Abstract
The mechanism of the four-quark production of the light scalar isovector four-quark state ${a}_{0}(980)$ in the $D\ensuremath{\rightarrow}\ensuremath{\eta}\ensuremath{\pi}{e}^{+}{\ensuremath{\nu}}_{e}$ decays is discussed. It is shown that the characteristic features of the shape of the $\ensuremath{\eta}\ensuremath{\pi}$ mass spectra expected in our scheme can serve as the indicator of the production mechanism and internal structure of the ${a}_{0}(980)$ resonance.
Highlights
INTRODUCTIONSemileptonic decays of D and B mesons into eþνe and a pair of pseudoscalar mesons are a good laboratory for studying the quark structure of light scalar mesons [1,2,3,4,5,6]
It is shown that the characteristic features of the shape of the ηπ mass spectra expected in our scheme can serve as the indicator of the production mechanism and internal structure of the a0ð980Þ resonance
We show that the characteristic features of the shape of the ηπ− and ηπ0 mass spectra expected in our scheme can serve as an indicator of the production mechanism and internal structure of the a0ð980Þ state
Summary
Semileptonic decays of D and B mesons into eþνe and a pair of pseudoscalar mesons are a good laboratory for studying the quark structure of light scalar mesons [1,2,3,4,5,6]. The first important experiments in this direction were carried out by the Collaborations BABAR, on the decay Dþs → f0ð980Þeþνe → KþK−eþνe [7], CLEO, on the decay Dþs → f0ð980Þeþνe → πþπ−eþνe [1,8], and BESIII, on the decays D0 → a0ð980Þ−eþνe → ηπ−eþνe [9], Dþ → a0ð980Þ0eþνe → ηπ0eþνe [9], Dþ → f0ð500Þeþνe → πþπ−eþνe [10], and Dþs → a0ð980Þ0eþνe → π0ηeþνe [11] Theoretical studies of these decays and phenomenological data processing have been carried out especially recently very intensively [2,3,4,5,12,13,14,15,16,17,18,19,20,21,22].
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