TY - JOUR

T1 - Charmonium-nucleon interaction from lattice QCD with a relativistic heavy quark action

AU - Kawanai, Taichi

AU - Sasaki, Shoichi

N1 - Funding Information:
We would like to thank T. Hatsuda for helpful suggestions and fruitful discussions. We also thank PACS-CS Collaboration for their gauge configurations. T.K. is supported by Grant-in-Aid for JSPS Fellows (No. 22-7653). S.S. is supported by the JSPS Grant-in-Aids for Scientific Research (C) (No. 19540265) and Scientific Research on Innovative Areas (No. 21105504). Numerical calculations reported here were carried out on the PACS-CS supercomputer at CCS, University of Tsukuba and also on the T2K supercomputer at ITC, University of Tokyo.
Publisher Copyright:
© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.

PY - 2010

Y1 - 2010

N2 - Detailed information of the low-energy interaction between the charmonia (ηc and J/ψ) and the nucleon is indispensable for exploring the formation of charmonium bound to nuclei. In order to investigate the charmonium-nucleon interactions at low energies, we adopt two essentially different approaches in lattice QCD simulations. The charmonium-nucleon potential can be calculated from the equal-time Bethe-Salpeter amplitude through the effective Schrödinger equation. This novel method is based on the same idea originally applied for the nucleon force by Aoki-Hatsuda-Ishii. Another approach is to utilize extended Lüscher's formula with partially twisted boundary conditions, which allows us to calculate the s-wave phase shift at any small value of the relative momentum even in a finite box. We then extract model independent information of the scattering length and the effective range from the phase shift through the effective-range expansion. Our simulations are carried out at a lattice cutoff of 1/a ≈ 2 GeV in a spatial volume of (3 fm)3 with the non-perturbatively O(a)-improved Wilson fermions for the light quarks and a relativistic heavy quark action for the charm quark. Although our main results are calculated in quenched lattice calculations, we also present a preliminary full QCD result by using the 2+1 flavor gauge configurations generated by PACS-CS Collaboration. We have found that the charmonium-nucleon potential is weakly attractive at short distances and exponentially screened at large distances. We have also successfully evaluated both the scattering length and effective range from the charmonium-nucleon scattering phase shift.

AB - Detailed information of the low-energy interaction between the charmonia (ηc and J/ψ) and the nucleon is indispensable for exploring the formation of charmonium bound to nuclei. In order to investigate the charmonium-nucleon interactions at low energies, we adopt two essentially different approaches in lattice QCD simulations. The charmonium-nucleon potential can be calculated from the equal-time Bethe-Salpeter amplitude through the effective Schrödinger equation. This novel method is based on the same idea originally applied for the nucleon force by Aoki-Hatsuda-Ishii. Another approach is to utilize extended Lüscher's formula with partially twisted boundary conditions, which allows us to calculate the s-wave phase shift at any small value of the relative momentum even in a finite box. We then extract model independent information of the scattering length and the effective range from the phase shift through the effective-range expansion. Our simulations are carried out at a lattice cutoff of 1/a ≈ 2 GeV in a spatial volume of (3 fm)3 with the non-perturbatively O(a)-improved Wilson fermions for the light quarks and a relativistic heavy quark action for the charm quark. Although our main results are calculated in quenched lattice calculations, we also present a preliminary full QCD result by using the 2+1 flavor gauge configurations generated by PACS-CS Collaboration. We have found that the charmonium-nucleon potential is weakly attractive at short distances and exponentially screened at large distances. We have also successfully evaluated both the scattering length and effective range from the charmonium-nucleon scattering phase shift.

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M3 - Conference article

AN - SCOPUS:84905495777

VL - 105

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

T2 - 28th International Symposium on Lattice Field Theory, Lattice 2010

Y2 - 14 June 2010 through 19 June 2010

ER -