Speaker
Description
The doubly charmed baryon, $\Xi_{cc}^{++}$, was first observed by
LHCb through the non-leptonic decay modes of $\Xi_{cc}^{++}\to\Lambda_{c}^{+}K^{-}\pi^{+}\pi^{+}$
and $\Xi_{c}^{+}\pi^{+}$. Following this discovery, researchers shifted
their focus to identifying other doubly charmed baryons, specifically
$\Xi_{cc}^{+}$ and $\Omega_{cc}^{+}$. In this study, we examine
the non-leptonic weak decays of doubly charmed baryons, denoted as
${\cal B}_{cc}\to{\cal B}_{c}P$, where ${\cal B}_{cc}$ represents
the doubly charmed baryons, specifically $(\Xi_{cc}^{++},\Xi_{cc}^{+},\Omega_{cc}^{+})$.
The notation ${\cal B}_{c}$ denotes the singly charmed baryons, specifically
$({\cal B}_{\bar{3}},{\cal B}_{6})$, while $P$ signifies the light
pseudoscalar. These terms are pertinent to the non-leptonic decay
modes under discussion. While the short-distance contributions can
be precisely estimated through theoretical calculations, addressing
the long-distance contributions for final-state-interaction effects
presents a significant challenge. In order to address this issue, we utilize the rescattering mechanism of final state interaction effects to compute the long-distance contributions. We initially derive the entire hadronic loop contributions for these two-body nonleptonic decays of doubly charmed baryons. In subsequent analyses, we are able to calculate relative strong phases. As a result, we can provide predictions for their decay asymmetry parameters and CP violations.
Furthermore, we employ experimental data from the LHCb collaboration, specifically the ratio $Br(\Xi_{cc}^{++}\to\Xi_{c}^{\prime+}\pi^{+})/Br(\Xi_{cc}^{++}\to\Xi_{c}^{+}\pi^{+})=(1.41\pm0.17\pm0.10)$, to ascertain the model parameters $\eta=0.9\pm0.2$. Consequently, we present the predictions of branching ratios and decay asymmetry parameters for 67 distinct decay processes and $CP$ violations for the singly Cabibbo suppressed channels.
This not only strengthens the validity of our theoretical predictions, but also provides a more comprehensive theoretical framework for the future identification of other doubly charmed baryons.
