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

A bstract 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 $$ {T}_{cc}^{+} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>T</mml:mi> <mml:mi>cc</mml:mi> <mml:mo>+</mml:mo> </mml:msubsup> </mml:math> and its heavy quark spin partner $$ {T}_{cc}^{\ast +} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>T</mml:mi> <mml:mi>cc</mml:mi> <mml:mrow> <mml:mo>∗</mml:mo> <mml:mo>+</mml:mo> </mml:mrow> </mml:msubsup> </mml:math> 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.