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Relative sizes of $sup 40$ $sup 48$Ca from the scattering of 79 MeV $alpha$ particles

Journal Article · · Phys. Rev., C, v. 12, no. 3, pp. 778-794
OSTI ID:4188634

The scattering of 79.1 MeV $alpha$ particles from $sup 40$$,$$sup 48$Ca has been measured with high relative accuracy and analyzed with a folding model for the optical potential. The result for $delta$R, the difference between the $sup 40$$,$$sup 48$Ca rms matter radii, is $delta$R=0.05 plus-or-minus 0.04 fm. This result appears smaller than most previous measurements which employed Woods- Saxon potentials or diffraction analyses. Most of the discrepancies are removed when the definition of the matter radius used in each analysis is scrutinized. Combining $delta$R with the results of electromagnetic experiments yields the relative neutron-proton radius difference in $sup 48$Ca; R/subn/(48)-R/subp/(48) =0.03 plus-or-minus 0.08 fm. These results are compared with Hartree-Fock calculations which tend to produce larger differences. Possible reasons for this discrepancy are discussed.

Research Organization:
Cyclotron Institute and Physics Department, Texas AandM University, College Station, Texas 77843
NSA Number:
NSA-33-004385
OSTI ID:
4188634
Journal Information:
Phys. Rev., C, v. 12, no. 3, pp. 778-794, Journal Name: Phys. Rev., C, v. 12, no. 3, pp. 778-794; ISSN PRVCA
Country of Publication:
United States
Language:
English