The newly observed $Υ(10753)$ as a tetraquark state in a chiral quark model with scalar nonet exchange

Abstract: Recently, Belle\uppercase\expandafter{\romannumeral2} Collaboration firstly reported a new resonance $\omega\chi_{bJ}$ in the processes of $$e^{{+}e^{-}} \rightarrow \omega\chi_{bJ}$$ at center-of-mass energies $\sqrt{s}=10.745$ GeV. Given the Born cross section similar with the previously reported $\Upsilon(10753)$, the new resonance $\omega\chi_{bJ}$ may have be $\Upsilon(10753)$. From the perspectives of traditional $\Upsilon(nS)$ meson and exotic tetraquark $b\bar{q}q\bar{b}$ state with the $J<sup>{PC}$ = $1<sup>{--}$, we tentatively investigate the $\Upsilon(10753)$ by solving Schr\"odinger equation in the framework of the chiral quark model. Numerical results for the meson show that the mass of $\Upsilon(5S)$ is up to 10.86 GeV and unsuitable for the candidate of $\Upsilon(10753)$. On the other hand, not only the two kinds of molecular structure ($b\bar{b}$-$q\bar{q}$, $b\bar{q}$-$q\bar{b}$) but also the \da~structure ($\bar{b}\bar{q}$-$qb$) are considered into our tetraquark calculation with the help of Gaussian expansion method. When a fully-channel coupling is performed using the real-scaling method (stabilization method), we get a stable resonance $<sup>1R_{1}(10770)$ ( $<sup>{2S+1}R_J$ ) with a great component of the diquark-antidiquark state. Combined with the mass and width of $<sup>1R_{1}(10770)$, it may be a good candidate for experimental $\Upsilon(10753)$. Besides, several resonance states ranging from 10.82 GeV to 10.96 GeV are obtained, which are expected to be further verified in future experiments.