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


ALIYEV T., BİLMİŞ S., Savci M.

Physical Review D, vol.111, no.1, 2025 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 111 Issue: 1
  • Publication Date: 2025
  • Doi Number: 10.1103/physrevd.111.014005
  • Journal Name: Physical Review D
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Chemical Abstracts Core, INSPEC, zbMATH, Nature Index
  • Middle East Technical University Affiliated: Yes

Abstract

In this study, we calculate the mixing angles between the axial-vector mesons D1(s1)-D1(s1)′ and B1(s1)-B1(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 Bc→B1ℓν, Bc→Bs10ℓν, Bs→Ds1ℓν, and Bs→Ds1′ℓν, which can be investigated at experimental facilities such as LHCb and Belle II.