Effects of a $N^*$ resonance with hidden charm in the $\pi^- p \to D^- \Sigma_c^+$ reaction near threshold

TL;DR

This paper investigates how a hidden charm $N^*_{car{c}}$ resonance influences the $ o D^- \Sigma_c^+$ reaction near threshold, predicting an enhancement in cross sections that can be tested experimentally.

Contribution

It introduces a novel effective Lagrangian model to include the $N^*_{car{c}}$ resonance effect in the reaction near threshold, providing predictions for experimental verification.

Findings

Resonance causes an increase in total cross section near threshold.

Differential cross sections show angle dependence at various energies.

Model predictions are ready for future experimental testing.

Abstract

We study the effect of a hidden charm nuclear excited state $N^*_{c\bar{c}}$ in the $\pi^- p \to D^- \Sigma_c^+$ reaction near threshold using an effective Lagrangian approach. We calculate the background contribution of the $t$ and $u$ channels by the $D^{*0}$ vector meson exchange and $\Sigma_c^{++}$ intermediate state, respectively. We show that the consideration of a $N^*_{c\bar{c}}$ resonance provides an enhancement of the total cross section close to the reaction threshold. We also evaluate the differential cross section for different energies and we study the angle dependence. It is expected that our model calculations will be tested in future experiments.