<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="normal">C</mi></mrow><mrow><mn>13</mn></mrow></msup></mrow><mo>(</mo><mrow><msup><mrow><mi mathvariant="normal">He</mi></mrow><mrow><mn>3</mn></mrow></msup></mrow><mo>,</mo><mi> </mi><mi>α</mi><mo>)</mo><mrow><msup><mrow><mi mathvariant="normal">C</mi></mrow><mrow><mn>12</mn></mrow></msup></mrow></math> Reaction and Elastic Scattering of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="normal">He</mi></mrow><mrow><mn>3</mn></mrow></msup></mrow></math> from <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="normal">C</mi></mrow><mrow><mn>13</mn></mrow></msup></mrow></math> at 12, 15, and 18 MeV

E. M. Kellogg; R. W. Zurmühle

doi:10.1103/PhysRev.152.890

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$C^{13} ({He}^{3}, α) C^{12}$ Reaction and Elastic Scattering of ${He}^{3}$ from $C^{13}$ at 12, 15, and 18 MeV

E. M. Kellogg^* and R. W. Zurmühle

Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania

^*Present address: American Science & Engineering, Inc., Cambridge, Massachusetts.

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Phys. Rev. 152, 890 – Published 16 December, 1966

DOI: https://doi.org/10.1103/PhysRev.152.890

Abstract

The $C^{13} ({He}^{3}, α) C^{12}$ reaction was studied at 12, 15, and 18 MeV. Complete angular distributions of elastically scattered ${He}^{3}$ as well as those of $α$ particles leading to the ground, 4.433-, 7.656-, 9.64-, 10.84-, 11.83-, and 12.71-MeV states were measured. A set of optical-model parameters that fits the elastic-scattering cross section of ${He}^{3}$ at all three energies was found with the hunter program. It shows only a slight negative energy dependence of the real well depth and a positive energy dependence of the imaginary well depth. Distorted-wave Born approximation (julie) analysis shows pickup of $l = 1 or 0$ for all excepting the 9.64-MeV state, where $l = 2$ is found. Relative spectroscopic factors were extracted.

References (25)

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[c1] E. F. Bennett, Phys. Rev. 122, 595 (1961)

[c2] E. Almquist, D. A. Bromley, A. J. Ferguson, H. E. Gove, and A. E. Litherland, Phys. Rev. 114, 1040 (1959)

[c3] H. D. Holmgren, E. H. Geer, R. L. Johnston, and E. A. Wolicki, Phys. Rev. 106, 100 (1957)

[c4] R. Barjon, M. Lambert, and J. Schmouker, J. Phys. Radium 21, 356 (1960)

[c5] H. D. Holmgren and E. A. Wolicki, in Proceedings of the Rutherford Jubilee International Conference 1961, edited by J. B. Berks (Academic Press Inc., New York, 1961)

[c6] V. K. Deshpande, Nucl. Phys. 70, 561 (1965)

[c7] G. C. Phillips and J. E. Richardson, Rev. Sci. Instr. 21, 885 (1950)

[c8] R. W. Zurmühle, Nucl. Instr. Methods 36, 168 (1965)

[c9] R. H. Bassel, R. M. Drisko and G. R. Satchler, Oak Ridge National Laboratory Report No. ORNL-3240 (unpublished) R. H. Bassel (private communication)

[c10] G. E. Owen, L. Madansky, and S. Edwards, Phys. Rev. 113, 1575 (1959)

[c11] E. B. Carter, G. E. Mitchell, and R. H. Davis, Phys. Rev. 133, B1421 (1964)

[c12] G. Igo and R. M. Thaler, Phys. Rev. 106, 126 (1957)

[c13] Takashi Mikumo, J. Phys. Soc. Japan 16, 1066 (1961)

[c14] J. Aguilar et al., Proc. Roy. Soc. (London) A254, 400 (1960)

[c15] R. H. Bassel (private communication)

[c16] P. E. Hodgson, The Optical Model of Elastic Scattering (The Oxford Press, Oxford, 1963)

[c17] B. Buck and J. R. Rook, Nucl. Phys. 67, 504 (1965)

[c18] L. L. Lee, Jr., and J. P. Schiffer, Phys. Rev. Letters 12, 108 (1964) Phys. Rev. 136, B405 (1964)

[c19] L. L. Lee, Jr., A. Marinov, C. Mayer-Böricke, J. P. Schiffer, R. H. Bassel, R. M. Drisko, and G. R. Satchler, Phys. Rev. Letters 14, 261 (1965)

[c20] Claus Mayer-Böricke, R. H. Siemssen, and L. L. Lee, Jr., Bull. Am. Phys. Soc. 10, 26 (1965)

[c21] J. B. French, in Nuclear Spectroscopy, Part B, edited by F. Ajzenberg-Selove (Academic Press Inc., New York, 1960)

[c22] N. Vinh-Mau. and G. E. Brown, Nucl. Phys. 29, 89 (1962)

[c23] S. Mayo and A. I. Hamburger, Phys. Rev. 117, 832 (1960)

[c24] D. Hasselgren, P. U. Renberg, O. Sundberg, and G. Tibell, Phys. Letters 9, 166 (1964) L. I. Schiff, Phys. Rev. 98, 1281 (1955)

[c25] S. G. Nilsson and B. R. Mottelson, Kgl. Danske Vidensk Selskab, Mat. Fys. Skrifter 1, No. 8 (1959)

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$C^{13} ({He}^{3}, α) C^{12}$ Reaction and Elastic Scattering of ${He}^{3}$ from $C^{13}$ at 12, 15, and 18 MeV

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C13(He3, α)C12 Reaction and Elastic Scattering of He3 from C13 at 12, 15, and 18 MeV

Abstract

References (25)

$C^{13} ({He}^{3}, α) C^{12}$ Reaction and Elastic Scattering of ${He}^{3}$ from $C^{13}$ at 12, 15, and 18 MeV