Spin-orbit decomposition of<i>ab initio</i>nuclear wave functions

Johnson, Calvin W.

doi:10.1103/physrevc.91.034313

Cited by 39 publications

(62 citation statements)

References 58 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…(S p S n S) Probability, % (λ 0 µ 0 ) Probability, % Probability, % (λ 0 µ 0 ) (λ µ)* 6 Li ( A more recent study [254] using SRG effective interactions in the NCSM has arrived at the same conclusions, while, in addition, it points to a similar spin pattern in odd-A p-shell nuclei.…”

Section: Nucleusmentioning

confidence: 48%

Symmetry-guided large-scale shell-model theory

Launey

Dytrych

Draayer

2016

Progress in Particle and Nuclear Physics

131

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: Nucleusmentioning

confidence: 48%

Symmetry-guided large-scale shell-model theory

Launey

Dytrych

Draayer

2016

Progress in Particle and Nuclear Physics

131

173

View full text Add to dashboard Cite

show abstract

“…4 That the ab initio calculated negative parity rotational band members of 9 Be largely obey LS coupling was demonstrated in Ref. [18], in the context of calculations with the Entem-Machleidt N 3 LO interaction. The portion of any NCCI calculated wave function coming from contributions with a given L or S is not manifest from its expansion in a tradititional M -scheme basis, but the so-called "Lanczos trick" 5 may be used to decompose the original calculated wave function into con- 4 In the context of the shell model, where the strength of the spin-orbit interaction controls the transition from LS to jj coupling, these schemes are termed the weak coupling and strong coupling regimes, respectively [62].…”

Section: Angular Momentum Structurementioning

confidence: 91%

“…Some of these rotational bands (or portions thereof) have been studied before in NCCI calculations [13][14][15][16]18]. However, these earlier calculations, which were based on internucleon interactions such as JISP16 [19] and NNLO opt [20], suffered from a significant limitation: excited rotational bands were relatively poorly converged in the many-body calculations, lying at much higher excitation energy than they would either in a more completely converged calculation for those interactions or, indeed, in experiment.…”

Section: Introductionmentioning

confidence: 99%

Probing ab initio emergence of nuclear rotation

et al. 2020

View full text Add to dashboard Cite

Structural phenomena in nuclei, from shell structure and clustering to superfluidity and collective rotations and vibrations, reflect emergent degrees of freedom. Ab initio theory describes nuclei directly from a fully microscopic formulation. We can therefore look to ab initio theory as a means of exploring the emergence of effective degrees of freedom in nuclei. For the illustrative case of emergent rotational bands in the Be isotopes, we establish an understanding of the underlying oscillator space and angular momentum (orbital and spin) structure. We consider no-core configuration interaction (NCCI) calculations for 7,9,11 Be with the Dae-jeon16 internucleon interaction. Although shell model or rotational degrees of freedom are not assumed in the ab initio theory, the NCCI results are suggestive of the emergence of effective shell model degrees of freedom (0 ω and 2 ω excitations) and LS-scheme rotational degrees of freedom, consistent with an Elliott-Wilsdon SU(3) description. These results provide some basic insight into the connection between emergent effective collective rotational and shell model degrees of freedom in these light nuclei and the underlying ab initio microscopic description. arXiv:1912.00083v1 [nucl-th]

show abstract

“…As a consequence the low-dimensional unitary groups SU(2), SU(3) and SU(4) come into the game. The tens of years of application of the shell model have shown that the simplest shell model configurations play a very important role as being in many cases the main components of the nuclear wave function [28]. The wave functions constructed using the quantum numbers of the permutation and unitary groups are very suitable for analysis of the possible cluster decomposition of the state of hyperfragment formed in the reaction and they give a possibility to calculate preformation factors for various decay channels.…”

Section: Tismmentioning

confidence: 99%

Translational invariant shell model for Λ hypernuclei

Jolos¹,

Majling²,

Majlingová

2016

EPJ Web of Conferences

View full text Add to dashboard Cite

Abstract. We extend shell model for Λ hypernuclei suggested by Gal and Millener by including 2 ω excitations in the translation invariant version to estimate yields of different hyperfragments from primary p-shell hypernuclei. We are inspired by the first successful experiment done at MAMI which opens way to study baryon decay of hypernuclei. We use quantum numbers of group SU(4), [ f ], and SU(3), (λμ), to classify basis wave functions and calculate coefficients of fractional parentage.

show abstract

Spin-orbit decomposition ofab initionuclear wave functions

Cited by 39 publications

References 58 publications

Symmetry-guided large-scale shell-model theory

Symmetry-guided large-scale shell-model theory

Probing ab initio emergence of nuclear rotation

Translational invariant shell model for Λ hypernuclei

Contact Info

Product

Resources

About