In-medium modification of P-wave charmonia from QCD sum rules

Abstract

We investigate the changes of the masses and widths of ${\chi }_{c0}$ and ${\chi }_{c1}$ in hot gluonic matter near $T_c$ and in nuclear medium using QCD sum rules. As in the previous works for the $J/\psi$ and ${\eta }_c$, in-medium effects are incorporated through the changes of gluon condensates. Twist-2 terms for the ${}^3{P}_0({\chi }_{c0})$ and ${}^3{P}_1({\chi }_{c1})$ are also included for the first time. The results show that larger mass shifts and width broadenings take place as compared to the $S$-wave states. As the critical change take place near $T_c$, related measurements can reveal critical phenomenon in QCD.

7 pages, 6 figures, to be published in Phys.Rev.C

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