Theoretical analysis of direct CP violation and differential decay width in $$D^\pm \rightarrow \pi ^\pm \pi ^+\pi ^-$$ D ± → π ± π + π - in phase space around the resonances $$\rho ^0(770)$$ ρ 0 ( 770 ) and $$f_0(500)$$ f 0 ( 500 )

Zhen-Hua Zhang, Ren Song, Yu-Mo Su, Gang Lü, Bo Zheng
2015 European Physical Journal C: Particles and Fields  
We perform a theoretical study on direct CP violation in D^±→π^±π^+π^- in phase space around the intermediate states ρ^0(770) and f_0(500). The possible interference between the amplitudes corresponding to the two resonances is taken into account, and the relative strong phase of the two amplitudes is treated as a free parameter. Our analysis shows that by properly chosen the strong phase, both the CP violation strength and differential decay width accommodate to the experimental results.
doi:10.1140/epjc/s10052-015-3631-2 fatcat:uy63tdn23zdptfg4tp3fqjvpzi