Neutron Total Cross Sections, 2.5-15 MeV. II. Effects of Nuclear Deformation

Dale W. Glasgow; D. Graham Foster, Jr

doi:10.1103/PhysRevC.3.604

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Neutron Total Cross Sections, 2.5-15 MeV. II. Effects of Nuclear Deformation

Dale W. Glasgow^*,†

D. Graham Foster, Jr.^‡

Pacific Northwest Laboratory, Battelle Memorial Institute, Richland, Washington 99352
Aerospace Research Laboratories, Wright-Patterson Air Force Base, Ohio 45433

Pacific Northwest Laboratory, Battelle Memorial Institute, Richland, Washington 99352

^*Present address: Aerospace Research Laboratories, Wright-Patterson Air Force Base, Ohio 45433.
^†Part of the research was performed at the U.S.A.F. Aerospace Research Laboratories while in the capacity of an Ohio State University Research Foundation Visiting Research Associate under Contract No. F33615-67-C-1758.
^‡Present address: Los Alamos Scientific Laboratory, Los Alamos, New Mexico 87544.

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Phys. Rev. C 3, 604 – Published 1 February, 1971

DOI: https://doi.org/10.1103/PhysRevC.3.604

Abstract

A spherical nonlocal optical-model analysis was performed on a homogeneous set of moderate-precision neutron total cross sections for 78 elements and 14 separated isotopes. The presence of fluctuations in the cross sections prevents the effective application of the optical model for nuclei with $A < 45$ unless the data are averaged over many experimental resolution widths. The dependence of the magnitude of the fluctuations on the ground-state spin of the target nucleus was observed. The analysis of the data for 46 spherical or soft nuclei within the regions $46 <~ A <~ 150$ and $188 <~ A <~ 206$ , 2 transitional nuclei within the region $185 <~ A <~ 187$ , and 19 hard-deformed nuclei within the regions $152 <~ A <~ 184$ and $228 <~ A <~ 239$ clearly indicates the effects of nuclear deformation. The spherical nonlocal optical potential of Perey and Buck describes (within 3%) the interaction of fast neutrons ( $3.0 <~ E_{n} <~ 15.0$ MeV) with 46 spherical or soft nuclei. The analysis yields considerably less accurate (17%) results for the 19 hard-deformed nuclei. The surface thickness is approximately the same for all spherical nuclei (with the possible exception of light nuclei below $A = 46$ ), to the extent that the nonlocal optical potential has the same form as the nuclear-matter distribution. The systematic nature of the deviations of the data from the theoretical predictions leads to a conjecture which spans the mass range $45 <~ A <~ 239$ .

References (27)

D. G. Foster, Jr., and D. W. Glasgow, [Phys. Rev. C 3, 576 (1971)]
D. W. Glasgow and D. G. Foster, Jr., Phys. Rev. Letters 22, 139 (1969)
D. W. Glasgow and D. G. Foster, Jr., Bull. Am. Phys. Soc. 14, 39 (1969)
F. Perey and B. Buck, Nucl. Phys. 32, 353 (1962)
H. Feshbach, Ann. Phys. (N.Y.) 5, 357 (1958) R. E. Schenter, Nucl. Phys. A94, 408 (1967)
A. Bohr and B. R. Mottelson, in Nuclear Structure (W. A. Benjamin, Inc., New York, 1969), Vol. 1, p. 218
T. Tamura, Rev. Mod. Phys. 37, 679 (1965)
J. T. Reynolds, C. J. Slavik, C. R. Lubitz, and N. C. Francis, Phys. Rev. 176, 1213 (1968)
G. E. Brown, in Proceedings of the International Congress on Nuclear Physics, Paris, 1964, edited by P. Gugenberger (Centre National de la Recherche Scientifique, Paris, France, 1964), Vol. I, p. 129
B. Block and H. Feshbach, Ann. Phys. (N.Y.) 23, 47 (1963) A. K. Kerman, L. S. Rodberg, and J. E. Young, Phys. Rev. Letters 11, 422 (1963) R. H. Lemmer and C. M. Shakin, Ann. Phys. (N.Y.) 27, 13 (1964) A. Lande and B. Block, Phys. Rev. Letters 12, 334 (1964) H. Feshbach, Rev. Mod. Phys. 36, 1076 (1964) H. Feshbach, A. K. Kerman, and R. H. Lemmer, Ann. Phys. (N.Y.) 41, 230 (1967)
T. Ericson, Ann. Phys. (N.Y.) 23, 390 (1963)
I. R. Afnan, Phys. Rev. 163, 1016 (1967)
J. Bar-Touv and A. Goswami, Phys. Letters 28B, 391 (1969)
H. Feshbach, Ann. Phys. (N.Y.) 19, 287 (1962)
J. D. McCullen, B. F. Bayman, and L. Zamick, Phys. Rev. 134, B515 (1964)
L. S. Kisslinger and R. A. Sorenson, Rev. Mod. Phys. 35, 853 (1963)
R. K. Sheline, T. Sikkeland, and R. N. Chanda, Phys. Rev. Letters 7, 446 (1961)
E. Marshalek, L. W. Person, and R. K. Sheline, Rev. Mod. Phys. 35, 108 (1963)
K. Kumar and M. Baranger, Phys. Rev. Letters 12, 73 (1964)
F. Ackermann, E. W. Otten, G. ZuPutlitz, A. Schenck, and S. Ullrich, Phys. Letters 26B, 367 (1968)
K. Kumar and M. Baranger, Nucl. Phys. A110, 529 (1968)
M. Sakai, Nucl. Phys. A104, 301 (1967)
H. Marshak, A. Langsford, C. Y. Wong, and T. Tamura, Phys. Rev. Letters 20, 554 (1968)
D. M. Chase, L. Wilets, and A. R. Edmonds, Phys. Rev. 110, 1080 (1958)
B. Buck and F. Perey, Phys. Rev. Letters 8, 444 (1962)
B. Baldoni and A. M. Saruis, Nuovo Cimento 33, 1145 (1964)
N. K. Glendenning, in Nuclear Structure and Nuclear Reactions, Proceedings of the International School of Physics "Enrico Fermi," Course XL, edited by M. Jean (Academic Press Inc., New York, 1969)

