Incorporating DDπ effects and left-hand cuts in lattice QCD studies of the T_cc(3875)⁺

2024/01/12 by Hansen, Maxwell T., Romero-López, Fernando, Sharpe, Stephen R.
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th)

paper · doi:10.48550/arxiv.2401.06609

Abstract

We generalize the relativistic field-theoretic three-particle finite-volume scattering formalism to describe generic DDπ systems in the charm C=2 sector. This includes the isospin-0 channel, in which the recently discovered doubly-charmed tetraquark T_cc(3875)⁺ is expected to manifest as a pole in the DD π→ DD π scattering amplitude. The formalism presented here can also be applied to lattice QCD settings in which the D^* is bound and, in particular, remains valid below the left-hand cut in D D^* scattering, thus resolving an issue in previous analyses of lattice-determined finite-volume energies.

Related

• Finite- and infinite-volume study of DDπ scattering
• Resolving the T_cc⁺ with π Exchange from Lattice QCD
• Internal structure of the T_cc(3875)⁺ from its light-quark mass dependence
• Comparison of integral equations used to study T_cc⁺ for a stable D^*
• T_cc from finite volume energy levels: the left-hand cut problem and its solution