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

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

Hai-Long Fu
(
- Beijing, Inst. Theor. Phys. and
- Beijing, GUCAS
)
,
Yong-Hui Lin
(
- Darmstadt, Tech. Hochsch.
)
,
Feng-Kun Guo
(
- Beijing, Inst. Theor. Phys. and
- Beijing, GUCAS and
- Beijing, CSRC
)
,
Hans-Werner Hammer
(
- Darmstadt, Tech. Hochsch. and
- Darmstadt, Tech. U. and
- Darmstadt, EMMI and
- FAIR, Darmstadt
)
,
Ulf-G. Meißner
(
- Beijing, CSRC and
- Bonn U., HISKP and
- U. Bonn, Phys. Inst., BCTP and
- IAS, Julich
)

Mar 25, 2025

25 pages

e-Print:

2503.19709 [hep-ph]

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Abstract: (arXiv)

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}^+

and its heavy quark spin partner

T_{cc}^{*+}

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.

Note:

25 pages, 8 figures

References(92)

Figures(12)

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