Inelastic Electron Scattering from<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow><mml:mrow><mml:mn>9</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mrow><mml:mn>12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>

Kunz, P.D.

doi:10.1103/physrev.128.1343

Cited by 21 publications

(2 citation statements)

References 20 publications

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“…We refer to nuclei composed of k α-particles plus x nucleons as kα + x nuclei. This question has also been addressed in the past, especially in the case of the Be isotopes seen as 8 Be + x nucleons, with a variety of methods [42][43][44][45][46][47] culminating, in the 1970's, in the extensive work of Okabe, Abe and Tanaka [48,49] using the Linear Combination of Atomic Orbitals (LCAO) method and its generalizations. In recent years, FMD [50][51][52][53] and AMD [54][55][56] calculations have provided very detailed and accurate microscopic descriptions of the Be isotopes with large overlap with the Brink model [7].…”

Section: Introductionmentioning

confidence: 99%

Cluster structure of light nuclei

Bijker

Iachello

2020

Progress in Particle and Nuclear Physics

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We review recent studies of the cluster structure of light nuclei within the framework of the algebraic cluster model (ACM) for nuclei composed of k α-particles and within the framework of the cluster shell model (CSM) for nuclei composed of k α-particles plus x additional nucleons. The calculations, based on symmetry considerations and thus for the most part given in analytic form, are compared with experiments in light cluster nuclei. The comparison shows evidence for Z 2 , D 3h and T d symmetry in the even-even nuclei 8 Be (k = 2), 12 C (k = 3) and 16 O (k = 4), respectively, and for the associated double groups Z ′ 2 and D ′ 3h in the odd nuclei 9 Be, 9 B (k = 2, x = 1) and 13 C (k = 3, x = 1), respectively. configurations for nuclei composed of k α-particles, here referred as kα nuclei.In particular, the suggested configurations of the ground state were, for k = 2 a dumbbell configuration with Z 2 symmetry ( 8 Be), for k = 3 an equilateral triangle with D 3h symmetry ( 12 C) and for k = 4 a tetrahedron with T d symmetry ( 16 O), as shown in Fig. 1. Brink's suggestion stimulated a considerable amount of work in an attempt to derive cluster properties from the shell model, especially by the Japanese school [8][9][10][11] and from mean field theories [12]. Also, the cluster structure of specific nuclei was extensively investigated, as for example in 16 O [13,14], and Brink's model was applied to a wide range of cluster nuclei from 12 C to 44 Ti in [15,16]. A review of cluster models up to 2006 can be found in [17], and more recent ones in [18] and [19].In recent years, there has been considerable renewed interest in the structure of α-cluster nuclei, especially for the nucleus 12 C [20]. The observation of new rotational states built on the ground state [21-24] and the Hoyle state [25-27] has stimulated a large effort to understand the structure of 12 C ranging from studies based on Antisymmetric Molecular Dynamics (AMD) [28], Fermion Molecular Dynamics (FMD) [29], BEC-like cluster model [30], ab initio no-core shell model [31-33], lattice EFT [34-36], no-core symplectic model [37] and the Algebraic Cluster Model (ACM) [38][39][40][41]. In the first part of this paper, we review the ACM as applied to kα nuclei with k = 2, 3, 4.An important question is the extent to which cluster structures survive the addition of nucleons (protons and neutrons). We refer to nuclei composed of k α-particles plus x nucleons as kα + x nuclei. This question has also been addressed in the past, especially in the case of the Be isotopes seen as 8 Be + x nucleons, with a variety of methods [42][43][44][45][46][47] culminating, in the 1970's, in the extensive work of Okabe, Abe and Tanaka [48, 49] using the Linear Combination of Atomic Orbitals (LCAO) method and its generalizations. In recent years, FMD [50-53] and AMD [54-56] calculations have provided very detailed and accurate microscopic descriptions of the Be isotopes with large overlap with the Brink model [7]. In another seminal development, Von Oertzen [57-60] hasdiscussed the ...

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Section: Introductionmentioning

confidence: 99%

Cluster structure of light nuclei

Bijker

Iachello

2020

Progress in Particle and Nuclear Physics

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“…The error did not come from the measuring of the hyperfine splitting, but resulted because of the difficul ties involved in computing an accurate value for the gradient of the atomic electric field at the nucleus. The value of 2.9 fm was found to be in ex cellent agreement with the shell model calculations (113), but too small by a factor of two from the predictions of collective models (31,32,114,115).…”

Section: Brief Review Of the Mass A=9 Systemmentioning

confidence: 53%

Applications of point group symmetries in light nuclei

Hauge

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Color Conductivity at High Resolution: A New Phenomenon of Nuclear Physics

Nachtmann

Pirner

1987

Annalen der Physik

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I n this paper we discuss in detail the hyothesis that nuclei show extended quark and gluon modes when explored with a high resolution probe. We call this color conductivity a t high resolution. We relate color conductivity to the behaviour of proton-proton total and elastic cross sections a t high energies. For deep inelastic muon-nucleon scattering we discuss in detail the nuclear evolution equation following from color conductivity and introduced by us previously. The EMC Fe/d data are well described by our theory if due allowance is made for the quoted systematic error. We predict striking effects from color conductivity in the final state of deep inelastic lepton-nucleus scattering. The possibility of making fundamental tests of quantum ohromodynamics in leptonnucleus scattering is emphasized. We connect the shadowing phenomenon to the volume and surface terms in the Bethe-Weizsacker formula for the nuclear binding energy. Finally we point out that deep inelastic scattering on deformed nuclei may be crucial to distinguish between different theories of the EMC effect. Farbleitung bei Hochauflosung : Ein neues Phiinomen der KernphysikInhaltsubersicht. I n dieser Arbeit diskutieren wir detailliert die Hypothese, daB Kerne bei hochauflosender Untersuchung ausgedehnte Quark-und Gluonenmoden zeigen. Wir korrelieren die Farbleitung mit dem Verhalten von totalem und elastischem Proton-Proton-Wechselwirkungsquerschnitt bei hohen Energien. Fiir tief inelastische Myon-Nukleonstreuung diskutieren wir im Detail die von uns fruher eingefuhrte, aus der Farbleitung folgende Entwicklungsgleichung der Kerne. Die EMC Fe/d-Werte werden durch unsere Theorie im Rahmen des berichteten systematischen Fehlers gut beschrieben. Wir sagen auffallende Effekte im Endzustand der tief inelastischen Leptonen-Kern-Streuung, die aus der Farbleitung folgen, voraus. Die Moglichkeit fundamentaler Tests der Quantenchromodynamik bei Leptonen-Kernstreuung wird unterstrichen. Wir verbinden das Schattenphanomen mit Volumen-und Oberflachentermen in der Bethe-Weizsacker Formel fur die Kernbindungsenergie. AbschlieBend weisen wir darauf hin, daB die tief inelastische Streuung an deformierten Kernen kritisch fur die Entscheidung zwischen den verschiedenen Theorien des EMC-Effektes sein konnte.

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Inelastic Electron Scattering fromBe9andC12

Cited by 21 publications

References 20 publications

Cluster structure of light nuclei

Cluster structure of light nuclei

Applications of point group symmetries in light nuclei

Color Conductivity at High Resolution: A New Phenomenon of Nuclear Physics

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