Study on the weak decay between two heavy baryons ${\mathcal{B}}_i({\frac{1}{2}}^{+})\to {\mathcal{B}}_f({\frac{3}{2}}^{+})$ in the light-front quark model

Abstract

In this work, we study the weak decay between two heavy baryons ${\mathcal{B}}_i({\frac{1}{2}}^{+})\to {\mathcal{B}}_f({\frac{3}{2}}^{+})$ in the light-front quark model where three-quark picture is employed for baryon. We derive general form of transition amplitude of ${\mathcal{B}}_i({\frac{1}{2}}^{+})\to {\mathcal{B}}_f({\frac{3}{2}}^{+})$, and analyze two specific cases of transitions: the weak decays of single heavy baryon ${\Sigma }_b\to {\Sigma }_c^{\ast }$ and the decays of double-charmed baryon ${\Xi }_{cc}\to {\Sigma }_c^{\ast }({\Xi }_c^{\ast })$. We compute the hadronic form factors for the transitions and apply them to study the decay widths of the semi-leptonic ${\mathcal{B}}_i({\frac{1}{2}}^{+})\to {\mathcal{B}}_f({\frac{3}{2}}^{+})l{\bar{\nu }}_l$ and non-leptonic ${\mathcal{B}}_i({\frac{1}{2}}^{+})\to {\mathcal{B}}_f({\frac{3}{2}}^{+})M$. Previously we studied the transition ${\Sigma }_b\to {\Sigma }_c^{\ast }$ with the quark-diquark picture of baryon in the light-front quark model. Here we revisit this transition with three-quark picture of baryon. At the quark level, the transition ${\Sigma }_b\to {\Sigma }_c^{\ast }$ is induced by the $b\to c$ transition.The subsystem of the two unchanged light quarks which possesses definite and same spin in initial and final state can be viewed as a spectator, so the spectator approximation can be applied directly. For the weak decay of doubly charmed baryon ${\Xi }_{cc}$, a $c$ quark decays to a light quark $q_1$, so both the initial state $cc$ and final state $q_1{q}_2$ ($q_1$ and the original $q_2$ in initial state may be the same flavor quarks) which possess definite spin are no longer spectators. A rearrangement of quarks for initial and final states is adopted to isolate the unchanged subsystem $c{q}_2$ which can be viewed as the spectator approximately. Future measurements on these channels will constrain the nonperturbative parameter in the wavefunctions and test the model predictions.

20 pages, 6 figures and 10 tables

References in corpus (14)

• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Weak Decays of Doubly Heavy Baryons: the $1/2\to 1/2$ case
• Decay constants and radiative decays of heavy mesons in light-front quark model
• Heavy-to-light form factors on the light cone
• Semileptonic decays of heavy baryons in the relativistic quark model
• Diquarks and Λ_{b}\toΛ_c weak decays
• Covariant light-front approach for heavy quarkonium: decay constants, P \to γγand V \to P γ
• $B_s\to D_s(3040)$ form factors and $B_s$ decays into $D_s(3040)$
• ${\Sigma }_b\to {\Sigma }_c$ and ${\Omega }_b\to {\Omega }_c$ weak decays in the light-front quark model
• Whether new data on $D_s\to f_0(980)e^{+}{\nu }_e$ can be understood if $f_0(980)$ consists of only the conventional $q\bar{q}$ structure
• Interpretation of the "$f_{D_s}$ puzzle" in SM and beyond
• Re-Study on the wave functions of ${\rm Y}(nS)$ states in LFQM and the radiative decays of ${\rm Y}(nS)\to {\eta }_b+\gamma$
• Light-Cone Sum Rules Analysis of ${\Xi }_{Q{Q}^{\prime }}\to {\Sigma }_{Q^{\prime }}$ Weak Decays
• Restudy of the color-allowed two-body nonleptonic decay of bottom baryons ${\Xi }_b$ and ${\Omega }_b$ supported by hadron spectroscopy