Mixing angle between ³P₁ and ¹P₁ states in heavy axial vector mesons within the QCD sum rules framework

2024/08/15 by T. M. Aliev, Aliev, T. M., S. Bilmiş +3
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.2408.08014

openalex publication_date 2024/08/15 · openalex created_date 2025/01/03 · openalex updated_date 2026/07/28

Abstract

In this study, we calculate the mixing angles between the axial-vector mesons D_1(s1) - D_1(s1)^′ and B_1(s1) - B_1(s1)^′ using the QCD sum rules approach. Our results are θ₁ = 28.2 ± 0.6^∘, θ₂ = 26.6 ± 0.6^∘, θ₃ = 38.6 ± 0.1^∘, and θ₄ = 38.5 ± 0.1^∘. These values are in good agreement with the predictions of Heavy Quark Effective Theory, particularly for the mixing angle θ= 35.3^∘, and are compatible with several existing results in the literature. The predicted mixing angles can be tested through the analysis of semileptonic decays such as B_c → B₁ ℓ ν, B_c → B_s1⁰ ℓ ν, B_s → D_s1 ℓ ν, and B_s → D_s1^′ ℓ ν, which can be investigated at experimental facilities such as LHCb and Belle II.

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