Abstract
The strong decays of the 5^1S_0q{bar{q}} states are evaluated in the ^3P_0 model with two types of space wave functions. Comparing the model expectations with the experimental data for the pi (2360), eta (2320), X(2370), and X(2500), we suggest that the pi (2360), eta (2320), and X(2500) can be assigned as the members of the 5^1S_0 meson nonet, while the 5^1S_0 assignment for the X(2370) is not favored by its width. The 5^1S_0 kaon is predicted to have a mass of about 2418 MeV and a width of about 163 or 225 MeV.
Highlights
In the framework of quantum chromodynamics (QCD), apart from the ordinary qqstates, other exotic states such as glueballs, hybrids, and tetraquarks are permitted to exist in meson spectra
We have discussed the possible members of the 51 S0 meson nonet by analysing the masses and calculating the strong decay widths in the 3 P0 model with the simple harmonic oscillator (SHO) and relativized quark model (RQM) meson space wave functions
110.41c2 16.15c2 4.73c2 2.22s2 7.33c2 − 42.31cs + 61.07s2 5.22c2 − 5.22cs + 1.30s2 0.00006c2 − 0.009cs + 0.36s2 0.95c2 + 9.21cs + 22.38s2 0.002c2 + 0.65cs + 3.11s2 2.59c2 + 21.80cs + 45.82s2 67.47c2 5.52c2 0.59c2 0.0002s2 0.0007c2 − 0.19cs + 13.13s2 0.04c2 + 0.81cs + 3.97s2 1.02c2 6.14c2 6.80c2 2.33c2 3.87c2 1.41s2 4.94c2 + 1.86cs + 0.18s2 0.79c2 − 6.84cs + 14.88s2 34.57c2 19.70c2 0.07c2 − 2.30cs + 18.79s2 3.71c2 − 6.82cs + 0.01s2 0.11c2 + 1.69cs + 6.39s2 305.01c2 − 27.66cs + 195.00s2 the mixing angle φ, the assignment of the X (2370) as the 51 S0 isoscalar state is not favored by its width. Both the η(2320) and X (2500) widths can be reproduced with −0.5 ≤ φ ≤ 0.45 radians for the SHO wave functions or −0.69 ≤ φ ≤ 0.59 for the RQM wave functions
Summary
In the framework of quantum chromodynamics (QCD), apart from the ordinary qqstates, other exotic states such as glueballs, hybrids, and tetraquarks are permitted to exist in meson spectra. Meson nonets, respectively, one can naturally expect that the π(2360), η(2320), and X (2500) could belong to the 51 S0 nonet based on their masses. Both the mass and width of a resonance are related to its inner structure. The masses of the π(2360), η(2320), and X (2500) are consistent with them belonging to the 51 S0 meson nonet, their decay properties need to be compared with model expectations in order to identify the possible candidates for the 51 S0 meson nonet.
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