[Submitted on 14 Apr 2017] (cross-list from hep-ph)
Understanding , , and in a Friedrichs-model-like scheme
Zhi-Yong Zhou🇨🇳 · Zhiguang Xiao🇨🇳
We developed a Friedrichs-model-like scheme in studying the hadron resonance phenomenology and present that the hadron resonances might be regarded as the Gamow states produced by a Hamiltonian in which the bare discrete state is described by the result of usual quark potential model and the interaction part is described by the quark pair creation model. In a one-parameter calculation, the , , and state could be simultaneously produced with a quite good accuracy by coupling the three P-wave states, , , predicted in the Godfrey-Isgur model to the , , continuum states. At the same time, we predict that the state is at about 3902 MeV with a pole width of about 54 MeV. In this calculation, the state has a large compositeness. This scheme may shed more light on the long-standing problem about the general discrepancy between the prediction of the quark model and the observed values, and it may also provide reference for future search for the hadron resonance state.
- Comments:
- 5 pages, 1 figure; A mistake was found in the numerical calculation and the numerical results change a little. The qualitative discussion and conclusion not changed
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); Nuclear Theory (nucl-th)
- arXiv:
- 1704.04438 [pdf]