Nonperturbative hyperfine contribution to theb1andh1meson masses

2001/05/31 by А. М. Бадалян, A. M. Badalian, B. L. G. Bakker · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.64.114010

published as Phys.Rev. D64 (2001) 114010 · 22 pages RevTeX

arxiv created 2001/07/26 · openalex publication_date 2001/11/07 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Because of the nonperturbative contribution to the hyperfine splitting the mass of the n¹P₁ state is strongly correlated with the center of gravity M_cog(n³P_J) of the n³P_J multiplet: M(n¹P₁) is less than M_cog(n³P_J) by about 40 MeV (20 MeV) for the 1P(2P) state. For b₁(1235) the agreement with experiment is reached only if a₀(980) belongs to the 1³P_J multiplet. The predicted mass of b₁(2¹P₁) is \ensuremath≈1620MeV. For the isoscalar meson a correlation between the mass of h₁(1170) [h₁(1380)] and M_cog(1³P_J) composed from light (strange) quarks also takes place.

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