Ground state wave functions in the hyperspherical formalism for nuclei with A>4
β Scribed by Nir Barnea; Winfried Leidemann; Giuseppina Orlandini
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 757 KB
- Volume
- 650
- Category
- Article
- ISSN
- 0375-9474
No coin nor oath required. For personal study only.
β¦ Synopsis
The general formulation of a technically advantageous method to find the ground state solution of the Schr6dinger equation in configuration space for systems with a number of particles A greater than 4 is presented. The wave function is expanded in pair-correlated hyperspherical harmonics beyond the lowest order approximation and then calculated in the Faddeev approach. A recent efficient recursive method to construct antisymmetric A-particle hyperspherical harmonics is used. The accuracy is tested for the bound state energies of nuclei with A = 6-12. The high quality of the obtained results becomes evident from a comparison with other approaches. (~) 1999 Published by Elsevier Science B.V.
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The Ii; ground state energy is calculated over the range of internuclear separation from R = 0.2 ZLLI to R = 8 .Q au, using a T,apIace transform-type wave function. he type functions with the weighting function f(~,p, (u) =&+9) 7 2 integral transform is made on Staterexp (-$NY/~). The electronic ene
## Abstract Combined CIβHY method techniques have been employed in obtaining a 57βterm CIβHY wave function with an energy of β14.66632 a.u. A method due to Brown has been adopted for obtaining this wave function and various shorter expansions. A 44βterm expansion with an energy of β14.66606 a.u. is