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

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arxiv nucl-th/9811092 v1 pith:PJOI72MR submitted 1998-11-25 nucl-th

classification nucl-th
keywords scatteringlengthdensitymassmatternucleonruleabsolute
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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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Cited by 4 Pith papers

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

  1. Medium modifications of $1P$-wave charmonia $\chi_{cJ}(1P)$ in cold nuclear matter

    hep-ph 2025-10 conditional novelty 6.0 of 10

    χcJ(1P) masses drop by 34–97 MeV in nuclear matter in the QMC+unquenched-loop model, with the D*D̄* loop dominating χc2 and no D-D̄ threshold crossing below 3ρ0.

  2. Charmonium production at SPS and FAIR energies

    hep-ph 2026-05 unverdicted novelty 4.0 of 10

    Remler formalism with in-medium heavy-quark potential describes charmonium yields at SPS energies and supplies estimates for FAIR energies after calibration on p+p and p+A collisions.

  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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