Role of the Pauli Principle in Collective-Model Coupled-Channel Calculations

L. Canton, G. Pisent, J. P. Svenne, D. van der Knijff, K. Amos, and S. Karataglidis

Phys. Rev. Lett. 94, 122503 – Published 1 April 2005

Abstract

A multichannel algebraic scattering theory, to find solutions of coupled-channel scattering problems with interactions determined by collective models, has been structured to ensure that the Pauli principle is not violated. By tracking the results in the zero coupling limit, a correct interpretation of the subthreshold and resonant spectra of the compound system can be made. As an example, the neutron- ${}^{12}C$ system is studied defining properties of ${}^{13}C$ to 10 MeV excitation. Accounting for the Pauli principle in collective coupled-channels models is crucial to the outcome.

Received 22 September 2004

DOI:https://doi.org/10.1103/PhysRevLett.94.122503

Authors & Affiliations

L. Canton^1,*, G. Pisent^1,†, J. P. Svenne^2,‡, D. van der Knijff^3,§, K. Amos^4,∥, and S. Karataglidis^4,¶

¹Istituto Nazionale di Fisica Nucleare, Sezione di Padova, e Dipartimento di Fisica dell’Università di Padova, via Marzolo 8, Padova I-35131, Italia
²Department of Physics and Astronomy, University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2, and Winnipeg Institute for Theoretical Physics, Winnipeg, Manitoba, Canada R3T 2N2
³Advanced Research Computing, Information Division, University of Melbourne, Victoria 3010, Australia
⁴School of Physics, University of Melbourne, Victoria 3010, Australia

^*Electronic address: luciano.canton@pd.infn.it
^†Electronic address: gualtiero.pisent@pd.infn.it
^‡Electronic address: svenne@physics.umanitoba.ca
^§Electronic address: dirk@unimelb.edu.au
^∥Electronic address: amos@physics.unimelb.edu.au
^¶Electronic address: kara@physics.unimelb.edu.au

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Vol. 94, Iss. 12 — 1 April 2005

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