Polarization of $Λ(1405)$ in the $γp \rightarrow K^+ πΣ$ reaction

In this paper, we study the polarization of the $Λ(1405)$ in the $γp \rightarrow K^+ πΣ$ reaction within an effective Lagrangian approach and isobar model. In our model, the $Λ(1405)$ is excited through the t-channel $K/K^*$ exchanges and u-channel hyperon exchange. Compared to previous studies, we also include the contribution from a contact term, which is necessary for our model to interpret the polarization of the $Λ(1405)$. In addition, we also discuss the possibility to verify the proposed two-pole structure of the $Λ(1405)$ using the polarization data. We find that the polarization of the $Λ(1405)$ or the polarization of the final $Σ$ in this reaction is sensitive to the invariant mass $M_{πΣ}$. Thus the measurement of the dependence of the $Λ(1405)$ polarization on the $M_{πΣ}$ can offer valuable information about the pole structure of the $Λ(1405)$.

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