Role of the $N^*(2080)$ in $pp \to pK^+ \Lambda(1520)$ and $\pi^- p \to K^0 \Lambda(1520)$ reactions

TL;DR

This paper studies the role of the $N^*(2080)$ resonance in $ ext{pp} o pK^+ ext{Lambda}(1520)$ and $ ext{pi}^- p o K^0 ext{Lambda}(1520)$ reactions, showing that including this resonance improves agreement with experimental data and offers insights into $ ext{Lambda}(1520)$ production mechanisms.

Contribution

The study introduces the $N^*(2080)$ resonance into the reaction models, providing a better fit to experimental data and estimating its coupling constants, which was not previously detailed.

Findings

Inclusion of $N^*(2080)$ improves fit to low-energy cross sections.

Estimated the $N^*(2080)N ext{pi}$ coupling constant as 0.14 ± 0.04.

Predicted invariant mass distributions and Dalitz plots for future experimental tests.

Abstract

We investigate the $\Lambda(1520)$ hadronic production in the $p p \to p K^+ \Lambda(1520)$ and $\pi^- p \to K^0 \Lambda(1520)$ reactions within the effective Lagrangian method. For $\pi^- p \to K^0 \Lambda(1520)$ reaction, in addition to the "background" contributions from $t-$channel $K^*$ exchange, $u-$channel $\Sigma^+$ exchange, and $s-$channel nucleon pole terms, we also consider the contribution from the nucleon resonance $N^*(2080)$ (spin-parity $J^P = 3/2^-$), which has significant coupling to $K\Lambda(1520)$ channel. We show that the inclusion of the nucleon resonance $N^*(2080)$ leads to a fairly good description of the low energy experimental total cross section data of $\pi^- p \to K^0 \Lambda(1520)$ reaction. From fitting to the experimental data, we get the $N^*(2080)N\pi$ coupling constant $g_{N^*(2080)N \pi} = 0.14 \pm 0.04$. By using this value and with the assumption that the excitation of $N^*(2080)$ is due to the $\pi^0$-meson exchanges, we calculate the total and differential cross sections of $p p \to p K^+ \Lambda(1520)$ reaction. We also demonstrate that the invariant mass distribution and the Dalitz Plot provide direct information of the $\Lambda(1520)$ production, which can be tested by future experiments.