Elsevier

Physics Letters B

Volume 143, Issues 1–3, 9 August 1984, Pages 19-24
Physics Letters B

Contribution of two-body correlations to the wave function of many-body systems

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Abstract

A solution of the Schrödinger equation including the two-body correlations is proposed. The convergence of the polynomial expansion of the wave function is investigated for the self-conjugate closed shell nuclei 4He, 16O, 40Ca. The results obtained for the ground states and first monopole excited states of these nuclei show that the correlations generated by the two-body interaction cannot be neglected.

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  • Cited by (11)

    • Method for solving the many-body bound state nuclear problem

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      The ground state energies Eg and root mean square radii rrms for the closed shell nuclei 4He, 16O, and 40Ca are given in Tables 4–6. The results were obtained in the extreme and uncoupled adiabatic approximations and are compared with other results obtained with cluster expansion method (FAHT) [31], Bruekner–Hartree–Fock type (BHF) [31], Fermi-Hyper-Netted-Chains (FNHC) [33], variational Monte Carlo (VMC) [34,35] as well with results obtained with hyperspherical harmonics expansion methods (HHE) [10]. We refer also to the work of Guardiola et al. [36] where more relevant results are compiled using various techniques.

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    Laboratoire Associé au CNRS.

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