5 years ago

Comprehensive study of mass modifications of light mesons in nuclear matter in the three-flavor extended Linear Sigma Model. (arXiv:1908.10509v1 [nucl-th])

Daiki Suenaga, Phillip Lakaschus
We study mass modifications of scalar, pseudo-scalar, vector, and axial-vector mesons in nuclear matter comprehensively using the three-flavor extended Linear Sigma Model (eLSM) and the two-flavor Parity Doublet Model (PDM). Nuclear matter is constructed by the one-loop approximation of the nucleon together with the meson mean fields. Correspondingly, we include one-loop corrections by the nucleons as well as the meson mean fields to define the meson masses in medium. As a result, we find all spin-$0$ meson masses except the pion, kaon, and the lightest scalar-isoscalar ones decrease at finite baryon density. The mass reduction of the $\eta'$ meson in nuclear matter supports the possibility of the formation of $\eta'$ mesic nuclei. For spin-$1$ mesons, masses of all axial-vector mesons decrease in medium, whereas density dependences of $\rho$ and $\omega$ meson masses sufficiently depend on the value of chiral invariant mass ($M_0$). Also, our results suggest $M_0\approx0.8\, {\rm GeV}$ is preferable.

Publisher URL: http://arxiv.org/abs/1908.10509

DOI: arXiv:1908.10509v1

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