Semileptonic decays $D\to \eta \pi e^{+}{\nu }_e$ in the $a_0(980)$ region

Abstract

The mechanism of the four-quark production of the light scalar isovector four-quark state $a_0(980)$ in the $D\to \eta \pi e^{+}{\nu }_e$ decays is discussed. It is shown that the characteristic features of the shape of the $\eta \pi$ mass spectra expected in our scheme can serve as the indicator of the production mechanism and internal structure of the $a_0(980)$ resonance.

arXiv comment11 pages, 11 figures, v2: clarifications added, version published in Phys. Rev. D

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Cited by in corpus (4)

• Observation of $D^{+}\to K_S^0{a}_0(980{)}^{+}$ in the amplitude analysis of $D^{+}\to K_S^0{\pi }^{+}\eta$
• Four-body Semileptonic Charm Decays $D\to P_1{P}_2{\ell }^{+}{\nu }_{\ell }$ Based on SU(3) Flavor Analysis
• Study of the light scalar $a_0(980)$ through the decay $D^0\to a_0(980{)}^{-}{e}^{+}{\nu }_e$ with $a_0(980{)}^{-}\to \eta {\pi }^{-}$
• Roles of $a_0(980)$ and $a_0(1710)$ in Cabibbo-suppressed process $D^{+}\to {\pi }^0{\pi }^{+}\eta$