Three-body potential among alpha particles

Portilho, O.; Agrello, D. A.; Coon, S. A.

doi:10.1103/physrevc.27.2923

Cited by 7 publications

(9 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where θ is defined by equation (8). In equation (11), the s-wave projection of the Coulomb potential V c (ρ, θ ) is defined as…”

Section: S-wave Modelmentioning

confidence: 99%

“…To calculate the wavefunction of the 0 + 2 state for the 3α system, we apply a method proposed in [16]. It is a simple variant of the resonating group method applied for the Faddeev equations in the case of 8 Be-α scattering. In this method, the Faddeev component U is presented as a product…”

Section: +mentioning

confidence: 99%

“…Function χ(x) describes the αα resonance ground state of 8 Be and function φ(y) corresponds to the relative motion of the clusters. The three-body scattering problem is treated as an elastic scattering problem from a quasi bound state.…”

Section: +mentioning

confidence: 99%

“…Currently, the idea that α particle clusters exist within the 12 C nucleus is widely accepted. This idea has been applied by many authors [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] within different approaches. However, in spite of these numerous attempts, the cluster model has failed to describe the details of the 12 C spectrum.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

0⁺states of the¹²C nucleus: the Faddeev calculation in configuration space

Filikhin

Suslov

Vlahović

2005

J. Phys. G: Nucl. Part. Phys.

View full text Add to dashboard Cite

The Faddeev equations in configuration space are used to study the 12C nucleus considered as the 3α cluster system. The model includes a phenomenological (Ali–Bodmer) pair potential having s, d and g partial wave components, a three-body potential and takes into account the Coulomb interaction. The range parameter of the three-body potential is fixed by adjusting the position of the diffraction minimum of the 12C elastic form factor. To choose this parameter, we apply an s-wave model that allows us to reproduce well observed characteristics of the 0+1 and 0+2 states. The model must be supplemented by the assumption of a distortion in the charge density of an α cluster inside the 12C nucleus. The calculations of the energies of several low-lying levels of 12C reveal unnaturally large contributions from the higher partial waves of the αα potential. We did not find the additional broad 0+ resonance which was recently reported (Kurokawa C and Kato K 2005 Phys. Rev. C 76 021301-1). The calculated resonance energies for the 0+3 and 0+4 states are in satisfactory agreement with the experimental data.

show abstract

“…where θ is defined by equation (8). In equation (11), the s-wave projection of the Coulomb potential V c (ρ, θ ) is defined as…”

Section: S-wave Modelmentioning

confidence: 99%

Section: +mentioning

confidence: 99%

Section: +mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

0⁺states of the¹²C nucleus: the Faddeev calculation in configuration space

Filikhin

Suslov

Vlahović

2005

J. Phys. G: Nucl. Part. Phys.

View full text Add to dashboard Cite

show abstract

“…This molecular aspect has been studied within the framework of several variational approaches. 16 In Refs., [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34] the cluster approach has been used to treat the 3α problem with different inter-cluster potentials, phenomenologically obtained. However, the cluster model has failed in a detailed description of the 12 C spectrum.…”

Section: Introductionmentioning

confidence: 99%

Effective Mass of $α$-Cluster in $^{12}$C Nucleus

Filikhin¹,

Karoui²,

Vlahović³

2022

Preprint

View full text Add to dashboard Cite

Based on the effective-mass concept, we perform the Faddeev calculations for a lowlying spectrum of 3α states in 12 C nucleus. A three-body potential is used to describe the known breaking of the 3α-cluster structure in the nucleus. We show that the contribution of the three-body potential to the Hamiltonian can be compensated by increasing/decreasing the α-particle free mass. The effective-mass values are adjusted so that to reproduce the experimental data for the 12 C nucleus. The energy dependence of the effective mass and the correlation to a three-body potential are discussed. We show that the coupling between the 0 + (2 + ) levels forms a specific picture of anti-crossing on the energy/effective-mass plane.

show abstract