[c1] D. G. Foster, Jr., and D. W. Glasgow, [Phys. Rev. C 3, 576 (1971)]

[c2] D. W. Glasgow and D. G. Foster, Jr., Phys. Rev. Letters 22, 139 (1969)

[c3] D. W. Glasgow and D. G. Foster, Jr., Bull. Am. Phys. Soc. 14, 39 (1969)

[c4] F. Perey and B. Buck, Nucl. Phys. 32, 353 (1962)

[c5] H. Feshbach, Ann. Phys. (N.Y.) 5, 357 (1958) R. E. Schenter, Nucl. Phys. A94, 408 (1967)

[c6] A. Bohr and B. R. Mottelson, in Nuclear Structure (W. A. Benjamin, Inc., New York, 1969), Vol. 1, p. 218

[c7] T. Tamura, Rev. Mod. Phys. 37, 679 (1965)

[c8] J. T. Reynolds, C. J. Slavik, C. R. Lubitz, and N. C. Francis, Phys. Rev. 176, 1213 (1968)

[c9] G. E. Brown, in Proceedings of the International Congress on Nuclear Physics, Paris, 1964, edited by P. Gugenberger (Centre National de la Recherche Scientifique, Paris, France, 1964), Vol. I, p. 129

[c10] B. Block and H. Feshbach, Ann. Phys. (N.Y.) 23, 47 (1963) A. K. Kerman, L. S. Rodberg, and J. E. Young, Phys. Rev. Letters 11, 422 (1963) R. H. Lemmer and C. M. Shakin, Ann. Phys. (N.Y.) 27, 13 (1964) A. Lande and B. Block, Phys. Rev. Letters 12, 334 (1964) H. Feshbach, Rev. Mod. Phys. 36, 1076 (1964) H. Feshbach, A. K. Kerman, and R. H. Lemmer, Ann. Phys. (N.Y.) 41, 230 (1967)

[c11] T. Ericson, Ann. Phys. (N.Y.) 23, 390 (1963)

[c12] I. R. Afnan, Phys. Rev. 163, 1016 (1967)

[c13] J. Bar-Touv and A. Goswami, Phys. Letters 28B, 391 (1969)

[c14] H. Feshbach, Ann. Phys. (N.Y.) 19, 287 (1962)

[c15] J. D. McCullen, B. F. Bayman, and L. Zamick, Phys. Rev. 134, B515 (1964)

[c16] L. S. Kisslinger and R. A. Sorenson, Rev. Mod. Phys. 35, 853 (1963)

[c17] R. K. Sheline, T. Sikkeland, and R. N. Chanda, Phys. Rev. Letters 7, 446 (1961)

[c18] E. Marshalek, L. W. Person, and R. K. Sheline, Rev. Mod. Phys. 35, 108 (1963)

[c19] K. Kumar and M. Baranger, Phys. Rev. Letters 12, 73 (1964)

[c20] F. Ackermann, E. W. Otten, G. ZuPutlitz, A. Schenck, and S. Ullrich, Phys. Letters 26B, 367 (1968)

[c21] K. Kumar and M. Baranger, Nucl. Phys. A110, 529 (1968)

[c22] M. Sakai, Nucl. Phys. A104, 301 (1967)

[c23] H. Marshak, A. Langsford, C. Y. Wong, and T. Tamura, Phys. Rev. Letters 20, 554 (1968)

[c24] D. M. Chase, L. Wilets, and A. R. Edmonds, Phys. Rev. 110, 1080 (1958)

[c25] B. Buck and F. Perey, Phys. Rev. Letters 8, 444 (1962)

[c26] B. Baldoni and A. M. Saruis, Nuovo Cimento 33, 1145 (1964)

[c27] N. K. Glendenning, in Nuclear Structure and Nuclear Reactions, Proceedings of the International School of Physics "Enrico Fermi," Course XL, edited by M. Jean (Academic Press Inc., New York, 1969)

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Neutron Total Cross Sections, 2.5-15 MeV. II. Effects of Nuclear Deformation

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Neutron Total Cross Sections, 2.5-15 MeV. I. Experimental

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