Elastic and inelastic scattering of 50 MeV protons by 12C and 16O

doi:10.1016/0375-9474(67)90487-3

Nuclear Physics A

Volume 97, Issue 2, 25 April 1967, Pages 263-281

https://doi.org/10.1016/0375-9474(67)90487-3 Get rights and content

Abstract

Measurements are reported of the differential cross sections for the elastic scattering of 49.48 MeV protons by ¹²C and ¹⁶O, and the inelastic scattering leading to the 4.43 and 7.67 MeV levels of ¹²C. The results for ¹²C, together with values for polarization, are fitted by the optical model, and the parameters compared with revised fits of the 30.3 and 40 MeV data. The radius and the diffuseness of the spin-orbit potential are found to be smaller than the values for the central potential. The ¹²C elastic and 4.43 MeV inelastic data are fitted with a strong coupling model. Preliminary optical model parameters are given for the ¹⁶O data. It is evident from the present studies that there is a need for more measurements of polarization and differential cross sections at larger angles and of the total reaction cross section, in order to provide an adequate test of the applicability of the optical model.

References (21)

T. Tamura et al.
Phys. Lett.
(1964)
R.M. Craig et al.
Rutherford Laboratory P.L.A. Progress Report
(1965)
L.N. Blumberg et al.
Phys. Rev.
(1966)
M.P. Fricke et al.
Phys. Rev.
(1965)
S. Kobayashi
J. Phys. Soc. (Japan)
(1960)
C. Hu et al.
J. Phys. Soc. (Japan)
(1959)
F.G. Perey
Phys. Rev.
(1963)
L.N. Blumberg et al.
Bull. Am. Phys. Soc. Ser. II
(1965)
D.A. Lind et al.
Bull. Am. Phys. Soc. Ser. II
(1965)
D.J. Baugh et al.
Nuclear Physics
(1966)
G.W. Greenlees et al.
Phys. Rev.
(1966)
J.S. Nodvik et al.
Phys. Rev.
(1962)
B.W. Ridley et al.
Nuclear Physics
(1964)
J.K. Dickens et al.
Phys. Rev.
(1963)
R.C. Barrett et al.
Nuclear Physics
(1965)

There are more references available in the full text version of this article.

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^†: Now at The Daresbury Nuclear Physics Laboratory, Cheshire.

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Nuclear Physics A

Abstract

References (21)

Phys. Lett.

Rutherford Laboratory P.L.A. Progress Report

Phys. Rev.

Phys. Rev.

J. Phys. Soc. (Japan)

J. Phys. Soc. (Japan)

Phys. Rev.

Bull. Am. Phys. Soc. Ser. II

Bull. Am. Phys. Soc. Ser. II

Nuclear Physics

Phys. Rev.

Phys. Rev.

Nuclear Physics

Phys. Rev.

Nuclear Physics

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