T_cc in the Diabatic Diquark Model: Effects of D^*D Isospin

2024/06/12 by Richard F. Lebed, Lebed, Richard F., Steven R. Martinez +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2406.08690

openalex publication_date 2024/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

T_cc⁺ is an isoscalar 4-quark state with mass lying barely below the D^*+ D⁰ threshold, and several times further below the D^*0 D⁺ threshold. It allows both di-meson molecular and elementary diquark-antidiquark (cc)( u d) substructures. The diabatic generalization of the adiabatic approximation within the Born-Oppenheimer formalism rigorously incorporates the mixing of such elementary eigenstates with states corresponding to two-particle thresholds. We examine the separate influence of the two D^* D isospin channels and find that the influence of D^*+ D⁰ is larger than that of D^*0 D⁺ but not overwhelmingly so, and that T_cc⁺ contains an O(10%) (cc)( u d) component. We then explore the variation of these results if the isospin breaking between the di-meson thresholds is varied, and also the sensitivity of our results to variation of the mixing-potential parameters.

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