6533b851fe1ef96bd12aa0f0

RESEARCH PRODUCT

Triangle singularity enhancing isospin violation in $D_s^ + \to {\pi ^ + }{\pi ^0}{f_0}(980)$ and $\overline B _s^0 \to J/\psi {\pi ^0}{f_0}(980)$ decays

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description

We investigate isospin violation in the and reactions, which proceed via a triangle mechanism. We show that the mechanism develops a singularity around the π 0 f 0 (980) or π 0 a0 (980) invariant mass of 1420 MeV where the π 0 f 0 and π 0 a0 decay modes are magnified and also the ratio of π 0 f0 to π 0 a0 production, stressing the role of the triangle singularities as a factor to enhance isospin violation. The measurement of these reactions would bring further information into the role of triangle singularities in isospin violation and the a 0 – f 0 mixing in particular and shed further light into the nature of the low lying scalar mesons.