Spectroscopy and flavor changing decays of B , B$_s$ mesons in a Dirac formalism

Shah, Manan; Patel, Bhavin; Vinodkumar, P. C.

doi:10.1103/PhysRevD.93.094028

Spectroscopy and flavor changing decays of B , B $_s$ mesons in a Dirac formalism

May 25, 2016

17 pages

Published in:

Phys.Rev.D 93 (2016) 9, 094028

Published: May 25, 2016

DOI:

10.1103/PhysRevD.93.094028

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Abstract: (APS)

In the framework of the relativistic independent quark model, the mass spectra and decay properties of B and Bs mesons are obtained using a Martin-like potential for the quark confinement. The predicted excited states are in good agreement with the experimental results as well as with the lattice QCD and other theoretical predictions. For instance, the B2(5747) as 1P32, B1(5721) as 1P31, and B0(5732) as 1P30 are identified. The spectroscopic parameters are used to calculate the electromagnetic transitions, pseudoscalar decay constants, hadronic decay widths, and leptonic decay widths. The present result for the decay constant, fB(1S)=188.56 MeV, is in good agreement with recent lattice results (UKQCD Collaboration, Fermilab) and comparable with the experimental value of (206.7±8.9). The pseudoscalar decay constant for the Bs meson obtained here, fBs(1S)=240.21 MeV, is in very good agreement with recent lattice QCD and QCD sum rule predictions. The predicted branching ratio for B+→τ+ντ (1.354×10-4) is in accordance with the value, (1.65±0.34)×10-4 reported by the Particle Data Group (PDG). The branching ratios of the rare decays Bs0→μ+μ- ((3.1±0.7)×10-9) and B0→μ+μ- (<6.3×10-10) as observed by the CMS and LHCb Collaborations very recently are in accordance with our predictions of 3.602×10-9 and 1.018×10-10, respectively. The Cabibbo-favored hadronic branching ratios of B0→D-π+ (3.724×10-3), B0→D*-π+ (3.475×10-3), and Bs→Ds-ρ+ (3.800×10-3) are in good agreement with the respective PDG values. The mixing parameters xq, χq for B0-B¯0 (xd=0.769, χd=0.1859) and Bs-B¯s (xs=26.41, χs=0.49929) are also found to be in excellent agreement with the PDG values of (0.770±0.008, 0.1862±0.0023) and (26.49±0.29, 0.499292±0.000016), respectively.

quark model: relativistic
hadron spectroscopy
flavor: violation
B: rare decay
B: leptonic decay
B: mass spectrum
B: decay constant
B: branching ratio
B/s: rare decay
B/s: leptonic decay

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Figures(0)

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