Abstract
How to hunt for higher $P$-wave states of charmonium is still an open topic when $2P$ charmonia were identified. {In this work, we present an unquenched quark model calculation to illustrate the spectroscopy behavior of these $3P$, $4P$ and $5P$ states in charmonium family.} For the $3P$ charmonia, the predicted masses are around 4.2 GeV and their two-body open-charm decay behaviors were given, by which we propose that searching for these $3P$ states via their open-charm decay channels from $\gamma\gamma$ fusion and $B$ decay can be accessible at future experiment like LHCb and Belle II. We continue to calculate the masses of these $4P$ and $5P$ charmonia. Combing with these calculated results of higher $P$-wave states of charmonium, we find that the coupled-channel effect becomes more obvious with increasing the radial quantum number, which can be understood well by the modified Godfrey-Isgur model with screened potential.
Highlights
As the frontier of particle physics, how to quantitatively depict nonperturbative behavior of strong interaction has attracted extensive attention from both theorist and experimentalist
For the 3P charmonia, the predicted masses are around 4.2 GeV and their two-body open-charm decay behaviors were given, by which we propose that searching for these 3P states via their open-charm decay channels from γγ fusion and B decay can be accessible at future experiment like LHCb and Belle II
We first focus on the 3P charmonia by presenting their spectroscopy behavior
Summary
As the frontier of particle physics, how to quantitatively depict nonperturbative behavior of strong interaction has attracted extensive attention from both theorist and experimentalist. By adopting an unquenched quark model [19], we calculated the mass spectrum of the χcJð2PÞ states and found that the mass gap between χc0ð2PÞ and χc2ð2PÞ can reach 13 MeV, which is consistent with the mass difference between Zð3930Þ and Xð3915Þ. This observation supports Xð3915Þ as χc0ð2PÞ state [20]. We adopt an unquenched quark model [19], which was once applied to successfully depict these 2P charmonia as given by experiment [41,42] Along this line, we may continue to study these 4P charmonium states and even higher P-wave charmonia. PREDICTING THE 3P STATES AND HIGHER P-WAVE STATES OF CHARMONIUM UNDER AN UNQUENCHED QUARK MODEL
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