Elsevier

Nuclear Physics A

Volume 394, Issue 3, 28 February 1983, Pages 387-396
Nuclear Physics A

The oscillator frequency in resonating-group-method calculations

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Abstract

For the example α-16O we present simple RGM calculations with equal (ω = ω′) and different (ωω′) oscillator frequencies for the two nuclei. In the case ωω′ and ωω′ the one-channel RGM space for angular momentum zero contains all 20Ne states with four particles in the s-d shell and total spatial symmetry ([⨍] = [4]). These states form a basis for low-lying excited 0+ states of 20Ne. The ωω′ calculation (as well for ωω′ as for realistic ω, ω') exhibits, therefore, resonances corresponding to these states. We present also the calculation for ω = ω′ where these physically important resonances are missing.

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    Second, some part of the obtained resonance states may be considered as the Pauli resonance states. Appearance of a large number of resonance states in cluster systems has been discovered many years ago (see, for example, Refs. [50–57]). In Refs. [58,59] it has been shown with a simple two-cluster model systems how the Pauli resonances appear in the resonating group method calculations when different oscillator lengths are used for the interacting clusters.

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