Continuum resonances with shielded Coulomb-like potential and Efimov effect |
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Authors: | D. S. Tusnski M. T. Yamashita T. Frederico L. Tomio |
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Affiliation: | 1. Instituto de Física Teórica, UNESP-Universidade Estadual Paulista, S?o Paulo, Brazil 2. Instituto Tecnológico de Aeronáutica-DCTA, S. J. dos Campos, Brazil 3. Universidade Federal do ABC, Santo André, Brazil
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Abstract: | Motivated by the possibility of the second energy level (0 2 + ) of 12C (in a three-alpha model) to turn into an Efimov state, we study a simple non-realistic toy model formed by three bosons interacting by the phenomenological s-wave Ali-Bodmer potential plus a Coulomb interaction. An artificial three-body potential was used to create a resonance with energy close to the energy of the 0 2 + of 12C, 0.38 MeV. The strength of the Coulomb potential is decreased until the energies of the two alpha pairs are zero. The system was placed inside a harmonic trap and a stabilization method has been used to calculate the energies of the resonances. We found that the shielded-Coulomb potential, which keeps the long tail, is not able to produce the Efimov effect. The energy of the three alphas decreases only to 0.19 MeV when the two-body energy crosses the threshold to become bound. |
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