Semileptonic decays of doubly charmed baryons with ${\Xi }_c-{\Xi }_c^{\prime }$ mixing

Abstract

We study the ${\Xi }_c-{\Xi }_c^{\prime }$ mixing effects in the semileptonic decays the doubly charm baryons of ${\Xi }_{cc}$. We focus on the ratio of $\mathcal{R}({\theta }_c)\equiv \mathcal{B}({\Xi }_{cc}\to {\Xi }_c^{\prime }{e}^{+}{\nu }_e)/\mathcal{B}({\Xi }_{cc}\to {\Xi }_c{e}^{+}{\nu }_e)$ and find that $(\mathcal{R}({\theta }_0),\mathcal{R}(-{\theta }_0))=(0.46\pm 0.01,7.33\pm 0.23)$ with ${\theta }_0=0.137\pi$, which are in sharp contrast to $\mathcal{R}(0)=2.15\pm 0.11$ without the mixing. The ratio is enhanced~(suppressed) by a factor of four for a negative~(positive) ${\theta }_c$. In addition, the polarization asymmetries of ${\Xi }_c^{(\prime )}$ are found to be $\alpha (-{\theta }_0)=0.32(-0.76)$ and $\alpha ({\theta }_0)=-0.82(-0.38)$. As $\mathcal{R}$ and $\alpha$ are highly sensitive to ${\theta }_c$ and unaffected by the $W$-exchange contributions, they provide excellent opportunities to determine ${\theta }_c$ in the ongoing experiments.

arXiv comment6 pages, 2 figures

References in corpus (8)

• Weak Decays of Doubly Heavy Baryons: the $1/2\to 1/2$ case
• Heavy Baryon Masses in the $1/m_Q$ and $1/N_c$ Expansions
• QCD Sum Rules Analysis of Weak Decays of Doubly-Heavy Baryons
• Model-Independent Bottom Baryon Mass Predictions in the 1/N Expansion
• A comprehensive analysis of weak transition form factors for doubly heavy baryons in the light front approach
• Study on ${\Xi }_{cc}\to {\Xi }_c$ and ${\Xi }_{cc}\to {\Xi }_c^{\prime }$ weak decays in the light-front quark model
• Weak decays of doubly heavy baryons: decays to system of $\pi$ mesons
• Exclusive $c\to s,d$ semileptonic decays of ground-state spin-1/2 doubly charmed baryons

Cited by in corpus (3)

• Improved method to determine the ${\Xi }_c-{\Xi }_c^{\prime }$ mixing
• A novel method for searching the ${\Xi }_c^{0/+}$-${\Xi }_c^{\prime 0/+}$ mixing effect in the angular distribution analysis of a four-body ${\Xi }_c^{0/+}$ decay
• Isospin violating decays of vector charmonia