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Journal of Russian Laser Research

Three‐Body Approximation for the Investigation of Efimov States in Molecular Systems

S. A. Pozdneev

Published Mar 1, 2001• 3 citations
Publisher
DOI
10.1023/a:1011364106982

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The emergence of the Efimov effect in the D * D * D * system is explored under the assumption that the heavy partner of the T c c + exists as a D * D * molecule with ( I ) J P = ( 0 ) 1 + . The three-to-three relativistic scattering amplitude is obtained from the ladder amplitude formalism, built from an energy-dependent contact two-body potential where the molecular component of the T c c * state can be varied. We find that ( I ) J P = ( 1 2 ) 0 − three-body bound states can be formed, with properties that suggest that the Efimov effect can be realized for reasonable values of the molecular probability and binding energy of the T c c * . Published by the American Physical Society 2024
A quantum-mechanical description is presented for the three-body physics of shielded dipolar molecules, including a prediction of observable Efimov physics. Despite the anisotropic and long-range nature of the interaction, shielding enables a regime in which universality emerges already at the two-body level and extends to the three-body sector, where Efimov physics emerges. On the negative side of the scattering-length resonance, computed trimer binding energies display the characteristic scaling expected for Efimov resonances. Finally, the sudden approximation can be used to create trimer bound states, starting from positive energy trap states as a way to create or detect these molecular trimers. Moreover, the three-body parameter expressed in dipolar units is found to be universal.