Structure of mass gap between two spin multiplets

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• 作者：Takayuki Matsuki ; Toshiyuki Morii ; Kazutaka Sudoh
• 关键词：Potential model ; Spectroscopy ; Heavy mesons
• 刊名：Physics Letters B
• 出版年：2008
• 出版时间：24 January 2008
• 年：2008
• 卷：659
• 期：3
• 页码：593-597
• 全文大小：217 K

文摘

Studying our semirelativistic potential model and the numerical results, which succeeds in predicting and reproducing recently discovered higher resonances of D, D_s, B, and B_s, we find a simple expression for the mass gap between two spin multiplets of heavy-light mesons, (0⁻,1⁻) and (0⁺,1⁺). The mass gap between chiral partners defined by ΔM=M(0⁺)−M(0⁻) and/or M(1⁺)−M(1⁻) is given by ΔM=M(0⁺)−M(0⁻)=M(1⁺)−M(1⁻)≈Λ_Q−m_q in the limit of heavy quark symmetry, and including 1/m_Q corrections, we have ΔM≈Λ_Q−m_q+(1.28×10⁵+4.26×10²m_q)/m_Q with , a light quark mass m_q, and a heavy quark mass m_Q. This equation holds both for D and D_s heavy mesons. Our model calculations for the B and B_s also follow this formula.