<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>α</mml:mi></mml:math>Structures for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>A</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn><mml:mi>N</mml:mi></mml:math>Nuclei in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>2</mml:mn><mml:mi>s</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn><mml:mi>d</mml:mi></mml:math>Shell

Hauge, Paul S.; Williams, S. J.; Duffey, George H.

doi:10.1103/physrevc.4.1044

Cited by 31 publications

(28 citation statements)

References 42 publications

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“…The classical α-cluster model assumes that the internal α-particles are harmonically bound in a semirigid molecular structure. 17 The observed properties of a nucleus are then predicted by methods analogous to those used in molecular mechanics and are found to depend primarily on the symmetry of the assumed structure. 17,18 The best known nuclei, in which the α-cluster structure should be pronounced, are 12 C and 16 O nuclei.…”

Section: Ground-state Densities Of Even-even Nuclei In the α-Cluster mentioning

confidence: 99%

“…17 The observed properties of a nucleus are then predicted by methods analogous to those used in molecular mechanics and are found to depend primarily on the symmetry of the assumed structure. 17,18 The best known nuclei, in which the α-cluster structure should be pronounced, are 12 C and 16 O nuclei. Different characteristics of these nuclei are investigated both in microscopic or semimicroscopic (see, for example, Refs.…”

Section: Ground-state Densities Of Even-even Nuclei In the α-Cluster mentioning

confidence: 99%

“…In this case the accepted types of symmetry are D 3h for 12 C nucleus and T d for 16 O nucleus. 17 Originally, this model was used to describe electron scattering by 12 C nuclei 28 and later it was extended to the description of proton scattering. 29,30 In these works the α-particles making up the 12 C nucleus were assumed to be arranged at the vertices of an equilateral triangle with a given side length.…”

Section: Ground-state Densities Of Even-even Nuclei In the α-Cluster mentioning

confidence: 99%

“…17,35 In particular, for the 20 Ne nucleus several configurations were considered: the D 2d distorted rigid tetrahedron, the D 2d internal rotator, the D 3h trigonal bipyramid etc. The molecular "crystal-like" α-cluster structures usually assumed for the 24 Mg nucleus are the D 4h square bipyramid, D 2h rhombic bypiramid or bitetrahedron.…”

Section: Molecule-like Configurations Of 20 Ne and 24 Mg Nucleimentioning

confidence: 99%

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Intermediate energy multiple scattering of particles by light α-cluster nuclei

Berezhnoy

Mikhailyuk

Pilipenko

2015

Int. J. Mod. Phys. E

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The survey of cluster models used for the description of the properties of nuclei was carried out. The interaction of intermediate protons with various odd and even nuclei is reviewed. The influence of the clusterization effects on the behavior of the elastic and inelastic scattering observables are demonstrated by using multiple diffraction scattering theory (MDST) and the α-cluster model with dispersion. The comparison of the calculations, based on two-and four-nucleon correlation models, have been performed. The elastic scattering of light nuclei from α-cluster nuclei is analyzed. The results given in this review suggest that the MDST variants based on cluster models seem to be rather attractive as compared with those based on the single-nucleon approximation. Such approaches, considering nucleon and light-nuclei scattering on α-clusters, are among the best examples of using Glauber's MDST, since they automatically include the internal nucleon-nucleon correlations both in the incident and target nuclei. Besides, α-clusters have zero spin and, in this case, the scattering amplitude does not involve explicit consideration of spin-spin effects. Moreover, these models often permit an accurate analytical calculation of the MDST series.

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Section: Ground-state Densities Of Even-even Nuclei In the α-Cluster mentioning

confidence: 99%

Section: Ground-state Densities Of Even-even Nuclei In the α-Cluster mentioning

confidence: 99%

Section: Ground-state Densities Of Even-even Nuclei In the α-Cluster mentioning

confidence: 99%

Section: Molecule-like Configurations Of 20 Ne and 24 Mg Nucleimentioning

confidence: 99%

See 2 more Smart Citations

Intermediate energy multiple scattering of particles by light α-cluster nuclei

Berezhnoy

Mikhailyuk

Pilipenko

2015

Int. J. Mod. Phys. E

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show abstract

“…(3) has been cut off at the shortest wave number in the system, which also should have been done in the ring sum of Hauge and Hemmer. 3 Also note the combination of the logarithms gives an extensive thermodynamic limit for large N and V, when 6 > 0. Results for the "guiding center" model may be obtained by ignoring the momentum-space contribution to Z.…”

mentioning

confidence: 99%