${\Lambda }_c$ Semileptonic Decays in a Quark Model

Abstract

Hadronic form factors for semileptonic decay of the ${\Lambda }_c$ are calculated in a nonrelativistic quark model. The full quark model wave functions are employed to numerically calculate the form factors to all relevant orders in ($1/m_c$, $1/m_s$). The form factors obtained satisfy relationships expected from the heavy quark effective theory (HQET). The differential decay rates and branching fractions are calculated for transitions to the ground state and a number of excited states of $\Lambda$. The branching fraction of the semileptonic decay width to the total width of ${\Lambda }_c$ has been calculated and compared with other theoretical estimates and experimental results. The branching fractions for ${\Lambda }_c\to {\Lambda }^{\ast }{l}^{+}{\nu }_l\to \Sigma \pi l^{+}{\nu }_l$ and ${\Lambda }_c\to {\Lambda }^{\ast }{l}^{+}{\nu }_l\to N\bar{K}{l}^{+}{\nu }_l$ are also calculated. Apart from decays to the ground state $\Lambda$(1115), it is found that decays through the $\Lambda (1405)$ provide a significant portion of the branching fraction ${\Lambda }_c\to X_{s}l{\nu }_l$. A new estimate for $f=B({\Lambda }_c^{+}\to \Lambda l^{+}{\nu }_l)/B({\Lambda }_c^{+}\to X_s{l}^{+}{\nu }_l)$ is obtained.

arXiv comment44 pages, 24 figures, submitted to Physical Review D

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• Heavy Baryons in a Quark Model
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• Measurements of absolute hadronic branching fractions of ${\Lambda }_c^{+}$ baryon
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Cited by in corpus (10)

• Revisiting semileptonic decays of ${\Lambda }_{b(c)}$ supported by baryon spectroscopy
• ${\Lambda }_c\to {\Lambda }^{\ast }(1520)$ form factors from lattice QCD and improved analysis of the ${\Lambda }_b\to {\Lambda }^{\ast }(1520)$ and ${\Lambda }_b\to {\Lambda }_c^{\ast }(2595,2625)$ form factors
• Study of the Semileptonic Decay ${\Lambda }_c^{+}\to \Lambda e^{+}{\nu }_e$
• Weak production of strange and charm ground-state baryons in nuclei
• First Observation of the Semileptonic Decay ${\Lambda }_c^{+}\to p{K}^{-}{e}^{+}{\nu }_e$
• Charm-baryon semileptonic decays and the strange ${\Lambda }^{\ast }$ resonances: New insights from lattice QCD
• Decays of Pentaquarks in Hadrocharmonium and Molecular Pictures
• Improved measurement of the absolute branching fraction of inclusive semileptonic ${\Lambda }_c^{+}$ decay
• Baryons and baryoniums in the perspective of QCD sum rules
• Evidence for the semileptonic decays ${\Lambda }_c^{+}\to {\Sigma }^{\pm }{\pi }^{\mp }{e}^{+}{\nu }_e$