Triangle singularity enhancing isospin violation in Ds+→π+π0f0(980)$D_s^ + \to {\pi ^ + }{\pi ^0}{f_0}(980)$ and B¯s0→J/ψπ0f0(980)$\overline B _s^0 \to J/\psi {\pi ^0}{f_0}(980)$ decays

oleh: Liang Wei-Hong, Sakai S., Xie Ju-Jun, Oset E.

Format: Article
Diterbitkan: EDP Sciences 2019-01-01

Deskripsi

We investigate isospin violation in the B¯s0→J/ψπ0a0(980)(f0(980))$\overline B _s^0 \to J/\psi {\pi ^0}{a_0}(980)({f_0}(980))$ and Ds+→π+π0a0(980)(f0(980))$D_s^ + \to {\pi ^ + }{\pi ^0}{a_0}(980)({f_0}(980))$ reactions, which proceed via a triangle mechanism. We show that the mechanism develops a singularity around the π0f0(980) or π0a0(980) invariant mass of 1420 MeV where the π0f0 and π0a0 decay modes are magnified and also the ratio of π0f0 to π0a0 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 a0 – f0 mixing in particular and shed further light into the nature of the low lying scalar mesons.