Speaker
Description
In this work we calculate the ratios of rates of the $Ξ_b$ nonleptonic and semileptonic decays into the $Ξ_c$(2790) and $Ξ_c$(2815) ($Ξ_c^{*}$) resonances. These resonances are dynamically generated from the pseudoscalar-baryon and vector-baryon interactions, whose mixing is done using the chiral Weinberg-Tomozawa (WT) meson-baryon interaction extended to four flavors. The first part of the decay is a weak decay that we analyse through their quark constituents where it is noted that only the heavy quarks ($b$ and $c$) participate in the interaction, leaving the light pair ($ds$) as spectators. This first decay then produces a meson-baryon pair that creates the $Ξ_c^{*}$ through the WT interaction. We then proceed to calculate the decay rates to $Ξ_c$(2790) and $Ξ_c$(2815) for both the nonleptonic and semileptonic cases and then calculate the ratios between them. We do this calculation nonrelativistically and fully relativistically and notice that, even though both approaches yield very different results in the rates, the ratios are very similar (difference on the order of 1%) in both cases. The absolute values of the decay rates are also successfully calculated by obtaining the rates between our decays and $Λ_b→πΛ_c$(2595)($Λ_c$(2625)) and $Λ_b→ν_l l Λ_c$(2595)($Λ_c$(2625)) for which there are experimental results and the momentum transfer is similar such we can cancel out the influence of the quark wave functions.
Based on arXiv:1701.06914 [hep-ph]
