$J/ψ$-Nucleon Scattering Length and In-medium Mass Shift of $J/ψ$ in QCD Sum Rule Analysis

Details $J/ψ$-Nucleon Scattering Length and In-medium Mass Shift of $J/ψ$ in QCD Sum Rule Analysis $J/ψ$-Nucleon Scattering Length and In-medium Mass Shift of $J/ψ$ in QCD Sum Rule Analysis

1998-11-25

arxiv.org/abs/nucl-th/9811092v1

Prog.Theor.Phys. 101 (1999) 923-935

Physics

Nuclear Physics

Nuclear Theory

14 pages, latex, 2 figures included, uses epsf.sty

Scientific paper

10.1143/PTP.101.923

We calculate the spin-averaged $J/\psi$-nucleon scattering length $a_{J/\psi}$ by directly applying QCD sum rule to $J/\psi$-$N$ forward scattering amplitude. Our result $a_{J/\psi} = - 0.10 \pm 0.02$ fm, predicts the possibility of bound states with nuclei, though the force is weaker than that of the light vector mesons ($\rho,\omega,\phi$)-$N$ cases. Up to dimension-4 gluonic operators, we evaluate the scattering length with twist-2 contribution, which increases the absolute value of the scattering length about 30%. If we apply $a_{J/\psi}$ to the effective mass of $J/\psi$ in nuclear matter on the basis of the linear density approximation, it shows very slight decrease ($4 \sim 7$ MeV) at normal matter density.

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