Consistent α-cluster description of the 12C(0 2 + ) “hoyle” resonance

Fedotov, S. I.; Kartavtsev, O. I.; Malykh, A. V.

doi:10.1134/s0021364010220017

Cited by 6 publications

(3 citation statements)

References 29 publications

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“…More detailed studies are required to see in which systems the features discussed here can be observed. To this end, charged quasi-particles and nuclei close to the proton drip-line [21,61,18,62,63,15,16,23,64,65,66] must be investigated. The concept of universality for neutral particles has also been explored in low and mixed spatial dimensions [67,68,69,70,71,72], and with higher angular momenta [73,74,75].…”

Section: Discussionmentioning

confidence: 99%

Universal physics of bound states of a few charged particles

2019

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We study few-body bound states of charged particles subject to attractive zero-range/short-range plus repulsive Coulomb interparticle forces. The characteristic length scales of the system at zero energy are set by the Coulomb length scale D and the Coulomb-modified effective range r eff . We study shallow bound states of charged particles with D r eff and show that these systems obey universal scaling laws different from neutral particles. An accurate description of these states requires both the Coulomb-modified scattering length and the effective range unless the Coulomb interaction is very weak (D → ∞). Our findings are relevant for bound states whose spatial extent is significantly larger than the range of the attractive potential. These states enjoy universality -their character is independent of the shape of the short-range potential.

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Section: Discussionmentioning

confidence: 99%

Universal physics of bound states of a few charged particles

2019

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“…Obviously, a more detailed calculation should still be made in order to verify the extension of our results, as the two-body potential used in this toy model is not including higher partial waves, which are crucial to describe correctly the properties of 12 C [15][16][17]. A detailed analysis of the structure of the Hoyle state in 12 C, based on precise electron scattering data, can be found in [27].…”

Section: Discussionmentioning

confidence: 99%

“…We should mention here that the two-body potential used in this toy model does not consider higher partial waves, in particular d and g waves, which give a significant contribution to the properties of 12 C [15]. Much more realistic calculations can be found in [16,17].…”

Section: Formalismmentioning

confidence: 99%

Continuum Resonances with Shielded Coulomb-Like Potential and Efimov Effect

Tusnski¹,

Yamashita²,

Frederico³

et al. 2014

Ядер. физ.

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Abstract-Motivated by the possibility of the second energy level (0 + 2 ) of 12 C (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 12 C, 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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