Evidence for Symplectic Symmetry in<i>Ab Initio</i>No-Core Shell Model Results for Light Nuclei

Dytrych, Tomáš; Sviratcheva, K. D.; Bahri, C.; Draayer, J. P.; Vary, James P.

doi:10.1103/physrevlett.98.162503

Cited by 120 publications

(158 citation statements)

References 28 publications

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“…Eventually, the complete spin decomposition is achieved. Utilizing this procedure, we have studied the spin decomposition of well-converged NCSM eigenstates in 12 C and 16 O [50,65]. The NCSM eigenstates employed in this study are obtained with effective interactions (using the Okubo-Lee-Suzuki procedure) derived from the realistic JISP16 and [8,251].…”

Section: Low Intrinsic Spinmentioning

confidence: 99%

“…Consequently, in nuclear states all possible intrinsic spin values for a given nucleus may mix. To investigate the spin pattern in lowlying states, we have studied NCSM eigenstates by projection to spin components [50] and SA-NCSM eigenstates, which, as discussed in Sec. 3.2, are expressed in terms of basis states that by construction have definite proton S p , neutron S n , and total S spin values [20].…”

Section: Low Intrinsic Spinmentioning

confidence: 99%

“…In Refs. [20,50,253], we have analyzed the probability distribution across Pauli-allowed (S p S n S) and (λ µ) configurations of the four lowest-lying isospin-zero 1 Fig. 11.…”

Section: Large Quadrupole Deformationmentioning

confidence: 99%

“…4.3). In this review, we discuss how such highly structured orderly patterns emerge from first-principle investigations [50,51] starting with bare nucleon-nucleon (N N ) interactions. Remarkably, the outcome of these studies has revealed that typically only one or two symplectic irreducible representations (irreps), also referred to as "vertical cones" of many-particle basis states, suffice to represent a large fraction of each of the ab initio wave functions of 12 C and 16 O, typically in excess of about 80% of the physics.…”

Section: Introductionmentioning

confidence: 99%

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Symmetry-guided large-scale shell-model theory

Launey

Dytrych

Draayer

2016

Progress in Particle and Nuclear Physics

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131

173

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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.

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Section: Low Intrinsic Spinmentioning

confidence: 99%

Section: Low Intrinsic Spinmentioning

confidence: 99%

“…In Refs. [20,50,253], we have analyzed the probability distribution across Pauli-allowed (S p S n S) and (λ µ) configurations of the four lowest-lying isospin-zero 1 Fig. 11.…”

Section: Large Quadrupole Deformationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Symmetry-guided large-scale shell-model theory

Launey

Dytrych

Draayer

2016

Progress in Particle and Nuclear Physics

Self Cite

131

173

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“…The analysis of the oscillator excitations will be useful for developing and improving a truncation scheme for the model space in, e.g., ab initio NCSM [1], importance-truncated NCSM [17,18], the symmetry-adapted no-core shell model [19], the Monte Carlo shell model [20], as well as a model approach such as the tensor-optimized shell model [21].…”

Section: Introductionmentioning

confidence: 99%

Harmonic-oscillator excitations of precise few-body wave functions

Horiuchi

Suzuki

2014

Phys. Rev. C

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A method for calculating the occupation probability of the number of harmonic-oscillator (HO) quanta is developed for a precise few-body wave function obtained in a correlated Gaussian basis. The probability distributions of two-to four-nucleon wave functions obtained by using different nucleon-nucleon (NN) interactions are analyzed to gain insight into the characteristic behavior of the various interactions. Tensor correlations as well as short-range correlations play a crucial role in enhancing the probability of high HO excitations. For the excited states of 4 He, the interaction dependence is much less because high HO quanta are mainly responsible for describing the relative-motion function between the 3N + N ( 3 H + p and 3 He + n) clusters.

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Nucleon–Nucleon Interaction in the J-Matrix Inverse Scattering Approach and Few-Nucleon Systems

Shirokov

Mazur

Zaytsev

et al.

The J-Matrix Method

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The nucleon-nucleon interaction is constructed by means of the J-matrix version of inverse scattering theory. Ambiguities of the interaction are eliminated by postulating tridiagonal and quasi-tridiagonal forms of the potential matrix in the oscillator basis in uncoupled and coupled waves, respectively. The obtained interaction is very accurate in reproducing the N N scattering data and deuteron properties. The interaction is used in the no-core shell model calculations of 3 H and 4 He nuclei. The resulting binding energies of 3 H and 4 He are very close to experimental values.

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Evidence for Symplectic Symmetry inAb InitioNo-Core Shell Model Results for Light Nuclei

Abstract: Clear evidence for symplectic symmetry in low-lying states of 12C and 16O is reported. Eigenstates of 12C and 16O, determined within the framework of the no-core shell model using the J-matrix inverse scattering potential with A Show more

Cited by 120 publications

References 28 publications

Symmetry-guided large-scale shell-model theory

Symmetry-guided large-scale shell-model theory

Harmonic-oscillator excitations of precise few-body wave functions

Nucleon–Nucleon Interaction in the J-Matrix Inverse Scattering Approach and Few-Nucleon Systems

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