Separation of realistic nuclear forces in terms of Talmi integrals

Koh, Yoon Suk; Goldhammer, Paul

doi:10.1103/physrevc.19.487

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Model Spaces and Effective Interactions1

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1980

1986

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“…The effective interactions used were derived from the realistic Reid soft-core interaction. This renormalised, realistic interaction was parameterised in terms of empirically determined Talmi integrals which were obtained in a fit to experimental energy levels [3,5]. In the case of ~2C, the Talmi integrals for the (0 +2)hco model space were obtained in a fit to 21 experimental ground state levels in the mass range A =4-16 giving he)= 10.602 MeV [3].…”

Section: Model Spaces and Effective Interactionsmentioning

confidence: 99%

Shell-model calculation of the spectral function for l=0 proton states in12C

Dean¹,

Brussaard²

1986

Z. Physik A - Atomic Nuclei

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Section: Model Spaces and Effective Interactionsmentioning

confidence: 99%

Shell-model calculation of the spectral function for l=0 proton states in12C

Dean¹,

Brussaard²

1986

Z. Physik A - Atomic Nuclei

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Perturbation procedure for strong short ranged interactions

Goldhammer

1980

Phys. Rev. C

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Separation of nuclear forces and perturbation theory

Goldhammer

1981

Phys. Rev. C

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The binding energy of the a particle is calculated to provide an example of the properties of the refined Brillouin-Wigner perturbation procedure. The potential consists of a series of Gaussian functions which are fitted to the Reid soft core potential. The terms in the perturbation series are evaluated in closed form, allowing critical tests of the number of oscillator states needed for precise calculations and the importance of multiparticle terms. The resulting formalism is similar to the separation method of Moszkowski and Scott, but in this case the nuclear force is separated into three parts. The divergent part of the strong short range repulsion is deducted from the perturbation series, even with the multiparticle terms. The relatively weak long range attractive part of the force is well adapted to ordinary perturbation theory. Finally one has an intermediate range component of the interaction which provides most of the binding energy in nuclear bound states. NUCLEAR STRUCTURE Variational perturbation method. Reid soft core potential. He.

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Separation of realistic nuclear forces in terms of Talmi integrals

Cited by 4 publications

References 8 publications

Shell-model calculation of the spectral function for l=0 proton states in12C

Shell-model calculation of the spectral function for l=0 proton states in12C

Perturbation procedure for strong short ranged interactions

Separation of nuclear forces and perturbation theory

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