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Where are 3P and higher P-wave states in the charmonium family?

2021/07/31 by Ming-Xiao Duan, Xiang Liu · 2 citations
Physics and Astronomy · #hep-ph #hep-ex

paper · pdf · doi:10.1103/physrevd.104.074010

published as Phys. Rev. D 104, 074010 (2021) · 8 pages, 4 figures and 7 tables. Accepted for publication in PRD

arxiv created 2021/10/01 · arxiv updated 2021/10/15

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 γγ 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.

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