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Determination of the proximity potential from sub-barrier fusion data

Inui, M. and Koonin, S. E. (1984) Determination of the proximity potential from sub-barrier fusion data. Physical Review C, 30 (1). pp. 175-183. ISSN 0556-2813. doi:10.1103/PhysRevC.30.175.

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Sub-barrier fusion cross sections for 12 systems involving p-shell nuclei are analyzed in an attempt to determine directly the universal form of the internucleus potential. We use a previously developed inversion procedure based on the Wentzel-Kramers-Brillouin approximation, which new model calculations presented here show to be highly accurate. The scaling implied by the proximity formulation is found to be roughly consistent with the data, with the structure of the colliding nuclei having little effect. The proximity function Φ determined from the data is consistent with the original function of Blocki et al. at intermediate separations, subject to the use of a different formula for the nuclear radii. Data for selected systems involving sd-shell nuclei lead to a more attractive potential than that found for the p-shell systems, while data for systems involving Ca isotopes exhibit "reentrant" barriers characteristic of a breakdown of the basic assumptions of the inversion procedure.

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Additional Information:©1984 The American Physical Society Received 20 December 1983 M. Inui gratefully acknowledges support by a California Institute of Technology Summer Undergraduate Research Fellowship during much of this work. We thank many of our colleagues in the Kellogg Radiation Laboratory anbd M. Beckerman and S.-C. Wu for discussions of experimental aspects. We are grateful to P. Braun-Munzinger for sending us data prior to publication. This work was supported in part by the National Science Foundation, Grants PHY82-17332 and PHY83-15500.
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Deposited On:06 Nov 2006
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