Final state interaction in B⁰→J/ψπ⁺π⁻decay

Abstract

In this research, we study three body non-leptonic decay B0 → J/ψπ+π− by introducing a two-meson distribution amplitude for the π+π− pair, such that the analysis is simplified into the one for two body decay. By applying the final state interaction, the branching ratio of resonance decay is calculated by generalized factorization and improved quantum chromodynamics factorization (QCDF). Our results are (2.96 ± 0.06) × 10−5 and (4.30 ± 0.02) × 10−5 in these approximations, respectively. In QCDF at an energy scale μ = 2mb, the obtained branching ratio is in agreement with available experimental data: (4.6 ± 0.9) × 10−5.

Weak decays of heavy hadrons into dynamically generated resonances

“…A different approach to B 0 into J/ψ and π + π − decay was followed in Ref. 76 using the QCD-improved factorization approach. Theoretical work on these issues is also done in Ref.…”

Pseudoscalar or vector meson production in non-leptonic decays of heavy hadrons

“…Non-leptonic and semi-leptonic weak decays of heavy hadrons have become an important source of information on hadron dynamics [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. A recent review on the subject can be seen in Ref.…”

S-wave resonance contributions to theB(s)0→JWang1, Li2, Wang3 et al. 2015Phys. Rev. D

“…The chiral unitary approach including final state interaction [26][27][28] was employed to investigate the B 0 (s) → J/ψπ + π − decays recently. The B 0 → J/ψπ + π − branching ratio was calculated in the QCD-improved factorization approach, where a two-meson distribution amplitude for the pion pair and final state interaction were considered [29]. In this section we derive the PQCD factorization formulas for the B 0 (s) → J/ψπ + π − decays with the inputs of the S-wave two-pion distribution amplitudes.…”