Classification of <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="normal">N</mi></mrow><mrow><mn>13</mn></mrow></msup></mrow></math></span> Levels by Partial Wave Analysis of Proton Scattering from <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="normal">C</mi></mrow><mrow><mn>12</mn></mrow></msup></mrow></math></span>

Herbert L. Jackson; Aaron I. Galonsky

doi:10.1103/PhysRev.84.401

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Classification of $N^{13}$ Levels by Partial Wave Analysis of Proton Scattering from $C^{12}$

Herbert L. Jackson^* and Aaron I. Galonsky

University of Wisconsin, Madison, Wisconsin

^*Kimberly-Clark Fellow.

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Phys. Rev. 84, 401 – Published 1 November, 1951

DOI: https://doi.org/10.1103/PhysRev.84.401

Abstract

The nature of the excited levels in $N^{13}$ between 2.24 and 5.64 Mev was investigated by analyzing the $C^{12} (p, p) C^{12}$ data of Goldhaber and Williamson. To carry out the analysis, the partial wave phase shifts were related to the level parameters by means of one level dispersion theory. Then by successive approximations of the level parameters, the partial wave expansion of the differential cross section for elastic scattering was fitted to the experimental curve. The analysis leads to the conclusion that the lower scattering anomaly is due to an $S_{\frac{1}{2}}$ level at 2.379 Mev above the ground state, and that the higher scattering anomaly results from a $P_{\frac{3}{2}}$ level at 3.501 Mev and a $D_{\frac{5}{2}}$ level at 3.549 Mev. Neither experiment nor analysis indicates any other levels in the range considered. It is shown that no other simple level assignment can account for the observed scattering cross section. The appearance of levels with $j = l + \frac{1}{2}$ instead of $j = l - \frac{1}{2}$ supports Mayer's hypothesis of level inversion in nuclei. The widths and energies of the levels obtained from the present analysis are in partial agreement with the values obtained from the ( $p, γ$ ) reaction.

References (14)

Bonner, Evans, and Hill, Phys. Rev. 75, 1398 (1949) R. C. Mobley and R. A. Laubenstein, 80, 309 (1950)
Gerson Goldhaber and R. M. Williamson, Phys. Rev. 82, 495 (1951)
C. L. Critchfield and D. C. Dodder, Phys. Rev. 76, 602 (1949)
E. P. Wigner and L. Eisenbud, Phys. Rev. 72, 29 (1947)
R. K. Adair, private communication
Bloch, Hull, Jr., Broyles, Bouricius, Freeman, and Breit, Revs. Modern Phys. 23, 147 (1951)
J. B. Ehrman, Phys. Rev. 81, 412 (1951)
R. A. Laubenstein, Ph.D. thesis, University of Wisconsin, 1950
Hornyak, Lauritsen, Morrison, and Fowler, Revs. Modern Phys. 22, 291 (1950)
W. A. Fowler and C. C. Lauritsen, Phys. Rev. 76, 314 (1949)
D. M. Van Patter, Phys. Rev. 76, 1264 (1949)
R. Malm and W. W. Buechner, Phys. Rev. 81, 519 (1951)
J. Rotblat, Proc. Harwell Nuclear Physics Conference, September, 1950
M. G. Mayer, Phys. Rev. 78, 16 (1950)

[c1] Bonner, Evans, and Hill, Phys. Rev. 75, 1398 (1949) R. C. Mobley and R. A. Laubenstein, 80, 309 (1950)

[c2] Gerson Goldhaber and R. M. Williamson, Phys. Rev. 82, 495 (1951)

[c3] C. L. Critchfield and D. C. Dodder, Phys. Rev. 76, 602 (1949)

[c4] E. P. Wigner and L. Eisenbud, Phys. Rev. 72, 29 (1947)

[c5] R. K. Adair, private communication

[c6] Bloch, Hull, Jr., Broyles, Bouricius, Freeman, and Breit, Revs. Modern Phys. 23, 147 (1951)

[c7] J. B. Ehrman, Phys. Rev. 81, 412 (1951)

[c8] R. A. Laubenstein, Ph.D. thesis, University of Wisconsin, 1950

[c9] Hornyak, Lauritsen, Morrison, and Fowler, Revs. Modern Phys. 22, 291 (1950)

[c10] W. A. Fowler and C. C. Lauritsen, Phys. Rev. 76, 314 (1949)

[c11] D. M. Van Patter, Phys. Rev. 76, 1264 (1949)

[c12] R. Malm and W. W. Buechner, Phys. Rev. 81, 519 (1951)

[c13] J. Rotblat, Proc. Harwell Nuclear Physics Conference, September, 1950

[c14] M. G. Mayer, Phys. Rev. 78, 16 (1950)

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Classification of $N^{13}$ Levels by Partial Wave Analysis of Proton Scattering from $C^{12}$

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Classification of N13 Levels by Partial Wave Analysis of Proton Scattering from C12

Abstract

References (14)

Classification of $N^{13}$ Levels by Partial Wave Analysis of Proton Scattering from $C^{12}$