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Spectroscopic Properties of $\mathit {B}$ and $\mathit {B_s}$ meson using Screened Potential

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arxiv 2201.01120 v2 pith:46S5BBJJ submitted 2022-01-04 hep-ph

classification hep-ph
keywords mesonpotentialstatesdecaymassesmathitaaijadded
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Inspired by the recent observations of $B$ and $B_s$ meson states at LHCb\cite{Aaij:2020hcw} we calculate the masses of ground, orbitally, and radially excited states. Also, we estimate the mixing parameters, decay constant, leptonic decay width, and corresponding branching ratios, as well as electromagnetic transition widths. ${\cal{O}}\left(\frac{1}{m}\right)$ and ${\cal{O}}(p^{10})$ relativistic corrections to potential and kinetic energy terms have been added to the Hamiltonian. The screening potential employed is solved by applying the gaussian wave function. The estimated masses are used to construct the Regge trajectories, which help us in the association of some newly observed states to $B$ and $B_s$ meson family. Overall, the results from the present study are in fair agreement with available experimental and theoretical studies.

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Cited by 1 Pith paper

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  1. Relativistic effects in $\mbox{M1}$ radiative decays of heavy-light mesons

    hep-ph 2025-07 conditional novelty 5.0 of 10

    A relativistic potential model, with all parameters taken from meson masses, predicts M1 radiative widths for D and D_s mesons and gives a B_s hyperfine splitting close to the new CMS measurement.

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