Spectroscopy and femtoscopic correlation function of the $B\bar{D}$, $B=(N, \Delta)$ system in quark delocalization color screening model

Abstract

In this work, we systematically investigate the pentaquark systems with quark contents $qqqq\bar{c}$ with the analyzed total spin and parity quantum numbers of $J^{P}=\frac{1}{2}^{-}$, $J^{P}=\frac{3}{2}^{-}$ and $J^{P}=\frac{5}{2}^{-}$, in the I=0, I=1 and I=2 isospin channels. The effective potentials between baryon and meson clusters are given, and the possible bound states are also investigated. Also, the study of the scattering process of the open channels is performed to identify possible resonance states. Our estimations indicate that several possible bound states and narrow baryon-meson resonances are found from corresponding the calculation processes. Furthermore, to bridge the gap between theoretical predictions and experimental measurement, we also extract the low-energy scattering parameters and compute the femtoscopic correlation functions for the $N\bar{D}$ system using the CATS framework. The results demonstrate that the predicted $I=0$ bound state manifests as a significant enhancement at low momentum accompanied by a characteristic suppression. In contrast, the $I=1$ correlations remain relatively flat as the predicted resonances are kinematically distant from the threshold. The $I=2$ sector exhibits strong spin dependence, where the bound state signal in the $J=1/2^{-}$ channel is largely masked by repulsive components in spin-averaged observables. This cancellation effect suggests that future experimental searches at ALICE and LHCb may require spin-selective measurements to identify such states. These predictions provide crucial theoretical guidance for future experiments.