Test of Sum Rules in Nucleon Transfer Reactions

J. P. Schiffer, C. R. Hoffman, B. P. Kay, J. A. Clark, C. M. Deibel, S. J. Freeman, A. M. Howard, A. J. Mitchell, P. D. Parker, D. K. Sharp, and J. S. Thomas
Phys. Rev. Lett. 108, 022501 – Published 10 January 2012

Abstract

The quantitative consistency of nucleon transfer reactions as a probe of the occupancy of valence orbits in nuclei is tested. Neutron-adding, neutron-removal, and proton-adding transfer reactions were measured on the four stable even Ni isotopes, with particular attention to the cross section determinations. The data were analyzed consistently in terms of the distorted wave Born approximation to yield spectroscopic factors. Valence-orbit occupancies were extracted, utilizing the Macfarlane-French sum rules. The deduced occupancies are consistent with the changing number of valence neutrons, as are the vacancies for protons, both at the level of <5%. While there has been some debate regarding the true “observability” of spectroscopic factors, the present results indicate that empirically they yield self-consistent results.

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  • Received 24 September 2011

DOI:https://doi.org/10.1103/PhysRevLett.108.022501

© 2012 American Physical Society

Authors & Affiliations

J. P. Schiffer1,*, C. R. Hoffman1, B. P. Kay1,†, J. A. Clark1, C. M. Deibel1,2,‡, S. J. Freeman3, A. M. Howard3,§, A. J. Mitchell3, P. D. Parker4, D. K. Sharp3, and J. S. Thomas3

  • 1Physics Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
  • 2Joint Institute for Nuclear Astrophysics, Michigan State University, East Lansing, Michigan 48824, USA
  • 3Schuster Laboratory, University of Manchester, Manchester M13 9PL, United Kingdom
  • 4A. W. Wright Nuclear Structure Laboratory, Yale University, New Haven, Connecticut 06520, USA

  • *schiffer@anl.gov
  • Present address: Physics Department, University of York, Heslington, York YO10 5DD, United Kingdom.
  • Present address: Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803, USA.
  • §Present address: Department of Physics, University of Notre Dame, Notre Dame, IN 46556, USA.

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Issue

Vol. 108, Iss. 2 — 13 January 2012

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