X0(2900) and χc0(3930) in process B+→D+D-K

• Published in: The European physical journal. C, Particles and fields Vol. 84; no. 8; p. 822
• Main Authors: Ding, Zuo-Ming, Huang, Qi, He, Jun
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 17.08.2024; Springer Nature B.V
• Subjects: Astronomy; Astrophysics and Cosmology; Elementary Particles; Hadrons; Heavy Ions; Invariants; Mass spectra; Mass spectroscopy; Measurement Science and Instrumentation; Monte Carlo simulation; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Regular Article – Theoretical Physics; S waves; String Theory
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-024-13214-6

This study investigates the nature of the X 0 ( 2900 ) and χ c 0 ( 3930 ) based on experimental results of the process B + → D + D - K + . We focus on the S-wave D ∗ - K ∗ + and D s + D s - molecular states, which can be related to the X 0 ( 2900 ) and χ c 0 ( 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 + → D + D - K + , we evaluate the D - K + and D + D - invariant mass spectra, as well as the Dalitz plot, using Monte Carlo simulation. A satisfactory fit to the D - K + and D + D - invariant mass spectra is achieved after introducing additional Breit–Wigner resonances, X 1 ( 2900 ) , ψ ( 3770 ) , and χ c 2 ( 3930 ) . Prominent signals of the X 0 ( 2900 ) and χ c 0 ( 3930 ) states appear as peaks in the D - K + and D + D - invariant mass spectra near 2900 and 3930 MeV, respectively. Clear event concentration from the X 0 ( 2900 ) and χ 0 ( 3930 ) is evident as strips in the Dalitz plot. The results suggest that both X 0 ( 2900 ) and χ c 0 ( 3930 ) can be interpreted as molecular states, with the inclusion of X 1 ( 2900 ) and χ 2 ( 3930 ) necessary to describe structures in the D - K + and D + D - invariant mass spectra, respectively.