Multicluster solutions of the Elliott SU(3) nucleonic Hamiltonian and alpha-cluster level density

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

doi:10.1088/1742-6596/436/1/012034

Cited by 4 publications

(5 citation statements)

References 6 publications

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“…excited state of 17 O and verified that the gap between the R-matrix fit and the experimental data at 11 MeV can be completely eliminated by this channel.…”

Section: H Neutron Excitation Functionmentioning

confidence: 58%

“…The absolute cross section was not measured in [30,37], and, in addition, the data from [37] was not corrected for energy variation of the detector efficiency and for neutron decays to the excited states of 17 O which also contribute to the total cross section. Therefore, we do not expect the fit to match the data perfectly and we only focused on the resonance structures and their relative strengths.…”

Section: H Neutron Excitation Functionmentioning

confidence: 99%

“…The data and the R-matrix fit are shown in Fig 11 . The resonance structure for the (α,n) excitation function is reasonably well reproduced with most of the discrepancies seen at higher excitation energies. These discrepancies are either due to the fact that some of the resonances important for the neutron channel may be too weak in the 14 C(α,α) channel to be observed, or may be related to the neutron decay to the excited states of 17 O. This decay channel is not included in the curve shown in Fig.…”

Section: H Neutron Excitation Functionmentioning

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%

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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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“…excited state of 17 O and verified that the gap between the R-matrix fit and the experimental data at 11 MeV can be completely eliminated by this channel.…”

Section: H Neutron Excitation Functionmentioning

confidence: 58%

Section: H Neutron Excitation Functionmentioning

confidence: 99%

Section: H Neutron Excitation Functionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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α-cluster structure ofO18

et al. 2014

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“…Structure of highly clustered states have been explored using symmetry based approaches such as the one found in Ref. [7]; in this approach cluster degrees of freedom are introduced by construction. Within modern microscopic models such as the Antisymmetrized Molecular Dynamics [8] and Fermionic Molecular Dynamics [9], clustering properties of various nuclear states have been confirmed to emerge directly from nucleon-nucleon interactions.…”

Section: Introductionmentioning

confidence: 99%

Nuclear clustering using a modern shell model approach

Volya

Tchuvil’sky

2015

Phys. Rev. C

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Nuclear clustering, alpha decays, and multi-particle correlations are important components of nuclear dynamics. In this work we put forward the Cluster-Nucleon Configuration Interaction Model. We use the modern configuration-interaction approach with advanced realistic shell-model Hamiltonians in order to study clustering phenomena; the study is facilitated by the algebraic properties of many-nucleon configurations in the harmonic oscillator basis.Using translationally invariant formalism we built cluster channels that satisfy Pauli exclusion principle as well as orthogonality and normalization conditions. We formally justify the formalism and demonstrate that, within the new method, clustering strengths satisfy sum rules that are consistent with the statistical properties of nuclear reactions with composite particles. Using properly renormalized cluster form factors our approach appears to resolve long-standing problems related to absolute normalization of the alpha clustering spectroscopic factors and their behavior in sd-shell nuclei.Our methods are demonstrated in studies of α spectroscopic factors in sd-shell nuclei and in 16 O treated in p-sd shells. Comparison with experimental data supports validity of the approach.

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