Vector interaction strength in Polyakov-Nambu-Jona-Lasinio models from hadron-quark phase diagrams

Author(s)

Lourenco, O. ^[1] ; Dutra, M. ^[1] ; Frederico, T. ^[1] ; Delfino, A. ^[2] ; Malheiro, M. ^[1]

Affiliation

^[1] CTA, Inst Tecnol Aeronaut, Dept Fis, BR-12228900 Sao Jose Dos Campos, SP - Brazil

^[2] Univ Fed Fluminense, Inst Fis, BR-24210150 Niteroi, RJ - Brazil

• Document type: Journal article
• Source: Physical Review D; v. 85, n. 9 MAY 25 2012.
• Web of Science Citations: 28

Abstract

We estimate the vector interaction strength of the Polyakov-Nambu-Jona-Lasinio (PNJL) parametrizations, assuming that its transition curves should be as close as possible to the recently studied RMF-PNJL hadron-quark phase diagrams. Such diagrams are obtained matching relativistic mean-field hadronic models and the PNJL quark ones. By using this method we found for the magnitude of the vector interaction, often treated as a free parameter, a range of 7.66 GeV-2 less than or similar to G(V) less than or similar to 16.13 GeV-2, or equivalently, 1.52 less than or similar to G(V)/G(s) less than or similar to 3.2, with G(s) being the scalar coupling constant of the model. These values are compatible but restrict the range of 4 GeV-2 less than or similar to G(V) less than or similar to 19 GeV-2, recently obtained from lattice QCD data through a different mean-field model approach. (AU)

• FAPESP's process: 07/03633-3 - Hadronic matter and QCD in astrophysics: supernovae, GRBs and compact stars
• Grantee: Jorge Ernesto Horvath
• Support Opportunities: Research Projects - Thematic Grants