Decay properties of the1−+hybrid state

Abstract

Within the framework of the QCD sum rules, we consider the three-point correlation function, work at the limit q 2 ! 0 and m ! 0, and pick out the singular term $ 1 q 2 to extract the pionic coupling constants of the 1 Àþ hybrid meson. Then, we calculate the decay widths of different modes. The decay width of the S-wave modes b 1 , f 1 increases quickly as the hybrid meson mass and decay momentum increase. But for the low mass hybrid meson around 1.6 GeV, the P-wave decay mode is very important and its width is around 180 MeV, while the widths of and 0 are strongly suppressed. We suggest the experimental search of 1 ð1600Þ through the decay chains at the Beijing Spectrometer: J=c ðc 0 Þ ! 1 þ or J=c ðc 0 Þ ! 1 þ , where the 1 state can be reconstructed through the decay modes 1 ! ! þ À 0 or 1 ! f 1 ð1285Þ 0 . It is also interesting to look for 1 using the available BELLE/ BABAR data through the process e þ e

Faddeev fixed center approximation to $π\bar{K} K^*$ system and the $π_1(1600)$

“…This may be the origin of the π 1 (1600) resonance that is treated as a hybrid state in Refs. [29,30], a four-quark state in Ref. [31] or a molecule/four-quark mixing state in Ref.…”

“…Furthermore, the decay properties of the 1 −+ hybrid state are studied within the framework of the QCD sum rules in Ref. [29] and the chiral corrections to the π 1 (1600) state are calculated up to one-loop order in Ref. [30].…”

Towards the establishment of the light $J^{P(C)}=1^{-(+)}$ hybrid nonet

“…In Refs. [26] the decay properties are studied for π 1 and its non-strange isoscalar partner. In Ref.…”

Prediction of possible exotic states in the system *

“…In addition, the hybrid meson decay properties are studied within the framework of QCD sum rules in Refs. [25,26]. Besides, some works suggest that the isovector J P C = 1 −+ exotic state might be a fourquark state [27] or a molecule/four-quark mixing state [28].…”