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arXiv · 1704.01763

Interference phenomena in the decay $D^+_s\toηπ^0π^+$ induced by the $a^0_0(980)-f_0(980)$ mixing

N. N. Achasov·G. N. Shestakov
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Abstract

Using the data on the decay $D^+_s\to f_0(980)π^+\to K^+K^-π^+$, we estimate the amplitude of the process $D^+_s\to\left[f_0(980)\to (K^+K^-+K^0\bar K^0)\to a^0_0(980)\right]π^+\toηπ^0π^+$, caused by the mixing of $a^0_0(980)$ and $f_0(980)$ resonances that breaks the isotopic invariance due to the $K^+$ and $K^0$ meson mass difference. Effects of the interference of this amplitude with the amplitudes of the main mechanisms responsible for the decay $D^+_s \toηπ^0π^+$ are analyzed. As such mechanisms, we examine the transition $D^+_s\toηρ^+\toηπ^0π^+$, which is observed in experiment, and the possible transition $D^+_s\to\left(a^0_0(980) π^++a^+_0(980)π^0\right)\toηπ^0π^+$. It is shown that the rapidly varying phase of the $a^0_0(980)-f_0(980)$ transition amplitude strongly influences on the interference curves.

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N. N. Achasov, G. N. Shestakov. 2017-08-26. Interference phenomena in the decay $D^+_s\toηπ^0π^+$ induced by the $a^0_0(980)-f_0(980)$ mixing. https://doi.org/10.1103/physrevd.96.036013

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