Masses and decay constants of (axial-)vector mesons at finite chemical potential

We update our previous results for (pseudo-)scalar mesons at zero temperature and finite quark chemical potential and generalize the investigation to include (axial-)vector mesons. We determine bound-state properties such as meson masses and decay constants up to chemical potentials far in the first...

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Bibliographic Details
Published in:arXiv.org 2021-09
Main Authors: Gunkel, Pascal J, Fischer, Christian S
Format: Article
Language:English
Subjects:
Bethe-Salpeter equation
Chemical potential
Constants
Decay rate
Flavor (particle physics)
Gluons
Phase transitions
Pions
Quarks
Vector mesons
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Summary:We update our previous results for (pseudo-)scalar mesons at zero temperature and finite quark chemical potential and generalize the investigation to include (axial-)vector mesons. We determine bound-state properties such as meson masses and decay constants up to chemical potentials far in the first-order coexistence region. To extract the bound-states properties, we solve the Bethe-Salpeter equation and utilize Landau-gauge quark and gluon propagators obtained from a coupled set of (truncated) Dyson-Schwinger equations with N\(_\textup{f}=2+1\) dynamical quark flavors at finite chemical potential and vanishing temperature. For multiple (pseudo-)scalar and (axial-)vector mesons, we observe constant masses and decay constants for chemical potentials up to the coexistence region of the first-order phase transition thus verifying explicitly the Silver-Blaze property of QCD. Inside the coexistence region the pion becomes more massive and its decay constants decrease, whereas corresponding quantities for the (axial-)vector mesons remain (almost) constant.
ISSN:2331-8422
DOI:10.48550/arxiv.2012.01957