The nonleptonic decays ${\Xi }_{cc}^{++}\to {\Xi }_c^{(\prime )+}{\pi }^{+}$ within the nonrelativistic quark model

Abstract

In this work, we study the nonleptonic decays ${\Xi }_{cc}^{++}\to {\Xi }_c^{(\prime )+}{\pi }^{+}$ with considering ${\Xi }_c-{\Xi }_c^{\prime }$ mixing. The relevant decay amplitudes are evaluated within the framework of nonrelativistic quark model, combining the baryon spatial wave functions adopted from solving the Schrödinger equation with a nonrelativistic potential. With the mixing angle ranging $\theta \in (-18.2^{\circ },-14.3^{\circ })$, we successfully reproduce the measured ratio $R=\mathcal{B}[{\Xi }_{cc}^{++}\to {\Xi }_c^{\prime +}{\pi }^{+}]/\mathcal{B}[{\Xi }_{cc}^{++}\to {\Xi }_c^{+}{\pi }^{+}]$ reported by the LHCb Collaboration. Furthermore, we estimate the branching fractions as $\mathcal{B}[{\Xi }_{cc}^{++}\to {\Xi }_c^{+}{\pi }^{+}]=(3.2\sim 4.3)\%$ and $\mathcal{B}[{\Xi }_{cc}^{++}\to {\Xi }_c^{\prime +}{\pi }^{+}]=(4.2\sim 6.0)\%$, and the asymmetry parameters as $\alpha [{\Xi }_{cc}^{++}\to {\Xi }_c^{+}{\pi }^{+}]=(-0.80\sim -0.81)$ and $\alpha [{\Xi }_{cc}^{++}\to {\Xi }_c^{\prime +}{\pi }^{+}]=(-0.61\sim -0.62)$. The measurements of absolute branching fractions and asymmetry parameters by the ongoing LHCb and Belle II experiments will be helpful for further testing our numerical results and confirming the mixing angle.

arXiv comment13 pages, 5 figures, 8 tables, to be published in EPJC

References in corpus (42)

• Heavy Baryons in a Quark Model
• Mass spectra of doubly heavy baryons in the relativistic quark model
• Spectrum of heavy baryons in the quark model
• Discovery Potentials of Doubly Charmed Baryons
• Weak Decays of Doubly Heavy Baryons: SU(3) Analysis
• Weak Decays of Doubly Heavy Baryons: the $1/2\to 1/2$ case
• Charmed Baryon Physics Circa 2021
• Weak Decays of Doubly Heavy Baryons: Multi-body Decay Channels
• Cabibbo-allowed nonleptonic weak decays of charmed baryons
• Strong and radiative decays of the doubly charmed baryons
• Singly Cabibbo-suppressed hadronic decays of ${\Lambda }_c^{+}$
• Charmed Baryon Weak Decays with SU(3) Flavor Symmetry
• Strangeness -2 and -3 Baryons in a Constituent Quark Model
• Two-body hadronic weak decays of antitriplet charmed baryons
• QCD Sum Rules Analysis of Weak Decays of Doubly-Heavy Baryons
• Masses and radiative decay widths of S- and P-wave singly-, doubly- and triply-heavy charm and bottom baryons
• Estimates of W-exchange contributions to ${\Xi }_{cc}$ decays
• Ab initio three-loop calculation of the W-exchange contribution to nonleptonic decays of double charm baryons
• Study of various few-body systems using Gaussian expansion method (GEM)
• Two-body weak decays of doubly charmed baryons
• Rescattering mechanism of weak decays of double-charm baryons
• Strong decays of the 1P and 2D doubly charmed states
• Study on ${\Xi }_{cc}\to {\Xi }_c$ and ${\Xi }_{cc}\to {\Xi }_c^{\prime }$ weak decays in the light-front quark model
• Study of heavy quark conserving weak decays in the quark model
• Topological tensor invariants and the current algebra approach: Analysis of 196 nonleptonic two-body decays of single and double charm baryons -- a review
• Hadronic weak decays of the charmed baryon ${\Omega }_c$
• Hadronic weak decays of ${\Lambda }_c$ in the quark model
• Systematic analysis of doubly charmed baryons ${\Xi }_{cc}$ and ${\Omega }_{cc}$
• ${\Xi }_c-{\Xi }_c^{\prime }$ mixing From Lattice QCD
• Double-charm heptaquark states composed of two charmed mesons and one nucleon
• Heavy-Flavor-Conserving Hadronic Weak Decays of Charmed and Bottom Baryons: an Update
• Heavy-Flavor-Conserving Hadronic Weak Decays of Charmed and Bottom Baryons
• Weak Decays of Doubly Heavy Baryons: ${\mathcal{B}}_{cc}\to \mathcal{B}{D}^{(\ast )}$
• Doubly Cabibbo-suppressed decays of antitriplet charmed baryons
• Improved method to determine the ${\Xi }_c-{\Xi }_c^{\prime }$ mixing
• W-exchange contribution to the decays ${\Xi }_{cc}^{++}\to {\Xi }_c^{+(\prime )}{\pi }^{+}$ using light-cone sum rules
• Generation of $SU(3)$ sum rule for charmed baryon decay
• Nonleptonic decays of ${\Xi }_{cc}\to {\Xi }_c\pi$ with ${\Xi }_c-{\Xi }_c^{\prime }$ mixing
• Doubly charmed baryon decays ${\Xi }_{cc}^{++}\to {\Xi }_c^{(\prime )+}{\pi }^{+}$ in the quark model
• Study of the nonleptonic decay ${\Xi }_c^0\to {\Lambda }_c^{+}{\pi }^{-}$ in the covariant confined quark model
• From topological amplitude to rescattering dynamics in doubly charmed baryon decays
• Revisiting heavy-flavor conserving weak decays of charmed baryons within the nonrelativistic quark model

Cited by in corpus (1)

• The nonleptonic decays of double-charmed baryon ${\Omega }_{cc}^{+}$ within the nonrelativistic quark model