First lattice study of low-energy charmonium-hadron interaction

Journal Article · Tue Aug 01 04:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.034504· OSTI ID:20869263

Yokokawa, Kazuo; Hatsuda, Tetsuo ^[1]; Sasaki, Shoichi ^[1]; Hayashigaki, Arata ^[2]

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1. Department of Physics, University of Tokyo, Tokyo 113-0033 (Japan)
2. Institut fuer Theoretische Physik, J.W. Goethe Universitaet, D-60438 Frankfurt (Germany)

We study the scattering lengths of charmonia (J/{psi} and {eta}{sub c}) with light hadrons ({pi}, {rho}, and N) by the quenched lattice QCD simulations on 24{sup 3}x48, 32{sup 3}x48, and 48{sup 3}x48 lattices with the lattice spacing a{approx_equal}0.068 fm. The scattering length is extracted by using the Luescher'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}{sub c})-{pi}, J/{psi}({eta}{sub c})-{rho}, and J/{psi}({eta}{sub c})-N: The s-wave J/{psi}-{pi} ({eta}{sub 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{sub -0.010}{sup +0.013} mb (0.016{sub -0.008}{sup +0.011} mb). Also, the J/{psi}-N ({eta}{sub 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{sup 3} behavior of {delta}E at a large spatial size L.

• OSTI ID: 20869263
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 3 Vol. 74; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPUTERIZED SIMULATION
CROSS SECTIONS
ETA C-2980 MESONS
J PSI-3097 MESONS
LATTICE FIELD THEORY
NUCLEONS
PARTICLE INTERACTIONS
PHASE SHIFT
PIONS
QUANTUM CHROMODYNAMICS
RHO-770 MESONS
S WAVES
SCATTERING LENGTHS
SPIN