By assuming that Y (4260) is a D1D molecular state, we investigate some hidden-charm and charmed pair decay channels of Y (4260) via intermediate D1D meson loops with an effective Lagrangian approach. Through investigating the α-dependence of branching ratios and ratios between different decay channels, we show that the intermediate D1D meson loops are crucial for driving these transitions of Y (4260) studied here. The coupled channel effects turn out to be more important in Y (4260) → D * D * , which can be tested in the future experiments.PACS numbers: 13.25.GV, 13.75.Lb, 14.40.Pq
I. INTRODUCTIONDuring the past years, the experimental observation of a large number of so-called XY Z states has initiated tremendous efforts to unravel their nature beyond the conventional quark model (for recent reviews, see, e.g. Refs [1][2][3][4][5]). Y (4260) was reported by the BaBar Collaboration in the, which has been confirmed both by the CLEO and Belle collaboration [7,8]. Its mass and total width are well determined as m = 4263 [31], the authors also studied the possibility of Y (4260) as P-wave 1 −− state of charm-strange diquark-antidiquark state in the framework of QCD sum rules and arrived the same conclusion as Ref. [30]. Some lattice calculations give the mass of vector hybrid within this mass region [32], which is very close to the new charmonium-like state Y(4360) [33]. With the D 1D molecular ansatz, a consistent description of some of the experimental observations can be obtained, such as its non observation in open charm decays, or the observation of Z c (3900) as mentioned in Ref. [19], the threshold behavior in its main decay channels are investigated in Ref.[34] and the production of X(3872) is studied in the radiative decays of Y (4260) [22]. Under such a molecular state assumption, a consistent description of many experimental observations could be obtained. However, as studied in [35], the production of an S-wave D 1D pair in e + e − annihilation is forbidden in the limit of exact heavy quark spin symmetry, which substantially weakens the arguments for considering the Y (4260) charmonium-like resonance as a D 1D molecular state.The intermediate meson loop (IML) transition is one of the possible nonperturbative dynamical mechanisms, especially when we investigate the pertinent issues in the energy region of charmonium . During the last decade, many interesting observations were announced by Belle, BaBar, CLEO, BESIII, and so on. And in theoretical study, it is widely recognized that the IML may be closely related to a lot of nonperturbative phenomena observed in experiments , e.g. apparent OZI-rule violations, sizeable non-DD decay branching ratios for ψ(3770) [44][45][46][47][48][49], the HSR violations in charmonium decays [56][57][58], the hidden charmonium decays of the newly discovered Z c [62], etc. * gli@mail.qfnu.edu.cn † liuxiaohai@pku.edu.cn [1] Notice that there are two D 1 states of similar masses, and the one in question should be the narrower one, i.e. the D 1 (2420) (Γ = 27MeV), the D 1 (243...