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arXiv:1501.03583·v3·High Energy Physics — Phenomenology

X(3872), I^G(J^{PC})=0^+(1^{++}), as the \chi_{1c}(2P) charmonium

N.N. Achasov🇷🇺 · E.V. Rogozina🇷🇺

Abstract

Contrary to almost standard opinion that the X(3872) resonance is the D^{*0}\bar D^0+c.c. molecule or the qc\bar q\bar c four-quark state, we discuss the scenario where the X(3872)resonance is the c\bar c = \chi_{c1}(2P) charmonium which "sits on" the D^{*0}\bar D^0 threshold. We explain the shift of the mass of the X(3872) resonance with respect to the prediction of a potential model for the mass of the \chi_{c1}(2P) charmonium by the contribution of the virtual D^*\bar D+c.c. intermediate states into the self energy of the X(3872) resonance. This allows us to estimate the coupling constant of the X(7872) resonance with the D^{*0}\bar D^0 channel, the branching ratio of the X(3872) \to D^{*0}\bar D^0 + c.c. decay, and the branching ratio of the X(3872) decay into all non-D^{*0}\bar D^0 + c.c. states. We predict a significant number of unknown decays of X(3872) via two gluon:X(3872)\to gluon\ gluon\to hadrons. We suggest a physically clear program of experimental researches for verification of our assumption.

Comments: 7 pages, 3 figures, corrected typos, changed Abstract, added reference, added the phrase: <Such a transition \sim \sqrt{V_{\chi_{c1}(2P)}/V_{X(3872)}} and a branching ratio of a decay via such a transition \sim V_{\chi_{c1}(2P)}/V_{X(3872)}.> - in conclusion in comparison with the publication Mod. Phys. Lett. A , 30, 1550181 (2015). added clarifications

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