The relativistic three-body scattering and the D⁰D^*+-D⁺D^*0 system

2024/02/03 by Xu Zhang, Zhang, Xu · 1 citation
Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #Nuclear physics research studies #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2402.02151

Abstract

Scattering amplitudes involving three-particle scattering processes are investigated within the isobar approximation which respects constraints from two- and three-body unitarity. The particular system considered is the D⁰D^*+-D⁺D^*0, where the D^*+ (D^*0) enters as a p-wave D⁺π⁰ or D⁰π⁺ (D⁰π⁰ or D⁺π^-) resonance. The interaction potentials in the coupled-channel D⁰D^*+-D⁺D^*0 system contain the σ, ρ, ω and π-exchange. The analytic continuation of the amplitudes across the three-body unitary cuts is investigated to search for poles on the unphysical Riemann sheets. Associated with an unstable particle D^*+ (D^*0) is a complex two-body unitarity cut, through which one can further analytically continue into another unphysical Riemann sheet. Dynamical singularities emerged from the π-exchange potential are stressed. The pole generated from the D⁰D^*+-D⁺D^*0 interaction and its line shape in D⁰D⁰π⁺ break-up production are in agreement with double-charmed tetraquark T_cc⁺ observed by the LHCb Collaboration.

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