2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228482We investigate the changes of the masses and widths of $χ_{c0}$ and $χ_{c1}$ in hot gluonic matter near $T_c$ and in nuclear medium using QCD sum rules. As in the previous works for the $J/ψ$ and $η_c$, in-medium effects are incorporated through the changes of gluon condensates. Twist-2 terms for the $^3 P_0 (χ_{c0})$ and $^3 P_1 (χ_{c1})$ 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.CHigh Energy Physics - PhenomenologyNuclear ExperimentNuclear Theorytext