2016/04/30 by Tianhong Wang, Yue Jiang, Han Yuan +2
Physics and Astronomy · #Amplitude #Branching (polymer chemistry) #Branching fraction #Hadron #High-Energy Particle Collisions Research #Particle decay #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ex #hep-ph
paper · pdf · doi:10.1088/1361-6471/aa5f68
published as J. Phys. G: Nucl. Part. Phys. 44 (2017) 045004 · 26 pages, 12 figures, 17 tables
openalex created_date 2016/06/24 · arxiv created 2016/08/09 · openalex publication_date 2017/02/09 · arxiv updated 2021/11/05 · openalex updated_date 2026/08/05
Abstract In this paper we study the weak decays of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>J</mml:mi> <mml:mrow> <mml:mo stretchy="true">/</mml:mo> </mml:mrow> <mml:mi>ψ</mml:mi> </mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi mathvariant="normal">ϒ</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mn>1</mml:mn> <mml:mi>S</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:math> . The cases when the final mesons are pseudo-scalars or vectors are considered. Using the Bethe–Salpeter method, we calculate the hadronic transition amplitude and give the form factors. The energy spectra of leptons for the semi-leptonic channels are also presented for convenience. In the calculation of non-leptonic decays, the naive factorization is applied. And all types of such channels, namely, flavor-favored or suppressed and color-favored or suppressed, are calculated. Our results show that, for the semi-leptonic decay modes, the largest branching ratios are of the order of 10 −10 both for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>J</mml:mi> <mml:mrow> <mml:mo stretchy="true">/</mml:mo> </mml:mrow> <mml:mi>ψ</mml:mi> </mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi mathvariant="normal">ϒ</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mn>1</mml:mn> <mml:mi>S</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:math> decays, and the largest branching ratios of non-leptonic decays are of the order of 10 −9 for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>J</mml:mi> <mml:mrow> <mml:mo stretchy="true">/</mml:mo> </mml:mrow> <mml:mi>ψ</mml:mi> </mml:math> and 10 −10 for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi mathvariant="normal">ϒ</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mn>1</mml:mn> <mml:mi>S</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:math> .