Study of singlet-triplet mixing via semileptonic decays

JIANG Yue; WANG Guo-Li; WANG Tian-Hong; JU Wan-Li

doi:10.1088/1674-1137/37/1/013101

Chinese Physics C> 2013, Vol. 37> Issue(1) : 013101 DOI: 10.1088/1674-1137/37/1/013101

Study of singlet-triplet mixing via semileptonic decays

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Abstract：
The singlet-triplet mixing of ¹P₁-³P₁ is studied via calculating the branching ratios of semileptonic decay B_s→D_s1lν and B→D₁lν by means of the instantaneous Bethe-Salpeter method. Special attention is paid to the relativistic corrections, since they are large for the P-wave states. Using the Mandelstam Formalism, we compute the transition form factors not only in the high-energy lepton end-point region but also in the full Q² region. And the non-perturbative QCD effects are taken care of in the overlapping integral over the relativistic wave functions of the initial and nial states.

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JIANG Yue, WANG Guo-Li, WANG Tian-Hong and JU Wan-Li. Study of singlet-triplet mixing via semileptonic decays[J]. Chinese Physics C, 2013, 37(1): 013101. doi: 10.1088/1674-1137/37/1/013101

JIANG Yue, WANG Guo-Li, WANG Tian-Hong and JU Wan-Li. Study of singlet-triplet mixing via semileptonic decays[J]. Chinese Physics C, 2013, 37(1): 013101. doi: 10.1088/1674-1137/37/1/013101 shu

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Received: 2012-03-02
Revised: 2012-04-05

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沈阳化工大学材料科学与工程学院沈阳 110142

Study of singlet-triplet mixing via semileptonic decays

Received Date: 2012-03-02

Accepted Date: 2012-04-05

Available Online: 2013-01-05

Abstract: The singlet-triplet mixing of ¹P₁-³P₁ is studied via calculating the branching ratios of semileptonic decay B_s→D_s1lν and B→D₁lν by means of the instantaneous Bethe-Salpeter method. Special attention is paid to the relativistic corrections, since they are large for the P-wave states. Using the Mandelstam Formalism, we compute the transition form factors not only in the high-energy lepton end-point region but also in the full Q² region. And the non-perturbative QCD effects are taken care of in the overlapping integral over the relativistic wave functions of the initial and nial states.

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Study of singlet-triplet mixing via semileptonic decays

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