We study the hadronic decays of the ground-state scalar charmonium $\chi_{c0}(IP)$, $J^{PC}=0^{++}$, in the framework of a $U(4)_r \times U(4)_l$ symmetric
linear sigma model with (pseudo)scalar and (axial-)vector mesons. The model fairly succeeds to describe the masses of charmed mesons and the (OZI-dominant) strong decays of open charmed mesons. Here we compute the (OZI-suppressed) decays of charmonium state $\chi_{c0}(1P)$. We calculate also the decay widths of this state into the scalar-isoscalar resonances $f_0(1370),\, f_0(1500)$ and a predominantly scalar glueball $f_0(1710)$. The results of measured decay widths are in good agreement with experiments. The unmeasured states and channels are interesting for the ongoing BESIII, Belle and BaBar experiments as well as the upcoming PANDA experiment at FAIR facility.
Decay of the scalar charmonium state $\chi_{c0}(IP)$ in the extended Linear Sigma Model
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Pre-published on:
October 02, 2021
Published on:
November 10, 2021
Abstract
DOI: https://doi.org/10.22323/1.385.0056
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Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.