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First lattice study of low-energy charmonium-hadron interaction

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arxiv hep-lat/0605009 v2 pith:IKUBZMCY submitted 2006-05-13 hep-lat hep-phnucl-th

Kazuo Yokokawa , Shoichi Sasaki , Tetsuo Hatsuda , Arata Hayashigaki This is my paper · ORCID
classification hep-lathep-phnucl-th
keywords scatteringlatticelengthdeltaenergyhadronsattractivebecomes
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We study the scattering lengths of charmonia (J/psi and eta_c) with light hadrons (pi, rho and N) by the quenched lattice QCD simulations on 24x24x24x48, 32x32x32x48 and 48x48x48x48 lattices with the lattice spacing a = 0.068 fm. The scattering length is extracted by using the Luscher's phase-shift formula together with the measurement of the energy shift Delta E of two hadrons on the lattice. We find that there exist attractive interactions in all channels, J/psi(eta_c)-pi, J/psi(eta_c)-rho and J/psi(eta_c)-N: The s-wave J/psi-pi (eta_c-pi) scattering length is determined as 0.0119+-0.0039 fm (0.0113+-0.0035 fm) and the corresponding elastic cross section at the threshold becomes 0.018+0.013-0.010 mb (0.016+0.011-0.008 mb). Also, the J/psi-N (eta_c-N) spin-averaged scattering length is 0.71+-0.48 fm (0.70+-0.66 fm), which is at least an order of magnitude larger than the charmonium-pion scattering length. The volume dependence of the energy shifts is also investigated to check the expected 1/L^3 behavior of Delta E at a large spatial size L.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Low-energy scattering of the $J/\psi \pi$ and $J/\psi K$ system

    hep-ph 2026-01 conditional novelty 5.0 of 10

    First dispersive upper-bound estimates for J/ψπ and J/ψK scattering lengths, with soft-gluon exchange dominating the coupled-channel mechanism.

  2. Faddeev equations for the $J/\psi\,NN$ and $\phi\,NN$ three-body systems in momentum space

    hep-ph 2026-08 conditional novelty 4.0 of 10

    A momentum-space Faddeev calculation with Malfliet-Tjon and HAL QCD potentials predicts phi-nucleon-nucleon bound states and no J/psi-nucleon-nucleon bound state.

  3. Heavy-heavy and heavy-light mesons in cold nuclear matter

    nucl-th 2025-06 conditional novelty 3.0 of 10

    Using the quark-meson coupling model and effective Lagrangians, heavy and heavy-light mesons are predicted to feel attractive potentials in nuclei and form bound states, including new B_c-nucleus states.

  4. Recent progress on charmed hadron interactions from lattice QCD

    hep-lat 2025-09 conditional novelty 2.0 of 10

    A review of lattice QCD results on charmed hadron interactions: T_cc near threshold, an attractive N-J/psi force, and an Omega_ccc-Omega_ccc state near unitarity.

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