Abstract
In this work we construct 36 tetraquark configurations for the $1S$-, $1P$-, and $2S$-wave states, and make a prediction of the mass spectrum for the tetraquark $ss\bar{s}\bar{s}$ system in the framework of a nonrelativistic potential quark model without the diquark-antidiquark approximation. The model parameters are well determined by our previous study of the strangeonium spectrum. We find that the resonances $f_0(2200)$ and $f_2(2340)$ may favor the assignments of ground states $T_{(ss\bar{s}\bar{s})0^{++}}(2218)$ and $T_{(ss\bar{s}\bar{s})2^{++}}(2378)$, respectively, and the newly observed $X(2500)$ at BESIII may be a candidate of the lowest mass $1P$-wave $0^{-+}$ state $T_{(ss\bar{s}\bar{s})0^{-+}}(2481)$. Signals for the other $0^{++}$ ground state $T_{(ss\bar{s}\bar{s})0^{++}}(2440)$ may also have been observed in the $\phi\phi$ invariant mass spectrum in $J/\psi\to\gamma\phi\phi$ at BESIII. The masses of the $J^{PC}=1^{--}$ $T_{ss\bar{s}\bar{s}}$ states are predicted to be in the range of $\sim 2.44-2.99$ GeV, which indicates that the $\phi(2170)$ resonance may not be a good candidate of the $T_{ss\bar{s}\bar{s}}$ state. This study may provide a useful guidance for searching for the $T_{ss\bar{s}\bar{s}}$ states in experiments.
Highlights
From the Review of Particle Physics (RPP) of Particle Data Group [1], above the mass range of 2.0 GeV one can see that there are several unflavored qqisoscaler states, such as f0ð2200Þ, f2ð2150Þ, f2ð2300Þ, f2ð2340Þ, etc., dominantly decaying into φφ, ηη, and/or KKfinal states
We find that the resonances f0ð2200Þ and f2ð2340Þ may favor the assignments of ground states TðssssÞ0þþ ð2218Þ and TðssssÞ2þþ ð2378Þ, respectively, and the newly observed Xð2500Þ at BESIII may be a candidate of the lowest mass 1P-wave 0−þ state TðssssÞ0−þ ð2481Þ
Our predictions of the Tssssmass spectrum with the HOEM are given in Table III, where the components of different configurations for a physical state can be seen
Summary
From the Review of Particle Physics (RPP) of Particle Data Group [1], above the mass range of 2.0 GeV one can see that there are several unflavored qqisoscaler states, such as f0ð2200Þ, f2ð2150Þ, f2ð2300Þ, f2ð2340Þ, etc., dominantly decaying into φφ, ηη, and/or KKfinal states. The narrowness of Tcccc ̄ ð6900Þ suggests that there should be more profound mechanism that “slows down” the fall-apart decays of such a tetraquark system This may be related to the properties of the static potential of heavy quark systems, more direct evidences are still needed to disentangle the dynamical features between the heavy and light flavor systems. There have been some predictions of the Tssssspectrum within the quark model [3,4,10] and QCD sum rules [17,18,19,20], most of the studies focus on some special states in a diquark-antidiquark picture. We intend to provide a systematical calculation of the mass spectrum of the 1S, 1P, and 2S-wave Tssssstates without the diquark-antidiquark approximation in a nonrelativistic potential quark model (NRPQM).
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
