Semileptonic ${\Lambda }_c$ decay to $\nu l^{+}$ and $\Lambda (1405)$

Abstract

We study the semileptonic decay of ${\Lambda }_c$ to $\nu l^{+}$ and $\Lambda (1405)$, where the $\Lambda (1405)$ is seen in the invariant mass distribution of $\pi \Sigma$. We perform the hadronization of the quarks produced in the reaction in order to have a meson baryon pair in the final state and then let these hadron pairs undergo final state interaction from where the $\Lambda (1405)$ is dynamically generated. The reaction is particularly suited to study this resonance because we show that it filters I=0. It is also free of tree level $\pi \Sigma$ production, which leads to a clean signal of the resonance with no background. This same feature has as a consequence that one populates the state of the $\Lambda (1405)$ with higher mass around 1420 MeV, predicted by the chiral unitary approach. We make absolute predictions for the invariant mass distributions and find them within measurable range in present facilities. The implementation of this reaction would allow us to gain insight into the existence of the predicted two $\Lambda (1405)$ states and their nature as molecular states.

7 pages, 5 figures

References in corpus (12)

• K^- p scattering length from scattering experiments
• Constraints on the chiral unitary $\bar{K}N$ amplitude from $\pi \Sigma K^{+}$ photoproduction data
• On the Strangeness -1 S-wave Meson-Baryon Scattering
• Measurement of the Sigma pi photoproduction line shapes near the Lambda(1405)
• Lineshape of the Lambda(1405) Hyperon Measured Through its Sigma0 pion0 Decay
• $B^0$ and $B_s^0$ decays into $J/\psi$ $f_0(980)$ and $J/\psi$ $f_0(500)$ and the nature of the scalar resonances
• Photoproduction of Lambda(1405) and Sigma^{0}(1385) on the proton at E_γ= 1.5-2.4 GeV
• Kaonic production of Lambda(1405) off deuteron target in chiral dynamics
• Predictions for the ${\Lambda }_b\to J/\psi \Lambda (1405)$ decay
• Antineutrino induced Lambda(1405) production off the proton
• Ratios of heavy hadron semileptonic decay rates
• $B\to \rho$ semileptonic decays and $|V_{ub}|$

Cited by in corpus (13)

• Test Flavor SU(3) symmetry in Exclusive ${\Lambda }_c$ decays
• QCD and the Strange Baryon Spectrum
• ${\Lambda }_c\to {\Lambda }^{\ast }(1520)$ 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 ${\Lambda }_c^{+}\to \Lambda e^{+}{\nu }_e$
• Analysis of the semileptonic decay Λ_c->ne^+ν_e
• $\Lambda (1405)$ production in the process ${\chi }_{c0}(1P)\to \bar{\Lambda }\Sigma \pi$
• First Observation of the Semileptonic Decay ${\Lambda }_c^{+}\to p{K}^{-}{e}^{+}{\nu }_e$
• ${\tau }^{-}\to {\nu }_{\tau }{M}_1{M}_2$, with $M_1,M_2$ pseudoscalar or vector mesons
• ${\Lambda }_c$ Semileptonic Decays in a Quark Model
• Charm-baryon semileptonic decays and the strange ${\Lambda }^{\ast }$ resonances: New insights from lattice QCD
• Theoretical study of the Lambda(1405) resonance in Xi_b^0 -> D^0 pi Sigma decay
• Semileptonic decay of $B_c^{-}$ into $X(3930)$, $X(3940)$, $X(4160)$
• Evidence for the semileptonic decays ${\Lambda }_c^{+}\to {\Sigma }^{\pm }{\pi }^{\mp }{e}^{+}{\nu }_e$