New insights into the nature of the $\Lambda(1380)$ and $\Lambda(1405)$ resonances away from the SU(3) limit

TL;DR

This paper investigates how the properties of the $\\Lambda(1380)$ and $\\Lambda(1405)$ resonances evolve from the SU(3) symmetric limit to physical masses, revealing an interchange of their trajectories due to higher-order effects.

Contribution

It demonstrates the breaking of SU(3) symmetry effects on these resonances and predicts an interchange of their trajectories at next-to-leading order, guiding future lattice QCD studies.

Findings

Interchange of $\\Lambda(1380)$ and $\\Lambda(1405)$ trajectories observed.

SU(3) symmetry breaking caused by higher-order terms.

Lattice QCD can investigate the predicted phenomena.

Abstract

Starting from the SU(3) limit, we consider the nature of the dynamically generated resonances $\Lambda(1380)$, $\Lambda(1405)$ and $\Lambda(1680)$ as the pion and kaon masses are tuned to their physical values. We show that the accidental symmetry of the two octets due to the leading order Weinberg-Tomozawa term is broken by the next-to-leading order terms. Most interestingly, we observe an interchange of the two trajectories of the $\Lambda(1380)$ and the $\Lambda(1405)$ away from the SU(3) limit at next-to-leading order. This remarkable phenomenon can be investigated using lattice QCD calculations that start from the SU(3) limit.