Mass spectrum and strong decays of strangeonium in a constituent quark model *

Abstract

In this work we calculate the mass spectrum of strangeonium up to the multiplet within a nonrelativistic linear potential quark model. Furthermore, using the obtained wave functions, we also evaluate the strong decays of the strangeonium states with the model. Based on our successful explanations of the well established states , , , , and , we further discuss the possible assignments of strangeonium-like states from experiments by combining our theoretical results with observations. It is found that some resonances, such as and , listed by the Particle Data Group, and and , newly observed by BESIII, may be interpreted as strangeonium states. The possibility of as a candidate for or cannot be excluded. We expect our results to provide useful references for looking for the missing states in future experiments.

Study of light tetraquark spectroscopy

“…The f 0 (1370) is assigned to be the 1 3 P 0 ss state by a recently quark model study of ss meson mass spectrum [6], which is consistent with quark model mass spectrum studies [3][4][5] but conflict with the experimental conclusion that the f 0 (1370) decays mostly into pions. Actually, since the average mass of the f 0 (1370) is from 1200 MeV to 1500 MeV [23], the broad f 0 (1370) resonance may correspond to two different states, each with the nn or ss content.…”

“…However, the 1 3 P 0 state is always the lightest state in the three 1 3 P J states (J = 0, 1, 2) in potential model studies [2][3][4][5][6], which is confirmed in the observation of the χ cJ (1P ) and χ bJ (1P ) for charmonium and bottomonium mesons respectively. Since the mass splitting between χ c0 (1P ) and χ c2 (1P ) is around 150 MeV, and the mass splitting between χ b0 (1P ) and χ b2 (1P ) is around 50 MeV [23], one may conclude that the 1 3 P 0 nn and ss states should be obviously lighter than 1 3 P 2 nn and ss states which are widely accepted as the f 2 (1270) and f 2 (1525) respectively [8].…”

“…Low-lying baryons and mesons, even for the light quark sector (with the exception of the would-be Goldstone bosons of the chiral symmetry breaking, firstly the pions), can be reasonably described in non-relativistic quark models (NQM), where the interaction of constituent quarks is interpreted in terms of potentials which are usually phenomenologically motivated [1]. Theoretical predictions for meson mass spectrum can be found in [2][3][4][5][6]. Most L = 0 and 1 meson nonets in NQM can be easily associated with the well established experimental candidates, with reasonable flavor symmetry breaking and binding assumptions, except for the scalar 3 P 0 nonet for which there are too many observed candidates [7].…”

Mass spectra and strong decays of charmed and charmed-strange mesons

“…It should be mentioned that we cannot obtained stable solutions for some states due to the singular behavior of 1/r 3 in the spin-dependent potentials. To overcome the singular behavior, following the method of our previous works [121][122][123][124][125], we introduce a cutoff distance r c in the calculation. Within a small range r ∈ (0, r c ), we let 1/r 3 = 1/r 3 c .…”

Electromagnetic form factors of $Λ$ hyperon in the vector meson dominance model and a possible explanation of the near-threshold enhancement of the $e^+e^- \to Λ\barΛ$ reaction

“…Yet, the φ(2170) resonance is not taken into account in the present work, 1 since the experimental information of it is still diverse, and the measured mass and width of φ(2170) resonance are controversial [27][28][29][30][31][32][33][34][35]. Indeed, there have also been different theoretical explanations for φ(2170) resonance [36][37][38][39][40][41][42][43][44][45][46][47][48][49][50].…”