Phenomenological studies on (B)over-bar0 → [K- π+]S/V[π+ π-]V/S → K- π+π+π- decay

Within the quasi-two-body decay model, we study the localized CP violation and branching fraction of the four-body decay (B) over bar (0) -> [K- pi(+)](S/V)[pi(+) pi(-)](V/S) -> K- pi(+)pi(+)pi(-) when the and K-pi(+) and pi(-)pi(+) pair invariant masses are 0.35 < m(K-pi+) < 2.04 GeV and 0 < m(K-pi+) < 1.06 GeV, with the pairs being dominated by the, (K) over bar (0)*(700)(0), (K) over bar (0)*(892)(0), (K) over bar (0)*(1410)0, (K) over bar (0)*(1430) and (K) over bar (0)*(1680)0, and f(0)(500), rho(0)(770), omega(782) and f(0)(980) resonances, respectively. When dealing with the dynamical functions of these resonances, f(0)(500), rho(0)(770), f(0)(980)and (K) over bar (0)*(1430) are modeled with the Bugg model, Gounaris-Sakurai function, Flatte formalism and LASS lineshape, respectively, while the others are described by the relativistic Breit-Wigner function. Adopting the end point divergence parameters rho(a) is an element of[0,0.05] phi(A) is an element of[0, 2 pi], our predicted results are A(CP)((B) over bar (0) -> K- pi(+)pi(+)pi(-)) is an element of [-0.365, 0.447] B((B)over bar>(0) -> K- pi(+)pi(+)pi(-)) is an element of [6.11, 185.32] x 10(-8),