$$f_0(500)$$ f 0 ( 500 ) , $$f_0(980)$$ f 0 ( 980 ) , and $$a_0(980)$$ a 0 ( 980 ) production in the $$\chi _{c1} \rightarrow \eta \pi ^+\pi ^-$$ χ c 1 → η π + π - reaction

Theoretical description of the J/ψ→η(η′)hWu1, Sakai2, Oset3 2019Phys. Rev. DSelf Cite11190View full textAdd to dashboardCite

“…For this we rely on the work done in Ref. [46], where the experimental data on the χ c1 → ηπ þ π − [47] were studied and the a 0 ð980Þ and f 0 ð980Þ signals were well reproduced in the ηπ and π þ π − mass distributions, respectively. The basic assumption done in Ref.…”

Production and mixing of scalar mesons in $η_ c and χ_ c 1$ decays

“…[5] we have also added that this is in fact expected from large N c counting, since each time one takes a trace a factor 1/N c is introduced [9,10]. Besides, if one does not include the η 1 − which we do through the inclusion of η − η mixing, in order to relate the φ matrix with the qq matrix [3] − but instead take η → η 8 and no η , then Trace(φ ) = 0 and we are left only with the structure Trace(φ φ φ ).…”

“…Finally, the T matrix will give us the scattering and transition amplitudes between each channel, and isospin symmetry is used to obtain the amplitude of channels with different charges [3].…”

“…[3,4] where the chiral unitary approach and SU(3) symmetry were used to describe the production of these three scalars in the BESIII experiment and to make predictions for the analogous reaction with η c instead of χ c1 . We will make a short discussion on SU(3) scalars and compare the treatment of the amplitude and mass distribution used to describe each decay.…”

The decays of $$\bar{B}^0$$ B ¯ 0

“…One should not use the model for higher invariant masses. With this perspective we will have to admit uncertainties in the mass distributions, particularly at invariant masses higher than 1200 MeV[31][32][33].…”