Nuclear matter in the chiral limit and the in-medium chiral condensate

Abstract

We investigate nuclear matter, i.e. the nuclear equation-of-state (EOS) as well as the relativistic mean fields in the chiral limit. The investigations are based on a chiral nucleon-nucleon EFT interaction where the explicit and implicit pion mass dependence is known up to next-to-leading order. The nuclear bulk properties are found to remain fairly stable in the chiral limit. Based on the same interaction the in-medium scalar condensate is derived, both in Hartree-Fock approximation as well as from the Brueckner G-matrix, making thereby use of the Hellman-Feynman theorem. Short distance physics which determines the reduction of the in-medium nucleon mass is found to play only a minor role for the reduction of the chiral condensate.

arXiv comment30 pages, 5 figs. To appear in Nuclear Physics A

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Cited by in corpus (6)

• In-medium chiral condensate beyond linear density approximation
• Chiral condensate in neutron matter
• The chiral quark condensate and pion decay constant in nuclear matter at next-to-leading order
• Pi in the Sky: Neutron Stars with Exceptionally Light QCD Axions
• The $\Sigma \Sigma$ interactions in finite-density QCD sum rules
• Chiral condensate in nuclear matter with vacuum corrections