Abstract
Abstract We study an interquark Q Q ¯ potential for the charmonium system, that is determined from the equal-time and Coulomb gauge Q Q ¯ Bethe–Salpeter (BS) wavefunction through the effective Schrodinger equation. This novel approach enables us to evaluate a kinetic heavy quark mass m Q and a proper interquark potential at finite quark mass m Q , which receives all orders of 1 / m Q corrections on the static Q Q ¯ potential from Wilson loops, simultaneously. Precise information of the interquark potential for both charmonium and bottomonium states directly from lattice QCD provides us a chance to improve quark potential models, where the spin-independent interquark potential is phenomenologically described by the Cornell potential and the spin-dependent parts are deduced within the framework of perturbative QCD, from first-principles calculations. In this study, calculations are carried out in both quenched and dynamical fermion simulations. We first demonstrate that the interquark potential at finite quark mass calculated by the BS amplitude method smoothly approaches the conventional static heavy quark potential from Wilson loops in the infinitely heavy quark limit within quenched lattice QCD simulations. Second, we determine both spin-independent and dependent parts of the interquark potential for the charmonium system in 2+1 flavor dynamical lattice QCD using the PACS-CS gauge configurations at the lightest pion mass, M π = 156 MeV.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.