arXiv subjects
Publications and source records attributed to H. Mehraban.
We study the three-body baryonic B decay $\bar{B}^{0}_{s}\rightarrow p\barΛ K^{-}$ within the framework of the pole model via the baryonic $Λ_{b}$ pole. In our calculation, we require the strong coupling constant $g_{Λ_{b}B_{s}Λ}$ and investigate if $g_{Λ_{b}B_{s}Λ}=10.49\pm1.57$ is adopted, the branching ratio agrees with the experimental result, reported by the LHCb collaboration.
X (3872) because of its mass that is just below D^0 D-^0* threshold and its quantum number j^pc=1^++ can be considered as a weakly bound molecule. It can be regarded as a non-relativistic system depicting universality and compositeness. Physical observables are called universal if they are insensitive to the range and other details of short-range interaction. Weinberg introduced compositeness criterion to classify a two-body composite system as the sum, with different weights, of a compact core and two distinct parts.
We interest to investigate of the three-body decays of $B^{0}$ meson to $ ϕπ^+π^- $ and $B_s^{0}$ meson to $ ϕπ^{+}π^{-}$. Hadronic three-body decays include both nonresonant and resonant contributions, on the basis of the factorization hypothesis. In this analysis, resonant structure is exhibited only in the $ π^+π^-$ channel which the resonant contribution can be described by S-wave, P-wave and D-wave $ π^+π^-$ contribution from $ f_0(980)$, $ ρ$ and $f_2$ mesons and other possible resonance. Therefore, the theoretical values at the scale $ m_b$ are $(1.69 \pm 0.19 )\times10^{-7}$ and $(3.28\pm 0.17 )\times10^{-6}$, while the experimental results of them are $(1.82 \pm 0.25 )\times10^{-7}$ and $(3.48\pm 0.23 )\times10^{-6}$, respectively. Comparing computation analysis values with experimental values show that our results at the scale $μ_b $ are in agreement with them.
The relativistic problem of spin- fermions subject to vector hyperbolic (kink-like) potential tanh (kx) is investigated by using the parametric Nikiforov-Uvarov method. The energy eigenvalue equation and the corresponding normalized wave functions are obtained in terms of the Jacobi polynomials for x>0 and x<0 cases.