Microscopic Calculation of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>6</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow><mml:mi>i</mml:mi></mml:math>Elastic and Transition Form Factors

Wiringa, R. B.; Schiavilla, R.

doi:10.1103/physrevlett.81.4317

Cited by 63 publications

(118 citation statements)

References 34 publications

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“…In particular, variational Monte Carlo and Green's function Monte Carlo results using realistic free NN interactions and phenomenological but theoretically motivated NNN interactions have been published up to A = 8 [31]. Very impressive agreement with experiment has been obtained for 6 Li(e, e ′ ) 6 Li form factors [32] and for 7 Li(e, e ′ p) 6 He momentum distributions and spectroscopic factors [33]. The last result emphasises the essential quasi-particle nature of the shell model and the role played by (short-range) correlations [34,35].…”

Section: Structure Calculationsmentioning

confidence: 57%

Structure of unstable light nuclei

Millener

2001

Nuclear Physics A

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The structure of light nuclei out to the drip lines and beyond up to Z ∼ 8 is interpreted in terms of the shell model. Special emphasis is given to the underlying supermultiplet symmetry of the p-shell nuclei which form cores for neutrons and protons added in sd-shell orbits. Detailed results are given on the wave functions, widths, and Coulomb energy shifts for a wide range of non-normal parity states in the p-shell.

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Section: Structure Calculationsmentioning

confidence: 57%

Structure of unstable light nuclei

Millener

2001

Nuclear Physics A

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“…Therefore the failure of the 6 Li quadrupole moment indicates that we have to consider the effect of the tensor force between the core and the valence nucleons. It should be noted that a variational Monte Carlo calculation gives the quadrupole moment of −0.23(9) efm 2 [42].…”

Section: A Spectroscopic Propertiesmentioning

confidence: 99%

Momentum distribution and correlation of two-nucleon relative motion inHe6andLi6

Horiuchi

Suzuki

2007

Phys. Rev. C

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The momentum distribution of relative motion between two nucleons gives information on the correlation in nuclei. The momentum distribution is calculated for both 6 He and 6 Li which are described in a three-body model of α+N +N . The ground state solution for the three-body Hamiltonian is obtained accurately using correlated basis functions. The momentum distribution depends on the potential model for the N -N interaction. With use of a realistic potential, the 6 He momentum distribution exhibits a dip around 2 fm −1 characteristic of S-wave motion. In contrast to this, the 6 Li momentum distribution is very similar to that of the deuteron; no dip appears because it is filled with the D-wave component arising from the tensor force.

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“…5.2) have unveiled that even the lightest of nuclei, exemplified by 6 Li, in their ground state exhibit considerable collectivity, as seen by the dominance of prolate deformed configurations in the 6 Li wave function. At the same time, these calculations closely reproduce the nearly vanishing 6 Li ground-state (gs) quadrupole moment of Q(1 + gs ) = −0.0818(17) efm 2 [38]. This quadrupole moment, an L = 2 operator, is in fact attributed to the considerable contribution of L = 0 configurations (∼ 87%) to the ground state.…”

Section: Introductionmentioning

confidence: 99%

“…Several ab initio nuclear-theory approaches have been recently advanced, including Green's function Monte Carlo (GFMC) [6,7], no-core shell model (NCSM) [8][9][10][11][12] together with NCSM with a core [13] and importance truncation NCSM [14], coupledcluster method (CC) [15,16], lattice effective field theory [17], in-medium SRG [18,19], symmetryadapted no-core shell model (SA-NCSM) [20], Monte Carlo NCSM [21], and self-consistent Green's function [22]. Ab initio approaches build upon a 'first principles' foundation.…”

Section: Introductionmentioning

confidence: 99%

Symmetry-guided large-scale shell-model theory

Launey

Dytrych

Draayer

2016

Progress in Particle and Nuclear Physics

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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Microscopic Calculation ofL6iElastic and Transition Form Factors

Cited by 63 publications

References 34 publications

Structure of unstable light nuclei

Structure of unstable light nuclei

Momentum distribution and correlation of two-nucleon relative motion inHe6andLi6

Symmetry-guided large-scale shell-model theory

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