Supersymmetric isospectral formalism for the calculation of near-zero energy states: application to the very weakly bound ${}^4$He trimer excited state

Abstract

We propose a novel mathematical approach for the calculation of near-zero energy states by solving potentials which are isospectral with the original one. For any potential, families of strictly isospectral potentials (with very different shape) having desirable and adjustable features are generated by supersymmetric isospectral formalism. The near-zero energy Efimov state in the original potential is effectively trapped in the deep well of the isospectral family and facilitates more accurate calculation of the Efimov state. Application to the first excited state in 4He trimer is presented.

accepted

References in corpus (8)

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• Observation of an Efimov-like resonance in ultracold atom-dimer scattering
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Cited by in corpus (2)

• Level spacing statistics and spectral correlations in the diffuse van der Waals clusters
• Macroscopic quantum many-body tunneling of attractive Bose-Einstein condensate in anharmonic trap