a 0 (980)− f 0 (980) mixing in χ c1 → π 0 f 0 (980)→ π 0 π + π − and χ c1 → π 0 a 0 (980)→ π 0 π 0 η

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

“…[5], showing that quantitative agreement with the experimental measurement of this mixing, also performed by BESIII [7], can be obtained, revealing interesting aspects of the dynamics of this process and the importance of the coupled channels approach. It was shown that the neutral a 0 0 (980) can be produced in the isospin-allowed mode χ c1 → π 0 a 0 (980) → π 0 π 0 η while the isospin-violating production of f 0 (980) can be seen in the χ c1 → π 0 f 0 (980) → π 0 π + π − mode, where the proximity of both scalar resonances to the KK threshold, and the fact that both couple to the KK channel is responsible for the mixing.…”

“…In the end we also comment on the recent work of Ref. [5], where the same model was used to study the a 0 (980) − f 0 (980) mixing in the χ c1 → π 0 π 0 η and χ c1 → π 0 π + π − reactions, which was suggested in Ref. [6] and later measured by BESIII [7].…”

“…Indeed, in Ref. [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 ).…”

Observation of a00(980)−f0(980Ablikim1, Ачасов2, Ahmed3 et al. 2018Phys. Rev. Lett.324190View full textAdd to dashboardCite

“…Inspired by Refs. [14][15][16], a first quantitative calculation was carried out to examine the a 0 0 ð980Þ ↔ f 0 ð980Þ mixing with the isospin-violating processes of J=ψ →ϕf 0 ð980Þ→ ϕa 0 0 ð980Þ→ϕηπ 0 and χ c1 → π 0 a 0 0 ð980Þ → π 0 f 0 ð980Þ → π 0 π þ π − [17][18][19][20]. The central masses and couplings of a 0 0 ð980Þ → ηπ 0 =KK and f 0 ð980Þ → ππ=KK from various models [1][2][3][4] and different experimental results [21][22][23][24][25][26] were investigated.…”

a0(980)–f0(980) mixing in χc1 decay

“…[12,13] in order to study the χ c1 → π 0 f 0 (980) → π 0 π + π − and χ c1 → π 0 a 0 (980) → π 0 π 0 η decays (For detail analysis see Ref. [14]). There are three independent SU(3) scalars from φφφ; T race(φφφ), T race(φ)T race(φφ) and * e-mail: melahat.bayar@kocaeli.edu.tr , 0…”