The Thomas theorem and the Efimov States within a generalized Bohr model
| Pub type: | Article |
| Citation: | HZheng_JOPC_v4_p085011 |
| Status: | Published |
| Journal: | Journal of Physics Communications |
| Volume: | 4 |
| Number: | 8 |
| Year: | 2020 |
| Month: | Aug |
| Pages: | 085011 |
| Publisher: | {IOP} Publishing |
| URL: | https://doi.org/10.1088%2F2399... |
| DOI: | 10.1088/2399-6528/abaca4 |
| Abstract: | Using a generalized Bohr model and the hyper-spherical formalism for a three-body system, we derive the universal energy functions.Weapply our model to 4He atom where only the Coulomb potential is dominant and find that its binding energy is well reproduced (less than 5.5% difference). Later, we focus on the equal mass three-body systems and derive the Thomas theorem assuming a simple interaction depending on the range of the potential.Wediscuss the conditions for which an unbound two-body system produces a bound three-body system and apply our model to 4He and triton atoms as well as to the triton nucleus. Using their scattering lengths and effective ranges, we are able to reproduce the two-body or the three-body binding energies (less than5%difference) with only one parameter fitted. Prediction for excited (Efimov) levels are also given and in particular we demonstrate that for some hyper-angles two equal minima appear which indicate a phase (shape) transition similar to the Landau’s theory of phase transition.Wesuggest that the observed excited levels in two different experiments for the triton nucleus are indeed Efimov levels and there may be more surprises. |
| Month_val: | 8 |
| Sig contrib: | H. Zheng, Aldo Bonasera |
| Authors: | |
| Added by: | [DGM] |
| Total mark: | 0 |
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