تقرير
Finite mass corrections for B -> D(*), D** \ell \nu decays in the Bakamjian-Thomas relativistic quark model
| العنوان: | Finite mass corrections for B -> D(*), D** \ell \nu decays in the Bakamjian-Thomas relativistic quark model |
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| المؤلفون: | Yaouanc, A. Le, Oliver, L., Raynal, J. -C. |
| المصدر: | Phys. Rev. D 90, 114014 (2014) |
| سنة النشر: | 2014 |
| المجموعة: | High Energy Physics - Phenomenology |
| مصطلحات موضوعية: | High Energy Physics - Phenomenology |
| الوصف: | The Bakamjian-Thomas relativistic quark model for hadron current matrix elements, while non-covariant at finite mass, is successful in the heavy quark limit : form factors are covariant and satisfy Isgur-Wise scaling and Bjorken-Uraltsev sum rules. Motivated by the so-called "1/2 vs. 3/2 puzzle" in B decays to positive parity D**, we examine the implications of the model at finite mass. In the elastic case 1/2^- -> 1/2^-, the HQET constraints for the O(1/m_Q) corrections are analytically fulfilled. A number of satisfying regularities is also found for inelastic transitions. We compute the form factors using the wave functions given by the Godfrey-Isgur potential. For 1/2^- \to 3/2^+ the departures from the heavy quark limit are small, but we find a strong enhancement in 1/2^- -> 1/2^+ (for 0^- -> 0^+). This enhancement is linked to a serious difficulty of the model at finite mass for the inelastic transitions, namely a violation of the HQET constraints at zero recoil formulated by Leibovich et al. These are nevertheless satisfied in the non-relativistic limit for the light quark. We conclude that these HQET rigorous constraints are crucial in the construction of a sensible relativistic quark model of inelastic form factors. Comment: 27 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevD.90.114014 |
| URL الوصول: | http://arxiv.org/abs/1407.1152 |
| رقم الأكسشن: | edsarx.1407.1152 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevD.90.114014 |
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