X₀(2900) and χ_c0(3930) in process B⁺→ D⁺ D^- K⁺

2024/07/18 by Ding, Zuo-Ming, Huang, Qi, He, Jun
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2407.13503

Abstract

This study investigates the nature of the X₀(2900) and χ_c0(3930) based on experimental results of the process B⁺\toD⁺ D^- K⁺. We focus on the S-wave D^*-K^*+ and D_s⁺D_s^- molecular states, which can be related to the X₀(2900) and χ_c0(3930), respectively. Using effective Lagrangians, we construct the potential kernel of the D^*-K^*+-D^-K⁺ and D_s⁺D_s^--D⁺D^- interactions with a one-boson-exchange model, and determine the scattering amplitudes and their poles through a quasipotential Bethe-Salpeter equation approach. By incorporating the potential kernel into the three-body decay process B⁺\toD⁺ D^- K⁺, we evaluate the D^-K⁺ and D⁺D^- invariant mass spectra, as well as the Dalitz plot, with Monte Carlo simulation. A satisfactory fit to the D^-K⁺ and D⁺D^- invariant mass spectra is achieved after introducing additional Breit-Wigner resonances, the X₁(2900), ψ(3770), and χ_c2(3930) states. Prominent signals of the X₀(2900) and χ_c0(3930) states appear as peaks in the D^-K⁺ and D⁺D^- invariant mass spectra near 2900 and 3930 MeV, respectively. Clear event concentration of the X₀(2900) and χ₀(3930) states is evident as strips in the Dalitz plot. The results suggest that both X₀(2900) and χ_c0(3930) can be interpreted as molecular states, with the inclusion of X₁(2900) and χ₂(3930) necessary to describe structures in the regions near 2900 and 3930 MeV.

Related

• Roles of D^*K^* and D^*D molecular sates in decay B⁺ → D^*+ D^- K⁺
• Combined analysis on nature of X(3960), χ_c0(3930), and X₀(4140)
• Theoretical study of the B⁺→ D^-D_s⁺π⁺ reaction
• X₀(2900) and its spin partners production in the B⁺ decay process
• Searching for the open flavor tetraquark T⁺⁺_cs0(2900) in the process B⁺→ K⁺ D⁺ D^-