Continuum resonances with shielded Coulomb-like potential and Efimov effect
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Data
2014-04-01
Autores
Tusnski, D. S. [UNESP]
Yamashita, Marcelo Takeshi [UNESP]
Frederico, T.
Tomio, L. [UNESP]
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Springer
Resumo
Motivated by the possibility of the second energy level (0 (2) (+) ) of C-12 (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 C-12, 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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Physics Of Atomic Nuclei. New York: Maik Nauka/interperiodica/springer, v. 77, n. 4, p. 504-508, 2014.