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A two-body cluster model of the nucleus

Tombrello, T. A. and Phillips, G. C. (1960) A two-body cluster model of the nucleus. Nuclear Physics, 20 . pp. 648-662. ISSN 0029-5582.

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Calculations are presented for coupled Schrödinger equations which develop the detailed behavior predicted by the two-body cluster model described in a preceding paper. The results show that: 1) narrow resonances in the scattering cross section may be quantitatively described by this model, 2) the cross section in the neighborhood of the threshold of another channel shows the Wigner cusp, and 3) the configuration mixing of bound states is a necessary consequence of the model. As an example, the model is used as a means of parameterizing the lowest states in C^(13). This method allows a fit to the scattering phase shift and the level structure, at the same time making a definite prediction of the fractional parentage of the bound state.

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Additional Information:© 1960 North-Holland Publishing Co., Amsterdam. Received 20 June 1960. National Science Foundation Fellow in Physics. Work supported in part by the U. S. Atomic Energy Commission. The authors wish to thank Dr. Noyes Smith and Arnold Romberg of the Shell Development Company for their generosity in allowing us free use of their IBM-650 and other computational facilities.
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Atomic Energy CommissionUNSPECIFIED
Record Number:CaltechAUTHORS:20150422-095638036
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Official Citation:T.A. Tombrello, G.C. Phillips, A two-body cluster model of the nucleus, Nuclear Physics, Volume 20, October–November 1960, Pages 648-662, ISSN 0029-5582, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:56862
Deposited By: Ruth Sustaita
Deposited On:22 Apr 2015 19:14
Last Modified:03 Oct 2019 08:18

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