The nuclear symplectic model for isoscalar giant resonances and its coupling with a cluster basis in 20Ne

Suzuki, Y.

doi:10.1016/0375-9474(87)90124-2

Cited by 16 publications

(16 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This is not surprising since the overlaps between the two bases for the low-lying states of p and sd-shell nuclei have been found to be comparatively large in the low-N Ω subspaces [212]. This approach has been further applied to study the monopole and quadrupole strengths in light nuclei [214,215]. It has been also applied to the α+ 12 C cluster system and found to contain the important shell-model configurations needed to describe low-lying spectrum of 16 O [216,217].…”

Section: Cluster Modelmentioning

confidence: 90%

Symmetry-guided large-scale shell-model theory

Launey

Dytrych

Draayer

2016

Progress in Particle and Nuclear Physics

127

173

View full text Add to dashboard Cite

In this review, we present a symmetry-guided strategy that utilizes exact as well as partial symmetries for enabling a deeper understanding of and advancing ab initio studies for determining the microscopic structure of atomic nuclei. These symmetries expose physically relevant degrees of freedom that, for large-scale calculations with QCD-inspired interactions, allow the model space size to be reduced through a very structured selection of the basis states to physically relevant subspaces. This can guide explorations of simple patterns in nuclei and how they emerge from first principles, as well as extensions of the theory beyond current limitations toward heavier nuclei and larger model spaces. This is illustrated for the ab initio symmetry-adapted no-core shell model (SA-NCSM) and two significant underlying symmetries, the symplectic Sp(3, R) group and its deformation-related SU(3) subgroup. We review the broad scope of nuclei, where these symmetries have been found to play a key role -from the light p-shell systems, such as 6 Li, 8 B, 8 Be, 12 C, and 16 O, and sd-shell nuclei exemplified by 20 Ne, based on first-principle explorations; through the Hoyle state in 12 C and enhanced collectivity in intermediate-mass nuclei, within a no-core shell-model perspective; up to strongly deformed species of the rare-earth and actinide regions, as investigated in earlier studies. A complementary picture, driven by symmetries dual to Sp(3, R), is also discussed. We briefly review symmetry-guided techniques that prove useful in various nuclear-theory models, such as Elliott model, ab initio SA-NCSM, symplectic model, pseudo-SU(3) and pseudo-symplectic models, ab initio hyperspherical harmonics method, ab initio lattice effective field theory, exact pairing -plusshell model approaches, and cluster models, including the resonating-group method. Important implications of these approaches that have deepened our understanding of emergent phenomena in nuclei, such as enhanced collectivity, giant resonances, pairing, halo, and clustering, are discussed, with a focus on emergent patterns in the framework of the ab initio SA-NCSM with no a priori assumptions.

show abstract

Section: Cluster Modelmentioning

confidence: 90%

Symmetry-guided large-scale shell-model theory

Launey

Dytrych

Draayer

2016

Progress in Particle and Nuclear Physics

127

173

View full text Add to dashboard Cite

show abstract

“…It was known that many of those resonances are associated with the α cluster states such as the Hoyle state of 12 C [15][16][17][18][19][20][21][22][23][24], the α + 12 C cluster states in 16 O [25,26], the α + 16 O cluster states in 20 Ne [27], and the α + α + t cluster state in 11 B [28][29][30]. Therefore, the IS monopole transition has been utilized as a probe to search for the cluster states in light nuclei.…”

Section: Introductionmentioning

confidence: 99%

Isoscalar dipole transition as a probe for asymmetric clustering

2016

View full text Add to dashboard Cite

“…In this decade, the IS monopole transition has attracted much interest as a good probe for the 0 + cluster states [36][37][38][39][40][41]. In addition to this, recently it was also suggested that the IS dipole transition is a good probe for the 1 − cluster states [42].…”

Section: Introductionmentioning

confidence: 99%

Inversion doublets of reflection-asymmetric clustering in Si28 and their isoscalar monopole and dipole transitions

2017

View full text Add to dashboard Cite

Background: Various cluster states of astrophysical interest are expected to exist in the excited states of 28 Si. However, they have not been identified firmly, because of the experimental and theoretical difficulties. Purpose: To establish the 24 Mg + α, 16 O + 12 C, and 20 Ne + 2α cluster bands, we theoretically search for the negative-parity cluster bands that are paired with the positive-parity bands to constitute the inversion doublets. We also offer the isoscalar monopole and dipole transitions as a promising probe for the clustering. We numerically show that these transition strengths from the ground state to the cluster states are very much enhanced.

show abstract

The nuclear symplectic model for isoscalar giant resonances and its coupling with a cluster basis in 20Ne

Cited by 16 publications

References 51 publications

Symmetry-guided large-scale shell-model theory

Symmetry-guided large-scale shell-model theory

Isoscalar dipole transition as a probe for asymmetric clustering

Inversion doublets of reflection-asymmetric clustering in Si28 and their isoscalar monopole and dipole transitions

Contact Info

Product

Resources

About