Determination of simple correlated wave functions for few-electron systems using a Jastrow factor

N. Umezawa, A. Sarsa, C. Le Sech, T. Chikyow

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3 Citations (Scopus)


Compact Jastrow-Slater-type correlated wave functions for three- and four-electron atoms and ions (Li, Be+, B2+, C3+, Be, B+, and C2+) are proposed. The Jastrow factor we employed consists of one-body and two-body functions including only two variational parameters in total. We found that a one-body Jastrow function with one variational parameter, which is responsible for the screening effect around the nucleus, is effective for reproducing good total energies of the three- and four-electron atomic systems if hydrogenoid orbitals are adopted in the Slater determinant. On the other hand, a determinant composed of Hartree-Fock orbitals multiplied by the same Jastrow factor was found to give rather worse results than that composed of hydrogenoid orbitals. This result clearly indicates that analytic hydrogenoid orbitals coupled with the one-body Jastrow function are useful for describing simple wave functions and understanding the physical properties of these systems.

Original languageEnglish
Article number012512
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number1
Publication statusPublished - 2006
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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