Fixing the vector coupling constant g_ρ= 5.0 in the NJL model and final-state interactions in processes ρ→ e⁺e^-[μ⁺μ^-], ρ→ π⁺π^-, τ→ π^-π⁰ν_τ, and e⁺e^-→π⁺π^-

2020/11/04 by M. K. Volkov, A. B. Arbuzov, Volkov, M. K. +5
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2011.02469

openalex publication_date 2020/11/04 · openalex created_date 2020/11/09 · openalex updated_date 2026/07/28

Abstract

The possibility to use the width of the decay ρ→ e⁺e^- to fix the input parameter g_ρ=5.0 of the SU(2) × SU(2) chiral-symmetric Nambu--Jona-Lasinio model is discussed. It is shown that for a consistent simultaneous description of the processes ρ→ e⁺e^-, ρ→ π⁺π^-, τ^- → π^-π⁰ ν_τ, and e⁺e^- → π⁺π^- can be constructed. Taking into account the interaction of pions in the final state appears to be important. The obtained theoretical results for the considered processes are in a satisfactory agreement with experimental data.

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