Towards the assignment for the $4^1{S}_0$ meson nonet

Abstract

The strong decays of the $\pi (2070)$, $\eta (2010)$, $\eta (2100)$, $\eta (2190)$, and $\eta (2225)$ as the $4^1{S}_0$ quark-antiquark states are investigated in the framework of the ${}^3{P}_0$ meson decay model. It is found that the $\pi (2070)$, $\eta (2100)$, and $\eta (2225)$ appear to be the convincing $4^1{S}_0$ $q\bar{q}$ states while the assignment of the $\eta (2010)$ and $\eta (2190)$ as the $4^1{S}_0$ isoscalar states is not favored by their widths. In the presence of the $\pi (2070)$, $\eta (2100)$, and $\eta (2225)$ being the members of the $4^1{S}_0$ meson nonet, the $4^1{S}_0$ kaon is phenomenologically determined to has a mass of about 2153 MeV. The width of this unobserved kaon is expected to be about 197 MeV in the ${}^3{P}_0$ decay model.

15 pages, 5 figures, version accepted for publication in Physical Review D

References in corpus (8)

• Constituent quark model study of the meson spectra
• Strong decays of charmed baryons
• $D_{sJ}(2860)$ and $D_{sJ}(2715)$
• Y(2175): Distinguish Hybrid State from Higher Quarkonium
• Canonical Interpretation of the D_{sJ}(2860) and D_{sJ}(2690)
• A Canonical Ds(2317)?
• $X(1835)$ and $\eta (1760)$ observed by the BES Collaboration
• The $\eta (2225)$ observed by the BES Collaboration

Cited by in corpus (2)

• B_{s1}(5830) and B_{s2}^*(5840)
• Newly observed D_{sJ}(3040) and the radial excitations of P-wave charmed-strange mesons