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arXiv 1712.00239hep-ph
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计算$Ξ_b^- \to π^- (D_s^- ) \ Ξ_c^0 (2790) \left(Ξ_c^0 (2815) \right)$和$Ξ_b^- \to \barν_l l \ Ξ_c^0 (2790) \left(Ξ_c^0 (2815) \right)$衰变的比率和绝对速率

Calculation of the ratios and absolute rates of the $Ξ_b^- \to π^- (D_s^- ) \ Ξ_c^0 (2790) \left(Ξ_c^0 (2815) \right)$ and $Ξ_b^- \to \barν_l l \ Ξ_c^0 (2790) \left(Ξ_c^0 (2815) \right)$ decays

R. Pavao, W-H Liang, J. Nieves, E. Oset

摘要:

本文计算了$Ξ_b$非轻子和半轻子衰变到$Ξ_c$(2790)和$Ξ_c$(2815)($Ξ_c^*$)共振态的比率。这些共振是从赝标重子和矢量重子相互作用中动态产生的,其混合是使用扩展到四种口味的手征Weinberg-Tomozawa(WT)介子-重子相互作用完成的。衰变的第一部分是弱衰变,我们通过它们的夸克成分进行分析,注意到只有重夸克($b$和$c$)参与相互作用,留下轻对($ds$)作为观众。第一次衰变产生一对介子-重子,通过WT相互作用产生$Ξ_c^*$。然后,我们继续计算非轻子和半轻子情况下$Ξ_c$(2790)和$Ξ_c$(2815)的衰变率,然后计算它们之间的比率。我们在非相对论和完全相对论的情况下进行计算,注意到,尽管两种方法在速率上产生的结果略有不同,但两种情况下的比值非常相似(相差约1%)。由于动量转移相似,我们可以消除夸克波函数对衰变率的影响,通过计算我们的衰变与已有实验结果的$Λ_b \to π(D_s ) \ Λ_c (2595) \left(Λ_c (2625) \right)$和$Λ_b \to \barν_l l \ Λ_c (2595) \left(Λ_c (2625) \right)$的衰变率,成功地计算了衰变率的绝对值.

英文摘要:

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 analyze 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 somewhat 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 $Λ_b \to π(D_s ) \ Λ_c (2595) \left(Λ_c (2625) \right)$ and $Λ_b \to \barν_l l \ Λ_c (2595) \left(Λ_c (2625) \right)$ for which there are experimental results, since the momentum transfer is similar such we can cancel out the influence of the quark wave functions in the ratios.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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