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Mixing angle between $^3P_1$ and $^1P_1$ in HQET

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arxiv 1001.4248 v2 pith:TXULBWIP submitted 2010-01-24 hep-ph hep-exnucl-th

classification hep-phhep-exnucl-th
keywords circmixingangleclaimgeneralheavyheavy-lighthqet
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abstract

Some claim that there are two independent mixing angles ($\theta = 35.3^\circ$, $-54.7^\circ$) between $^3P_1$ and $^1P_1$ states of heavy-light mesons in heavy quark symmetric limit, and others claim there is only one ($\theta = 35.3^\circ$). We clarify the difference between these two and suggest which should be adopted. General arguments on the mixing angle between $^3L_L$ and $^1L_L$ of heavy-light mesons are given in HQET and a general relation is derived in heavy quark mass limit as well as that including the first order correction in $1/m_Q$.

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Cited by 1 Pith paper

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  1. Phenomenology of $D_{s1}$ mesons radiative transitions

    hep-ph 2025-05 conditional novelty 7.0 of 10

    Relativistic spin-dependent corrections to the electric dipole operator reverse the expected radiative width hierarchy of the D_s1 mesons.

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