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Phys. Rev. Lett. 69, 3709–3712 (1992)

The shape eigenstate: A new kind of resonance

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W. D. M. Rae and A. C. Merchant
Department of Physics, University of Oxford, Nuclear Physics Laboratory, Keble Road, Oxford, OX1 3RH, United Kingdom

B. Buck
Department of Physics, University of Oxford, Theoretical Physics, Keble Road, Oxford, OX1 3NP, United Kingdom

Received 9 November 1992; published in the issue dated 28 December 1992

A new type of resonance appears to have been discovered in the 12C(12C,12C(02+))12C(02+) reaction at Ec.m.=33 MeV. We suggest that it is formed coherently from nearly degenerate resonances with different l values. Taking the individual resonances to be members of a cluster rotational band with 2n+l=const, the coherence can be shown to follow from Levinson’s theorem. The new kind of resonance does not have a definite angular momentum but corresponds to an approximate shape eigenstate.

© 1992 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.69.3709
DOI:
10.1103/PhysRevLett.69.3709
PACS:
25.70.Ef, 21.60.Gx, 24.30.Gd, 27.30.+t