Mass splittings inΣbandΣb*

2006/11/30 by Jonathan L. Rosner · 3 citations
Physics and Astronomy · #Particle physics theoretical and experimental studies #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-ex #hep-ph

paper · pdf · doi:10.1103/physrevd.75.013009

published as Phys.Rev.D75:013009,2007 · 6 pages, 1 figure, to be published in Phys. Rev. D (Brief Reports). Numerical corrections; some text added

arxiv created 2007/01/06 · openalex publication_date 2007/01/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The charged \ensuremathΣ_b and \ensuremathΣ_b^* states have recently been reported by the CDF Collaboration. The relation of their reported charge-averaged masses to expectations based on the quark model is reviewed briefly. A relation is proved among the \ensuremathΔI=1 electromagnetic mass differences \ensuremathΣ₁\ensuremath≡M(\ensuremathΣ⁺)\ensuremath-M(\ensuremathΣ^\ensuremath-), \ensuremathΣ₁^*\ensuremath≡M(\ensuremathΣ^*+)\ensuremath-M(\ensuremathΣ^*\ensuremath-), \ensuremathΣ_b1\ensuremath≡M(\ensuremathΣ_b⁺)\ensuremath-M(\ensuremathΣ_b^\ensuremath-), and \ensuremathΣ_b1^*\ensuremath≡M(\ensuremathΣ_b^*+)\ensuremath-M(\ensuremathΣ_b^*\ensuremath-). The relation is \ensuremathΣ_b1^*\ensuremath-\ensuremathΣ_b1=(m_s/m_b)(\ensuremathΣ₁^*\ensuremath-\ensuremathΣ₁), leading to the expectation \ensuremathΣ_b1^*\ensuremath-\ensuremathΣ_b1=0.40\ifmmode±\else\textpm\fi0.07 MeV.

Citations

• The Constituent Quark Model Revisited - Quark Masses, New Predictions for Hadron Masses and KN Pentaquark

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