Semileptonic D0 and D+ decays as a probe of the a0(980) nature

Nikolay N. Ahasov; Alexey V. Kiselev

doi:10.1051/epjconf/201921203001

EPJ

a
b
c
d
e
ap
st
h
plus
ds
pv
ti
qt
am
n

Proceedings

Open Access

EPJ Web of Conferences 212, 03001 (2019)
https://doi.org/10.1051/epjconf/201921203001

Semileptonic D⁰ and D⁺ decays as a probe of the a₀(980) nature

Nikolay N. Ahasov¹^* and Alexey V. Kiselev¹^,2^**

¹ Sobolev Institute for Mathematics, Novosibirsk, 630090
² Novosibirsk State University, Novosibirsk, 630090

^* e-mail: achasov@math.nsc.ru
^** e-mail: kiselev@math.nsc.ru

Published online: 17 June 2019

Abstract

The $D^{+} \to d \bar{d} e^{+} v \to a_{0}^{0} (980) e^{+} ν \to π^{0} η e^{+} ν$ ${D^ + } \to d\bar d{e^ + }v \to a_0^0\left( {980} \right){e^ + }\nu {\rm{ }} \to {\pi ^0}\eta {e^ + }\nu$ and $D^{0} \to d \bar{u} e^{+} ν \to a_{0}^{-} (980) e^{+} ν \to π^{-} η e^{+} ν$ ${D^0} \to d\bar u{e^ + }\nu {\rm{ }} \to a_0^ - \left( {980} \right){e^ + }\nu {\rm{ }} \to {\pi ^ - }\eta {e^ + }\nu$ decays (with the charge conjugated ones) are the direct probe of the constituent two-quark components in the $a_{0}^{\pm} (980)$ $a_0^ \pm (980)$ and $a_{0}^{0} (980)$ $ a_0^0(980) $ wave functions. Recent BESIII experiment is the first step in experimental study of these decays. We suggest adequate formulas for the data analysis and present a variant of ηπ invariant mass distribution when a₀(980) has no constituent two-quark component at all.

© The Authors, published by EDP Sciences, 2019

This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.