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arXiv · 0712.1288

Study of Structure of the Mass Gap between Two Spin Multiplets

Takayuki Matsuki·Toshiyuki Morii·Kazutaka Sudoh
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Abstract

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 $ΔM=M(0^+)-M(0^-)=M(1^+)-M(1^-)\approx Λ_{\rm Q}-m_q$ in the limit of heavy quark symmetry. We also study the case including $1/m_Q$ corrections.

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Takayuki Matsuki, Toshiyuki Morii, Kazutaka Sudoh. 2007-12-08. Study of Structure of the Mass Gap between Two Spin Multiplets. https://arxiv.org/abs/0712.1288

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