Exploring Efimov states in D * D * D * and DD * D * three-body systems

Abstract

Abstract The Efimov effect is an intriguing three-body quantum phenomenon. Searching for Efimov states within the realms of nuclear and hadronic physics presents a challenge due to the inherent inability of natural physical systems to exhibit adjustable two-body scattering lengths. In this study, we examine the potential existence of Efimov states in the D * D * D * and DD * D * three-hadron systems. Utilizing a pionless effective field theory framework, we determine that the presence of Efimov states in the spectrum of the D * D * D * system is contingent upon the existence of an (I, J) = (1, 2) D * D * two-body bound system. If only the T cc + $$ {T}_{cc}^{+} $$ and its heavy quark spin partner T cc ∗ + $$ {T}_{cc}^{\ast +} $$ exist while there is no near-threshold pole in all other S-wave D (*) D * scattering amplitudes, no Efimov effect is expected in the D (*) D * D * systems.

Keywords

• Effective Field Theories of QCD
• Properties of Hadrons