Abstract
We propose a novel type of interpolating field operator, which manifests the hybrid-like configuration that the charm quark-antiquark pair recoils against gluonic degrees of freedom. A heavy vector charmonium-like state with a mass of 4.33(2),GeV is disentangled from the conventional charmonium states in the quenched approximation. This state has affinity for the hybrid-like operators but couples less to the relevant quark bilinear operator. We also try to extract its leptonic decay constant and give a tentative upper limit that it is less than one tenth of that of J/ψ, which corresponds to a leptonic decay width about dozens of eV. The connection of this state with X(4260) is also discussed.
Highlights
X(4260) was observed by many experiments as a ππJ/ψ resonance structure in the initial state radiation (ISR) process e+e− → γISRJ/ψππ [1,2,3]
From above one can see that our data analysis strategy is robust for the conventional vector charmonium states, we perform the similar study for the correlation functions described in Eq (4) and (5)
We use a new type of spatially extended hybrid-like operator to investigate the possible existence of exotic vector charmonia
Summary
X(4260) was observed by many experiments as a ππJ/ψ resonance structure in the initial state radiation (ISR) process e+e− → γISRJ/ψππ [1,2,3]. In the constituent quark model picture, this quantum number cannot appear in the qqsystem, it is usually conjectured that additional degrees of freedom should be involved and the minimum. One can relax the definition of a hybrid to an exotic object which has additional degree of freedom apart from the constituent quarks. The essence of the exotic nature of a meson state is that the constituent qqpair acquires a center-of-mass motion by recoiling against the additional degrees of freedom, which is distinct from the conventional hadron states. This is our starting point to build a novel type of hybrid-like operators.
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