Anti-charmed pentaquark $Θ_c (3099)$ from QCD sum rules

Physics – High Energy Physics – High Energy Physics - Phenomenology

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10 pages, the revised version to appear in PLB

Scientific paper

10.1016/j.physletb.2004.06.038

We construct QCD sum rules for the anti-charmed pentaquark $\Theta_c (3099)$, recently reported at HERA. The sum rules are constructed similarly with the $\Theta^+ (1540)$ sum rules using the anti-charmed analogue of the $\Theta^+$ interpolating field. The strange quark and quark-gluon mixed condensates, which were important in the $\Theta^+$ sum rules, are replaced by the gluon condensates whose contribution to the OPE is suppressed due to the heavy quark mass. Our result suggests that the parity of $\Theta_c$ is positive. We identify the difference from the $\Theta^+$ sum rule, which leads to the positive parity in this heavy-light pentaquark system. The obtained mass is similar to the experimental value.

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