Distinguishing the spins of P_c(4440) and P_c(4457) with femtoscopic correlation functions

2023/05/30 by Zhi-Wei Liu, Jun-Xu Lu, Liu, Zhi-Wei +5
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph) #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2305.19048

openalex publication_date 2023/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The spins of the pentaquark states P_c(4440) and P_c(4457) play a decisive role in unraveling their nature, but remain undetermined experimentally. Assuming that they are Σ_cD^* bound states, we demonstrate how one can determine their spins by measuring the Σ_c⁺D^(*)0 correlation functions. We show that one can use the Σ_c⁺D⁰ correlation function to fix the size of the Gaussian source and then determine the strength of the Σ_c⁺D^*0 interaction of spin 1/2 and 3/2 and therefore the spins of the P_c(4440) and P_c(4457) states. The method proposed can be applied to decipher the nature of other hadronic molecules and thus deepen our understanding of the nonperturbative strong interaction.

Related

• P_c(4440) and P_c(4457) decay into DΣ_c and DΛ_c and the spin of the P_c states
• Insight into the nature of the P_c(4457) and related pentaquarks
• Analysis of the isospin eigenstate D Σ_c, D^* Σ_c, and D Σ_c^* pentaquarks by their electromagnetic properties
• Constraining the hidden-charm pentaquark predictions and discriminating the P_c(4440) and P_c(4457) spins through the effective range expansion
• Studying the heavy quark spin symmetry multiplet of hadronic molecules D^(*)Σ_c^(*) in the three-body decays of D^(*)Λ_c π