Variational and Green`s function Monte Carlo calculations of few-body nuclei

Wiringa, R. B.; Carlson, J.; Pandharipande, V.R.; Pudliner, B.S.

doi:10.2172/166456

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“…For the A ≤ 7 nuclei, these wave functions minimize the expectation value of a Hamiltonian consisting of the Argonne v 18 two-nucleon and Urbana IX three-nucleon potentials [7] (for A = 6,7 the minimization is constrained by the experimental rms radii); a detailed description of the form of the wave functions is given in Refs. [9,10]. The wave function for 16 O was obtained from the variationally best wave function by slightly increasing the radius of the single-particle part of the wave function so as to reproduce the experimental rms radius of 16 O.…”

Section: The Two-nucleon Density Distributions In Nucleimentioning

confidence: 99%

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Femtometer toroidal structures in nuclei

et al. 1996

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The two-nucleon density distributions in states with isospin T = 0, spin S=1 and projection M S =0 and ±1 are studied in 2 H, 3,4 He, 6,7 Li and 16 O. The equidensity surfaces for M S =0 distributions are found to be toroidal in shape, while those of M S =±1 have dumbbell shapes at large density. The dumbbell shapes are generated by rotating tori. The toroidal shapes indicate that the tensor correlations have near maximal strength at r < 2 fm in all these nuclei. They provide new insights and simple explanations of the structure and electromagnetic form factors of the deuteron, the quasi-deuteron model, and the dp, dd and αd L=2 (D-wave) components in 3 He, 4 He and 6 Li. The toroidal distribution has a maximum-density diameter of ∼1 fm and a halfmaximum density thickness of ∼0.9 fm. Many realistic models of nuclear forces predict these values, which are supported by the observed electromagnetic form factors of the deuteron, and also predicted by classical Skyrme effective Lagrangians, related to QCD in the limit of infinite colors. Due to the rather small size of this structure, it could have a revealing relation to certain aspects of QCD. Experiments to probe this structure and its effects in nuclei are suggested. Pair distribution functions in other T, S channels are also discussed; those in T, S = 1, 1 have anisotropies expected from one-pion exchange interactions. The tensor correlations in T, S = 0, 1 states are found to deplete the number of T, S = 1, 0 pairs in nuclei and cause a reduction in nuclear binding energies via many-body effects.

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Section: The Two-nucleon Density Distributions In Nucleimentioning

confidence: 99%

“…Accurate variational wave functions Ψ v , which contain less than 0.5% admixture of excited states are known for A = 3 and 4 nuclei [9]. The available Ψ v for 6,7 Li [10] and 16 O [11,12] are certainly not as accurate as those for A = 3 and 4, nevertheless they presumably contain most of the important structure of the Ψ 0 .…”

Section: Introductionmentioning

confidence: 99%