Bethe-Salpeter wave functions of ηc (1S, 2S) and ψ (1S, 2S) states: Local-potential description of the charmonium system revisited

Kazuki Nochi, Taichi Kawanai, Shoichi Sasaki

Research output: Contribution to journalConference articlepeer-review


The quark potential models with an energy-independent central potential have been successful for understanding the conventional charmonium states especially below the open charm threshold. As one might consider, however, the interquark potential is in general energy-dependent, and its tendency gets stronger in higher lying states. Confirmation of whether the interquark potential is energy-independent is also important to verify the validity of the quark potential models. In this talk, we examine the energy dependence of the charmonium potential, which can be determined from the Bethe-Salpeter (BS) amplitudes of cc̄ mesons in lattice QCD.We first calculate the BS amplitudes of radially excited charmonium states, the ηc(2S) and ψ(2S) states, using the variational method and then determine both the quark kinetic mass and the charmonium potential within the HAL QCD method. Through a direct comparison of charmonium potentials determined from both the 1S and 2S states, we confirm that neither the central nor spin-spin potential shows visible energy dependence at least up to 2S state.

Original languageEnglish
Article number06009
JournalEPJ Web of Conferences
Publication statusPublished - 2018 Mar 26
Event35th International Symposium on Lattice Field Theory, Lattice 2017 - Granada, Spain
Duration: 2017 Jun 182017 Jun 24

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Bethe-Salpeter wave functions of η<sub>c</sub> (1S, 2S) and ψ (1S, 2S) states: Local-potential description of the charmonium system revisited'. Together they form a unique fingerprint.

Cite this