Inelastic final-state interactions in $B \rightarrow VV \rightarrow \pi K$ processes

Dong-Sheng Du; Xue-Qian Li; Zheng-Tao Wei; Bing-Song ZouE-mail address: duds@bepc3.ihep.ac.cn; weizt@hptc5.ihep.ac.cn

doi:doi:10.1007/s100500050207

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2023 Impact factor 2.6

Hadrons and Nuclei

Eur. Phys. J. A 4, 91-96

Inelastic final-state interactions in $B \rightarrow VV \rightarrow \pi K$ processes

Dong-Sheng Du^1,2 - Xue-Qian Li^1,3 - Zheng-Tao Wei² - Bing-Song Zou^2,4E-mail address: duds@bepc3.ihep.ac.cn;
weizt@hptc5.ihep.ac.cn

¹ CCAST(World Laboratory), P.O.Box 8730, Beijing 100080, China
² Institute of High Energy Physics, P.O.Box 918(4), Beijing 100039, China
³ Department of Physics, Nankai University, Tianjin 300071, China
⁴ Queen Mary and Westfield College, London E1 4NS, UK

Received: 13 August 1998 Communicated by V.V. Anisovich

Abstract
We study the final-state interactions in $B \rightarrow \pi K$ decays through $B \rightarrow VV \rightarrow \pi K$ processes where the inelastic rescattering occurs via single pion exchange. The next-to-leading order low-energy effective Hamiltonian and Bauer-Stech-Wirbel (BSW) model are used to evaluate the weak transition matrix elements and final-state interactions. We found that the final-state interaction effects in $B \rightarrow \rho K^* \rightarrow \pi K$ processes are significant. The Fleischer-Mannel relation for the Cabibbo-Kobayashi-Maskawa (CKM) angle $\gamma$ can be significantly modified.

PACS
13.25.Hw Decays of bottom mesons - 13.75.Lb Meson-meson interaction - 11.30.Er Charge conjugation, parity, time reversal, and other discrete symmetries - 13.40.Hq Electromagnetic decays