Nonresonant three-body decays of B to J/ψππ

Physics Department, Semnan University - P.O.Box 35195-363, Semnan, Iran

^(a) b_mohammadi@sun.semnan.ac.ir
^(b) hmehraban@semnan.ac.ir

Received: 3 August 2012
Accepted: 22 October 2012

Abstract

We investigate the nonresonant three-body decays of the B meson to J/ψπ⁺π⁻ and J/ψπ⁺π⁰ final-states mesons. There are a tree and a penguin diagram for these decays modes in the naive factorization approach. The transition matrix element of is factorized into a form factor multiplied by the J/ψ decay constant. We assume that the J/ψ meson remains stationary and the two pion mesons move back to back. We calculate the branching ratio of the and decays and obtain 1.09 × 10⁻⁵ and 5.45 × 10⁻⁶, respectively, while the experimental results are less than 1.2 × 10⁻⁵ and 7.3 × 10⁻⁶, respectively. The branching ratios obtained in our model, are compatible with the upper limits of the experimental results.