Ground state wave functions in the hyperspherical formalism for nuclei with A > 4

Nir Barnea; Winfried Leidemann; Giuseppina Orlandini

doi:10.1016/S0375-9474(99)00113-X

Ground state wave functions in the hyperspherical formalism for nuclei with A > 4

Nir Barnea^*, Winfried Leidemann, Giuseppina Orlandini

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

44 Scopus citations

Abstract

The general formulation of a technically advantageous method to find the ground state solution of the Schrödinger 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.

Original language	English
Pages (from-to)	427-442
Number of pages	16
Journal	Nuclear Physics A
Volume	650
Issue number	4
DOIs	https://doi.org/10.1016/S0375-9474(99)00113-X
State	Published - 26 Apr 1999
Externally published	Yes

Keywords

A > 4
Few-body
Hyperspherical harmonics

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10.1016/S0375-9474(99)00113-X

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title = "Ground state wave functions in the hyperspherical formalism for nuclei with A > 4",

abstract = "The general formulation of a technically advantageous method to find the ground state solution of the Schr{\"o}dinger 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.",

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T1 - Ground state wave functions in the hyperspherical formalism for nuclei with A > 4

AU - Barnea, Nir

AU - Leidemann, Winfried

AU - Orlandini, Giuseppina

PY - 1999/4/26

Y1 - 1999/4/26

N2 - The general formulation of a technically advantageous method to find the ground state solution of the Schrödinger 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.

AB - The general formulation of a technically advantageous method to find the ground state solution of the Schrödinger 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.

KW - A > 4

KW - Few-body

KW - Hyperspherical harmonics

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JO - Nuclear Physics A

JF - Nuclear Physics A

IS - 4

ER -

Ground state wave functions in the hyperspherical formalism for nuclei with A > 4

Abstract

Keywords

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