Determination of the Deformation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>12</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>from Electron Scattering

Nakada, Akira; Torizuka, Y.; Horikawa, Yoko

doi:10.1103/physrevlett.27.1102.2

Cited by 36 publications

(24 citation statements)

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“…Table 4. The experimental data are taken from [24] and [27]- [33]. r (fm) Figure 10: Comparison between the ground state charge distribution of 12 C extracted from the experimental elastic form factor (dashed lines) [24] and that calculated for the oblate top with N = 10 (solid line).…”

Section: Discussionmentioning

confidence: 99%

The Algebraic Cluster Model: Three-Body Clusters

Bijker¹,

Iachello²

2002

Annals of Physics

123

152

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A new method is introduced to study three-body clusters. Triangular configurations with D 3h point-group symmetry are analyzed. The spectrum, transition form factors and B(Eλ) values of 12 C are investigated. It is concluded that the low-lying spectrum of 12 C can be described by three alphaparticles at the vertices of an equilateral triangle, but not as a rigid structure. Large rotation-vibration interactions, Coriolis forces and vibration-vibration interactions are needed. Other interpretations, such as the harmonic oscillator and a soft deformed oscillator with SO(6) hyperspherical symmetry, appear to be excluded by electron scattering data.

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Section: Discussionmentioning

confidence: 99%

The Algebraic Cluster Model: Three-Body Clusters

Bijker¹,

Iachello²

2002

Annals of Physics

123

152

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“…175 > The RGM gives a good fit to the experimental data, while the result of the GCM is insufficient in the maximum at q 2 r-v3 fm-2 as shown in Fig. 2-8 (b).…”

Section: Electric Transitions and Charge Form Factorsmentioning

confidence: 91%

Chapter II. Comprehensive Study of Alpha-Nuclei

Fujiwara

Horiuchi

Ikeda

et al. 1980

Prog. Theor. Phys. Suppl.

378

393

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Downloaded from the self-conjugate 4n nuclei which we call a-nuclei are especially stable energetically, therefore the fragmentation (or fission) thresholds of respective nuclei into constituent a-nuclei plus a residual nucleus lie in series starting in the region of quite low excitation energy.Since a-nuclei are strongly bound systems, they are hardly excited even when two a-nuclei are in a close distance. The fact that inter-nucleus forces between spin-isospin saturated nuclei are generally weak promotes further the tendency that a-nuclei preserve their identity in their interaction process. Furthermore the repulsive force of a short range part of the inter-nucleus inter-at Purdue University Libraries ADMN on June 1, 2015 http://ptps.oxfordjournals.org/ Downloaded from factorily the low-lying positive-parity excited states, 02 + at 7.66 MeV and 22 + (or 08 + ?) at ,...__,10.3 MeV shown in Fig. 1-1.From these studies, the ground rotational band (consisting of ground 01 +, 2 1 + at 4.44 MeV and 41 + at 14.08 MeV) was regarded as having a strong shellmodel-like character, although a-clustering effect is important. The latter nature (namely the persistency of a-clustering) was investigated in detail by Abe, Hiura and Tanaka 17 l by the use of the molecular orbital method preserving the spatial symmetry of [ 4 8 ]. Takigawa and Arima 18 l investigated the *> Many works were made with various frameworks and a-a potentials. Here, however, we do not mention them in detail. See a review article given by Tamagaki and Fujiwara for the works on the 3a problem.••> at Purdue University Libraries ADMN on June 1, 2015 http://ptps.oxfordjournals.org/ Downloaded from 15 0, 15 N, 17 0 and 11 F, the spacing between the centroids of the p and the sd shells is estimated as about 17 MeV. ii) We can deduce a value of fiw = 13.4 MeV corresponding to the harmonic oscillator parameter b = 1.76 fm at Purdue University Libraries ADMN on June 1, 2015 http://ptps.oxfordjournals.org/ Downloaded from Another standpoint for incorporating a 4p-4h configuration was the weak coupling model by Arima, Horiuchi and Sebe 58 >• 59 >• 60 > which assumed that the at Purdue University Libraries ADMN on June 1, 2015 http://ptps.oxfordjournals.org/ Downloaded from at Purdue University Libraries ADMN on June 1, 2015 http://ptps.oxfordjournals.org/ Downloaded from *' The RGM study for the "O+a system was also carried out by Siinkel and Wildermuth."'l **l Similar RGM analysis of the "0-a interaction was made by Ando, Ikeda and Suzuki 106 J by comparing with the a-a and "0-16 0 cases. at Purdue University Libraries ADMN on June 1, 2015 http://ptps.oxfordjournals.org/ Downloaded from at Purdue University Libraries ADMN on June 1, 2015 http://ptps.oxfordjournals.org/ Downloaded from *> As for wi'lr(t), harmonic oscillator functions and locally peaked Gaussian functions are also available by the use of fPNLM(J., v, S). Actually, the latter functions were examined and were found to give the same results obtained by the set (2·5) (Ref. 41)). at Purdue University Lib...

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“…2. We also show the K quantum number of the SD and the value of the overlap, P [39][40][41][42] and the AMD calculation [43]. Here, the result of the first set of SDs in Fig.…”

Section: F Analysis For Wave Functionsmentioning

confidence: 99%

“…F p (q 2 ) is a correction factor for the proton size for which we employ F p (q 2 ) = exp(−a 2 p q 2 /6) with a p = 0.831 fm. To correct the center-of-mass motion, we simply assume that the center-of-mass motion is separated and described by the harmonic oscillator wave function of the same oscillator constant,hω = 41A [43], and crosses with error bars show experimental results [39][40][41][42]. For the elastic form factor, we also show that of Skyrme HF solution in the ground state.…”

Section: E Charge Form Factorsmentioning

confidence: 99%

Deformation and cluster structures in12C studied with configuration mixing using Skyrme interactions

et al. 2013

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We report an investigation of the structure of 12 C nucleus employing a newly developed configuration-mixing method. In the three-dimensional coordinate-space representation, we generate a number of Slater determinants with various correlated structures using the imaginary-time algorithm. We then diagonalize a many-body Hamiltonian with the Skyrme interaction in the space spanned by the Slater determinants with parity and angular momentum projections. Our calculation reasonably describes the ground and excited states of 12 C nucleus, both for shell-model-like and cluster-like states. The excitation energies and transition strengths of the ground-state rotational band are well reproduced. Negative parity excited states, 1

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Determination of the Deformation inC12from Electron Scattering

Cited by 36 publications

References 0 publications

The Algebraic Cluster Model: Three-Body Clusters

The Algebraic Cluster Model: Three-Body Clusters

Chapter II. Comprehensive Study of Alpha-Nuclei

Deformation and cluster structures in12C studied with configuration mixing using Skyrme interactions

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