Elsevier

Nuclear Physics A

Volume 491, Issue 4, 23 January 1989, Pages 598-617
Nuclear Physics A

Shell-model calculation of a-hypernuclear spectra from (π+, K+) reactions

https://doi.org/10.1016/0375-9474(89)90520-4Get rights and content

Abstract

We present shell-model calculations of Λ-hypernuclear spectra from (π+, K+) reactions. Comparison is made with the recent data taken at Brookhaven. The reaction is described in a DWIA framework where the distortions are treated in a simplified eikonal approximation. The continuum part of the spectra is calculated with realistic Λ wave functions and added to the bound-state spectrum. Using potential parameters extracted from earlier (K, π) data on 12C and 16O our calculations agree reasonably well with the experiments without any additional parameter. For heavier hypernuclei, the agreement is less good, and a more quantitative treatment of distortion and nuclear structure effects is needed to account for absolute cross sections and their J dependence. Due to the more complicated neutron-hole structure in heavier Λ-hypernuclei, deeply bound S12 states appear as separate peaks only for nuclei up to 28Si. Possible improvements of our model are discussed qualitatively. We comment also on the question of partial quark deconfinement of the Λ-hyperon inside the hypernucleus.

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Work supported in part by BMFT, grant MEP 0234 REA.

1

Supported in part by Studienstiftung des deutschen Volkes.

2

New address: Siemens AG, UB-MED, Henkestraße 127, D-8520 Erlangen, West Germany.

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