirally invariant and reproduces the spontaneous chiral symmetry breaking. The quark-diquark picture generates large attractive scalar and repulsive vector self-energies in the medium, with an average ratio at saturation density of S0S/S0V −2. On the other hand, the long range part has been determined by including the one pion and iterated one pion exchange described in the framework of in-medium chiral perturbation theory[3]. The self-energies obtained are found to be approximately 130MeV at saturation for scalar and vector channels. A saturation point with too low density is obtained without any free parameter to fine tune (for a given constituent quark mass value). The description of nuclear matter saturation properties (saturation density rsat , binding energy EB(rsat ), effective nucleon mass M N (rsat) and incompressibility modulus K(rsat )) is improved by introducing a correction term to the self-energy, linear in the density, which could be interpreted as a correction to the quark-diquark picture approximations. This term is found to be relatively small, and we get a reasonable description of nuclear saturation considering that, for a given quarkmass value, we have only one free parameter dG0.
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http://hal.in2p3.fr/in2p3-00410299
Contributor : Virginie Mas <>
Submitted on : Wednesday, August 19, 2009 - 4:11:49 PM
Last modification on : Thursday, January 11, 2018 - 6:12:50 AM

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  • HAL Id : in2p3-00410299, version 1

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R. Huguet, J.C. Caillon, J. Labarsouque. Nuclear matter description based on quark structure and pion exchange. 8th Conference Quark Confinement and the Hadron Spectrum, Sep 2008, Mainz, Germany. pp.186. ⟨in2p3-00410299⟩

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