Production of Hyperons, Charmed Baryons, and Hadronic Molecule Candidates in Neutrino-Proton Reaction

TL;DR

This work addresses exclusive production of hyperons, charmed baryons, and hadronic molecular candidates in antineutrino–proton scattering using effective Lagrangians, chiral perturbation theory, and a hadronic-molecule model. It constructs tree-level and loop amplitudes with form factors, computes Dalitz plots, invariant-mass spectra, and total cross sections for representative channels including potential $P_{\bar{c}}$ states such as $|(\bar{D}N)\rangle$ and $|(\bar{D}\Sigma)\rangle$, and investigates isospin configurations. The results show that standard three-body channels like $\bar{\nu}_\mu p \to \mu^+ K^0 \Lambda$, $\bar{\nu}_\mu p \to \mu^+ \bar{D}^0 \Lambda$, and $\bar{\nu}_\mu p \to \mu^+ \bar{D}^0 n$ have cross sections of comparable magnitude, while the molecular channels $\bar{\nu}_\mu p \to \mu^+(\bar{D}N)$ and $\bar{\nu}_\mu p \to \mu^+(\bar{D}\Sigma)$ are suppressed but potentially measurable at high statistics. This study demonstrates that neutrino facilities can serve as complementary probes of hadronic dynamics in the strange and charm sectors and may help illuminate exotic baryons and hadronic-molecule formation mechanisms.

Abstract

We investigate the production of hyperons, charmed baryons, and potential hadronic molecular states in neutrino-proton $(\barν_μp)$ reaction, a process characterized by a particularly clean final state. Employing effective Lagrangians, chiral perturbation theory, and a hadronic molecular model, we perform theoretical calculations for several relevant channels, including those leading to the formation of the hadronic molecular candidate $(\bar{D}N)$ and $(\bar{D}Σ)$. Our results indicate that future neutrino facilities could serve as a complementary platform for exploring exotic baryonic states and provide valuable insights into the dynamics of strong interactions in the strange and charm sectors.

Figures (13)

• Figure 1: Feynman diagrams for neutrino–proton scattering leading to three-body final states. Panel (a) shows a hyperon production channel, whereas panels (b) and (c) depict charm production processes.
• Figure 2: ($\bar{D}N$) and $(\bar{D}\Sigma)$ molecule production in antineutrino-proton scattering.
• Figure 3: Vector and scalar form factors in $D$ meson semileptonic decays: (a) $D\rightarrow \pi \ell \nu$ and (b) $D\rightarrow K \ell \nu$.
• Figure 4: Dependence of the coupling constant $g_{pP_{\bar{c}}W}$ on the cutoff parameters $\Lambda$ and $\Lambda_1$, each varied from 0 to $1~\mathrm{GeV}$. Here, $P_{\bar{c}}$ denotes the $(\bar{D}N)$ state, and the isospin $I=1$ configuration is chosen.
• Figure 5: Dependence of the coupling constant $g_{pP_{\bar{c}}W}$ on the cutoff parameters $\Lambda$ and $\Lambda_1$, each varied from 0 to $1~\mathrm{GeV}$. Here, $P_{\bar{c}}$ denotes the $(\bar{D}N)$ state, and the isospin $I=1$ configuration is chosen.