Few-cluster solutions of many-fermion problem

Gnilozub, I. A.; Kurgalin, Sergei; Tchuvil’sky, Yu. M.

doi:10.1016/j.nuclphysa.2007.03.016

Cited by 5 publications

(18 citation statements)

References 8 publications

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“…The Thick Target Inverse Kinematics (TTIK) technique was used to measure the 14 C+α elastic scattering excitation function. The technique was first suggested by [41,42].…”

Section: Experiments and Analysismentioning

confidence: 99%

“…[11]. An approach to clustering exploiting the Elliott SU(3) model [12] under the assumption that the wave functions of clustered states possess and unmixed SU(3) symmetry has been particularly successful in studies of multi-cluster systems such as 8 Be, 10 Be, 12 C, 16 O, 32 S [13][14][15][16][17]. However, purely algebraic models lack configuration mixing and are not expected to describe complex spectroscopy of states such as those in 18 O with two valence neutrons.…”

Section: Introductionmentioning

confidence: 99%

“…The goal of this paper is to examine the structure of 18 O using detailed R-matrix analysis of the 14 C+α elastic scattering excitation functions and to examine the results using shell model. In our work we use Cluster-Nucleon Configuration Interaction Model (CNCIM) [19], which represents the latest developments of the shell model approach to clustering.…”

Section: Introductionmentioning

confidence: 99%

“…These experiments are sensitive to cluster states of different energy, spin, width and configuration to various degree, thus they contributed valuable complimentary experimental information. The detailed R-matrix analysis of the 14 C+α elastic scattering excitation functions over a wide range of energies is performed here for the first time, and summarizes several years of activity. The same experimental setup and analysis techniques are used in this work as in [40].…”

Section: Introductionmentioning

confidence: 99%

“…The same experimental setup and analysis techniques are used in this work as in [40]. The beam energy used here is higher than in [40] in order to study the excitation function for 14 C+α at higher energies.…”

Section: Introductionmentioning

confidence: 99%

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α-cluster structure ofO18

et al. 2014

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Background: Clustering phenomena in N = Z nuclei provide an opportunity to understand the interplay between cluster and nucleon degrees of freedom. Purpose:To study resonances in the 18 O spectrum, populated in 14 C+α elastic scattering.Method: The Thick Target Inverse Kinematics (TTIK) technique was used to measure the excitation function for the 14 C+α elastic scattering. A 42 MeV 14 C beam was used to populate states of excitation energy up to 14.9 MeV in 18 O. The analysis was performed using a multi-level, multi-channel R-Matrix approach.Results: Detailed spectroscopic information, including spin-parities, partial α-and neutron-decay widths and dimensionless reduced widths, was obtained for excited states in 18 O between 8 and 14.9 MeV in excitation energy. Cluster-Nucleon Configuration Interaction Model calculations of the same quantities are performed and compared to the experimental results.Conclusions: Strong fragmentation of large α-cluster strengths is observed in the spectrum of 18 O making the α-cluster structure of 18 O quite different from the pattern of known quasi-rotational bands of alternating parity that are characteristic of N = Z, even-even nuclei like 16 O and 20 Ne.

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“…The Thick Target Inverse Kinematics (TTIK) technique was used to measure the 14 C+α elastic scattering excitation function. The technique was first suggested by [41,42].…”

Section: Experiments and Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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α-cluster structure ofO18

et al. 2014

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The clustered nucleus—cluster structures in stable and unstable nuclei

Freer¹

2007

Rep. Prog. Phys.

321

381

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The subject of clustering has a lineage which runs throughout the history of nuclear physics. Its attraction is the simplification of the often uncorrelated behaviour of independent particles to organized and coherent quasi-crystalline structures. In this review the ideas behind the development of clustering in light nuclei are investigated, mostly from the stand-point of the harmonic oscillator framework. This allows a unifying description of alpha-conjugate and neutron-rich nuclei, alike. More sophisticated models of clusters are explored, such as antisymmetrized molecular dynamics. A number of contemporary topics in clustering are touched upon; the 3α-cluster state in 12 C, nuclear molecules and clustering at the drip-line. Finally, an understanding of the 12 C + 12 C resonances in 24 Mg, within the framework of the theoretical ideas developed in the review, is presented.

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