Shell-Model Calculation for Masses 27, 28, and 29: General Methods and Specific Applications to <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi mathvariant="normal">Al</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>27</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi mathvariant="normal">Si</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>28</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math>, and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi mathvariant="normal">Si</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>29</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math>

B. H. Wildenthal; J. B. McGrory

doi:10.1103/PhysRevC.7.714

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Shell-Model Calculation for Masses 27, 28, and 29: General Methods and Specific Applications to ${}^{27}{Al}$ , ${}^{28}{Si}$ , and ${}^{29}{Si}$

B. H. Wildenthal^*

J. B. McGrory^†

Cyclotron Laboratory and Physics Department, Michigan State University, East Lansing, Michigan 48823

Oak Ridge National Laboratory, Oak Ridge, Tennessee 37830

^*Research supported in part by the National Science Foundation.
^†Research sponsored by the U. S. Atomic Energy Commission under contract with the Union Carbide Corporation.

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Phys. Rev. C 7, 714 – Published 1 February, 1973

DOI: https://doi.org/10.1103/PhysRevC.7.714

Abstract

A shell-model calculation for $A = 27, 28, and 29$ nuclei has been carried out in a truncated $0 d_{\frac{5}{2}} - 1 s_{\frac{1}{2}} - 0 d_{\frac{3}{2}}$ basis space with a modified-surface- $δ$ -interaction Hamiltonian. A comparison of the calculated results for level energies, single-nucleon spectroscopic factors and $E 2$ and $M 1$ transition strengths in ${}^{27}{Al}$ , ${}^{28}{Si}$ , and ${}^{29}{Si}$ with the corresponding experimental values indicates that a unified and quantitive explanation of nuclear structure around $A = 28$ can be obtained via shell-model techniques.

References (44)

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[c1] M. J. A. de Voigt, P. W. M. Glaudemans, J. de Boer, and B. H. Wildenthal, Nucl. Phys. A186, 365 (1972)

[c2] M. J. A. de Voigt and B. H. Wildenthal, to be published

[c3] P. M. Endt and C. van der Leun, Nucl. Phys. A105, 1 (1967)

[c4] V. K. Thankappan, Phys. Rev. 141, 957 (1966)

[c5] D. Evers, J. Hertel, T. W. Retz-Schmidt, and S. J. Skorka, Nucl. Phys. A91, 472 (1967)

[c6] K. H. Bhatt, Nucl. Phys. 39, 375 (1962)

[c7] T. R. Ophel and B. T. Lawergren, Nucl. Phys. 52, 417 (1964)

[c8] M. B. Lewis, N. R. Roberson, and D. R. Tilley, Phys. Rev. 163, 1238 (1967)

[c9] H. Ropke, V. Glattes, and G. Hammel, Nucl. Phys. A156, 477 (1970)

[c10] D. Dehnhard, Phys. Letters 38B, 389 (1972)

[c11] J. P. Bernier and M. Harvey, Nucl. Phys. A94, 593 (1967)

[c12] S. Das Gupta and M. Harvey, Nucl. Phys. A94, 602 (1967)

[c13] B. Castel and J. P. Svenne, Nucl. Phys. A127, 141 (1969)

[c14] B. Castel and J. C. Parikh, Phys. Rev. C 1, 990 (1970)

[c15] A. De-Shalit and I. Talmi, Yale University (unpublished)

[c16] A. A. Pilt, R. H. Spear, R. V. Elliott, and J. A. Kuehner, Can. J. Phys. 49, 1263 (1971)

[c17] F. G. Bailey and D. C. Choudhury, Nucl. Phys. A144, 628 (1970)

[c18] B. Castel and K. W. C. Stewart, Phys. Rev. C 3, 964 (1971) B. Castel, K. W. C. Stewart, and M. Harvey, Can. J. Phys. 48, 1490 (1970)

[c19] D. A. Bromley, H. E. Gove, and A. E. L. Litherland, Can. J. Phys. 35, 1057 (1957)

[c20] R. Arvieu and S. A. Moszkowski, Phys. Rev. 145, 830 (1966)

[c21] P. W. M. Glaudemans, B. H. Wildenthal, and J. B. McGrory, Phys. Letters 21, 427 (1966)

[c22] E. C. Halbert, J. B. McGrory, B. H. Wildenthal, and S. P. Pandya, in Advances in Nuclear Physics, edited by M. Baranger and E. Vogt (Plenum, New York, 1971), Vol. IV

[c23] B. H. Wildenthal, E. C. Halbert, J. B. McGrory, and T. T. S. Kuo, Phys. Rev. C 4, 1266 (1971)

[c24] B. H. Wildenthal, J. B. McGrory, E. C. Halbert, and H. D. Graber, Phys. Rev. C 4, 1708 (1971)

[c25] J. B. French, E. C. Halbert, J. B. McGrory, and S. S. M. Wong, in Advances in Nuclear Physics ([22]), Vol. III

[c26] P. W. M. Glaudemans and B. H. Wildenthal, unpublished [22]

[c27] W. Bohne et al., Nucl. Phys. A131, 273 (1969)

[c28] W. P. Alford et al., Nucl. Phys. A130, 119 (1969)

[c29] M. J. A. de Voigt, J. W. Maas, De. Veenhof, and C. van der Leun, Nucl. Phys. A170, 449 (1971)

[c30] B. H. Wildenthal and E. Newman, Phys. Rev. 167, 1027 (1968)

[c31] H. E. Gove et al., Nucl. Phys. A116, 369 (1968)

[c32] R. W. Barnard and G. D. Jones, Nucl. Phys. A108, 641 (1968)

[c33] F. Pellegrini et al., Phys. Rev. C 2, 1440 (1970)

[c34] G. J. Wagner, Nucl. Phys. A176, 47 (1971)

[c35] F. C. P. Huang and D. K. McDaniels, Phys. Rev. C 2, 1342 (1970) F. C. P. Huang, E. F. Gibson, and D. K. McDaniels, ibid. 3, 1222 (1971)

[c36] S. T. Lam, A. E. Litherland, and T. K. Alexander, Can. J. Phys. 47, 1342 (1970)

[c37] D. Dehnhard and J. L. Yntema, Phys. Rev. C 2, 1390 (1970)

[c38] M. C. Mermaz, C. A. Whitten, Jr., J. W. Champlin, A. J. Howard, and D. A. Bromley, Phys. Rev. C 4, 1778 (1971)

[c39] D. Dehnhard and J. L. Yntema, Phys. Rev. 163, 1198 (1967)

[c40] T. T. Bardin, J. A. Becker, T. R. Fisher, and A. D. W. Jones, Phys. Rev. C 4, 1625 (1971)

[c41] D. C. Bailey et al., J. Phys. A5, 596 (1972)

[c42] I. G. Main et al., Nucl. Phys. A158, 364 (1970)

[c43] O. Häusser et al., Phys. Rev. Letters 23, 320 (1969)

[c44] D. Schwalm et al., Nucl. Phys. A192, 449 (1972)

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Shell-Model Calculation for Masses 27, 28, and 29: General Methods and Specific Applications to ${}^{27}{Al}$ , ${}^{28}{Si}$ , and ${}^{29}{Si}$

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Shell-Model Calculation for Masses 27, 28, and 29: General Methods and Specific Applications to Al27, Si28, and Si29

Abstract

References (44)

Shell-Model Calculation for Masses 27, 28, and 29: General Methods and Specific Applications to ${}^{27}{Al}$ , ${}^{28}{Si}$ , and ${}^{29}{Si}$