Antineutrino induced Lambda(1405) production off the proton

Abstract

We have studied the strangeness changing antineutrino induced reactions ${\bar{\nu }}_{l}p\to l^{+}\varphi B$, with $\varphi B=K^{-}p$, ${\bar{K}}^{0}n$, ${\pi }^0\Lambda$, ${\pi }^0{\Sigma }^0$, $\eta \Lambda$, $\eta {\Sigma }^0$, ${\pi }^{+}{\Sigma }^{-}$, ${\pi }^{-}{\Sigma }^{+}$, $K^{+}{\Xi }^{-}$ and $K^0{\Xi }^0$, using a chiral unitary approach. These ten coupled channels are allowed to interact strongly, using a kernel derived from the chiral Lagrangians. This interaction generates two $\Lambda (1405)$ poles, leading to a clear single peak in the $\pi \Sigma$ invariant mass distributions. At backward scattering angles in the center of mass frame, ${\bar{\nu }}_{\mu }p\to {\mu }^{+}{\pi }^0{\Sigma }^0$ is dominated by the $\Lambda (1405)$ state at around 1420~MeV while the lighter state becomes relevant as the angle decreases, leading to an asymmetric line shape. In addition, there are substantial differences in the shape of $\pi \Sigma$ invariant mass distributions for the three charge channels. If observed, these differences would provide valuable information on a claimed isospin I=1, strangeness S=-1 baryonic state around 1400 MeV. Integrated cross sections have been obtained for the $\pi \Sigma$ and $\bar{K}N$ channels, investigating the impact of unitarization in the results. The number of events with $\Lambda (1405)$ excitation in ${\bar{\nu }}_{\mu }p$ collisions in the recent antineutrino run at the MINERvA experiment has also been obtained. We find that this reaction channel is relevant enough to be investigated experimentally and to be taken into account in the simulation models of future experiments with antineutrino beams.

13 pages and 9 figures. Minor revision; a discussion about lQCD results added to the Introduction

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• ${\bar{\nu }}_l$ induced pion production from nuclei at $\sim$1 GeV

Cited by in corpus (9)

• Weak decays of heavy hadrons into dynamically generated resonances
• Review of the low-lying excited baryons ${\Sigma }^{\ast }(1/2^{-})$
• $\Lambda (1405)$ production in the process ${\chi }_{c0}(1P)\to \bar{\Lambda }\Sigma \pi$
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Semileptonic ${\Lambda }_c$ decay to $\nu l^{+}$ and $\Lambda (1405)$
• Theoretical study of the Lambda(1405) resonance in Xi_b^0 -> D^0 pi Sigma decay
• $\Lambda (1405)$ mediated triangle singularity in the $K^{-}d\to p{\Sigma }^{-}$ reaction
• Weak Kaon Production off the nucleon and Watson's theorem
• Search for the low-lying excited baryon ${\Sigma }^{\ast }(1/2^{-})$ through process ${\Lambda }_c^{+}\to \Lambda K^0{\pi }^{+}$