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A numerical comparison of three different approaches to the weak or intermediate coupling model for 2 particle — 1 hole states

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Zeitschrift für Physik

Abstract

The secular equation of the usual shell-model approach to 2 particle (p) — 1 hole (h) states is transcribed in such a way that it can be viewed as the simultaneous coupling of a hole to a (pp) vibrationand a particle to a particle-hole vibration. The resulting diagonalisation problem is built up by the subsolutions of the (ph) and (pp) TDA, i.e. no matrix elements of the bare two-body interaction enter the equations. We discuss the mathematical properties of the new equations and compare them to the usually applied formulation of the weak or intermediate coupling model. Finally we give a numerical study for the low-lying states of negative parity of O17.

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Authors and Affiliations

  1. Physik-Department der Technischen Universität München, Teilinstitut Theorie, Garching, West-Germany

    P. Ring & P. Schuck

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  1. P. Ring
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  2. P. Schuck
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Ring, P., Schuck, P. A numerical comparison of three different approaches to the weak or intermediate coupling model for 2 particle — 1 hole states. Z. Physik 269, 323–331 (1974). https://doi.org/10.1007/BF01668603

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  • DOI: https://doi.org/10.1007/BF01668603

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