Photoproduction of the $ \Lambda (1800) $

TL;DR

This paper investigates the photoproduction of the $ ext{Lambda}(1800)$ resonance, proposing it is dynamically generated from vector-baryon interactions, and provides detailed predictions on mass distributions and cross sections to guide future experiments.

Contribution

It introduces a novel theoretical framework modeling the $ ext{Lambda}(1800)$ as a dynamically generated resonance from vector-baryon interactions, analogous to the $ ext{Lambda}(1405)$.

Findings

Mass distributions linked to the resonance's nature.

Energy dependence of cross sections predicted.

Complementary reactions provide detailed resonance insights.

Abstract

We have carried out a study of the $\gamma ~ p \rightarrow p K^{+} K^{*-} (K^{*-} \rightarrow K^{-} \pi^{0}) $, $ \gamma ~p \rightarrow p K^{+} K^{*-} ( K^{*-} \rightarrow \bar{K}^{0} \pi^{-} )$ and $ \gamma ~p \rightarrow K^{+} K^{-}p$ reactions, producing the $K^+ \Lambda(1800)$ final state, from the perspective that the $\Lambda(1800)$ resonance is dynamically generated from the interaction of $\bar{K}^* N$ with its coupled vector-baryon channels, in complete analogy to the $\Lambda(1405)$ generated from the interaction of $\bar{K} N$ and its coupled pseudoscalar-baryon channels. The two reactions are complementary and their mass distributions are tied to the particular nature of this resonance in that framework. We provide much information on the shapes and strength of the invariant mass distributions of these reactions, and the energy dependence of the cross sections, that when contrasted with future experiments should shed valuable light on the nature of this resonance and its analogy to the $\Lambda(1405)$.