<p>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 <i>D</i><sup>*</sup><i>D</i><sup>*</sup><i>D</i><sup>*</sup> and <i>DD</i><sup>*</sup><i>D</i><sup>*</sup> three-hadron systems. Utilizing a pionless effective field theory framework, we determine that the presence of Efimov states in the spectrum of the <i>D</i><sup>*</sup><i>D</i><sup>*</sup><i>D</i><sup>*</sup> system is contingent upon the existence of an (<i>I, J</i>) = (1<i>,</i> 2) <i>D</i><sup>*</sup><i>D</i><sup>*</sup> two-body bound system. If only the <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>T</mi> <mi mathvariant="italic">cc</mi> <mo>+</mo> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {T}_{cc}^{+} \)</EquationSource> </InlineEquation> and its heavy quark spin partner <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>T</mi> <mi mathvariant="italic">cc</mi> <mrow> <mo>∗</mo> <mo>+</mo> </mrow> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {T}_{cc}^{\ast +} \)</EquationSource> </InlineEquation> exist while there is no near-threshold pole in all other <i>S</i>-wave <i>D</i><sup>(*)</sup><i>D</i><sup><i>*</i></sup> scattering amplitudes, no Efimov effect is expected in the <i>D</i><sup>(*)</sup><i>D</i><sup>*</sup><i>D</i><sup>*</sup> systems.</p>

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

  • Hai-Long Fu,
  • Yong-Hui Lin,
  • Feng-Kun Guo,
  • Hans-Werner Hammer,
  • Ulf-G. Meißner,
  • Akaki Rusetsky,
  • Xu Zhang

摘要

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.