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arXiv 1602.06545hep-phhep-exnucl-th
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具有相同$L$的重-轻介子的近似简并度

Approximate degeneracy of heavy-light mesons with the same $L$

Takayuki Matsuki, Qi-Fang Lü, Yubing Dong, Toshiyuki Morii

摘要:

通过对重轻介子实验谱的仔细观察,发现具有相同角动量$L$的重轻介子几乎是简并的。给出了在相对论势模型中这种简并被破坏的程度的估计,并分析表明,最低阶哈密顿量和${\vec L}^{~2}$之间的换位子的期望值是重夸克质量$m_Q$的$1/m_Q$的量级.结果表明,重夸克系统的非相对论近似具有旋转对称性,因此具有相同$L$的态之间具有简并性。这一特征可以通过测量LHCb和即将到来的Belle II中$D/D_s/B/B_s$的高轨道和径向激发的重-轻介子谱来检验。

英文摘要:

Careful observation of the experimental spectra of heavy-light mesons tells us that heavy-light mesons with the same angular momentum $L$ are almost degenerate. The estimate is given how much this degeneracy is broken in our relativistic potential model, and it is analytically shown that expectation values of a commutator between the lowest order Hamiltonian and ${\vec L}^{~2}$ are of the order of $1/m_Q$ with a heavy quark mass $m_Q$. It turns out that nonrelativistic approximation of heavy quark system has a rotational symmetry and hence degeneracy among states with the same $L$. This feature can be tested by measuring higher orbitally and radially excited heavy-light meson spectra for $D/D_s/B/B_s$ in LHCb and forthcoming BelleII.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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