Nuclear-structure dependence of <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>O</mi><mo>(</mo><mi>α</mi><mo>)</mo></math></span> corrections to Fermi decays and the value of the Kobayashi-Maskawa matrix element <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>V</mi></mrow><mrow><mi>ud</mi></mrow></msub></mrow></math></span>

W. Jaus; G. Rasche

doi:10.1103/PhysRevD.41.166

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Nuclear-structure dependence of $O (α)$ corrections to Fermi decays and the value of the Kobayashi-Maskawa matrix element $V_{ud}$

W. Jaus and G. Rasche

Institut für Theoretische Physik, Universität Zürich, CH-8001 Zürich, Schönberggasse 9, Switzerland

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Phys. Rev. D 41, 166 – Published 1 January, 1990

DOI: https://doi.org/10.1103/PhysRevD.41.166

Abstract

We calculate nuclear-structure corrections to the $ft$ values of the eight accurately measured superallowed $β^{+}$ decays. The statistical fit for the average $ft$ value is very good. The resulting new value for the matrix element of the Kobayashi-Maskawa (KM) matrix is $| V_{ud} | = 0.9735 (5)$ . The error in $| V_{ud} |$ has thus been reduced by 50%. Combining this value for $| V_{ud} |$ with the presently accepted results from kaon-, hyperon-, and $B$ -decay constraints, the unitarity of the KM matrix for three generations of quarks seems to be violated.

References (36)

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A. Sirlin and R. Zucchini, Phys. Rev. Lett. 57, 1994 (1986)
W. Jaus and G. Rasche, Phys. Rev. D 35, 3420 (1987)
W. Jaus and G. Rasche, Nucl. Phys. A143, 202 (1970)
A. Sirlin, Phys. Rev. D 35, 3423 (1987)
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L. Szybisz, V. M. Silbergleit, and J. I. Sidelnik, Phys. Lett. 122B, 131 (1983)
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A. Sirlin, Nucl. Phys. B71, 29 (1974) Rev. Mod. Phys. 50, 573 (1978)
A. Sirlin, Phys. Rev. 164, 1767 (1967)
W. Jaus, Nucl. Phys. B6, 408 (1968)
W. Jaus and W. S. Woolcock, Helv. Phys. Acta 57, 644 (1984)
W. W. True, Phys. Rev. 130, 1530 (1963)
I. S. Towner, A Shell Model Description of Light Nuclei (Oxford University, New York, 1977)
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[c1] W. J. Marciano and A. Sirlin, Phys. Rev. Lett. 56, 22 (1986)

[c2] A. Sirlin and R. Zucchini, Phys. Rev. Lett. 57, 1994 (1986)

[c3] W. Jaus and G. Rasche, Phys. Rev. D 35, 3420 (1987)

[c4] W. Jaus and G. Rasche, Nucl. Phys. A143, 202 (1970)

[c5] A. Sirlin, Phys. Rev. D 35, 3423 (1987)

[c6] V. T. Koslowsky et al., in Proceedings of the Seventh International Conference on Atomic Masses and Fundamental Constants, Seeheim, West Germany, 1984, edited by O. Klepper (Gesellschaft für Schwerionenforschung, Darmstadt, 1984), p. 572 J. C. Hardy, I. S. Towner, V. T. Koslowsky, E. Hagberg, and H. Schmeing, Report No. TASCC-P-89-4 (unpublished)

[c7] H. Behrens and J. Jänecke, Numerical Tables for Beta Decay and Electron Capture (Landolt-Börnstein, New Series Vol. I/4) (Springer, Berlin, 1969)

[c8] W. E. Ormand and B. A. Brown, Phys. Rev. Lett. 62, 866 (1989)

[c9] I. S. Towner and J. C. Hardy, Phys. Lett. 73B, 20 (1978)

[c10] L. Szybisz, V. M. Silbergleit, and J. I. Sidelnik, Phys. Lett. 122B, 131 (1983)

[c11] W. Jaus and G. Rasche, Aust. J. Phys. 39, 1 (1986)

[c12] A. Sirlin, Nucl. Phys. B71, 29 (1974) Rev. Mod. Phys. 50, 573 (1978)

[c13] A. Sirlin, Phys. Rev. 164, 1767 (1967)

[c14] W. Jaus, Nucl. Phys. B6, 408 (1968)

[c15] W. Jaus and W. S. Woolcock, Helv. Phys. Acta 57, 644 (1984)

[c16] W. W. True, Phys. Rev. 130, 1530 (1963)

[c17] I. S. Towner, A Shell Model Description of Light Nuclei (Oxford University, New York, 1977)

[c18] I. S. Towner, J. C. Hardy, and M. Harvey, Nucl. Phys. A284, 269 (1977)

[c19] L. Zamick, Phys. Lett. 21, 194 (1966)

[c20] S. Cohen and D. Kurath, Nucl. Phys. 73, 1 (1965)

[c21] G. Kühner, H. Behrens, H. Genz, and A. Richter (unpublished)

[c22] T. T. S. Kuo and G. E. Brown, Nucl. Phys. A114, 241 (1968)

[c23] F. A. Gareev, J. Bang, and R. M. Jamalejev, Phys. Lett. 49B, 239 (1974)

[c24] W. Jaus, Nucl. Phys. A177, 70 (1971)

[c25] B. A. Brown and B. H. Wildenthal, Annu. Rev. Nucl. Part. Sci. 38, 29 (1988)

[c26] B. H. Wildenthal, E. C. Halbert, J. B. McGrory, and T. T. S. Kuo, Phys. Rev. C 4, 1266 (1971)

[c27] A. E. L. Dieperink and P. W. M. Glaudemans, Phys. Lett. 28B, 531 (1969)

[c28] H. Behrens and W. Bühring, Electron Radial Wave Functions and Nuclear Beta-Decay (Clarendon, Oxford, 1982)

[c29] J. M. Feagin, E. Merzbacher, and W. J. Thompson, Phys. Lett. 81B, 107 (1979) ibid.82B, 464 (1979)

[c30] Particle Data Group, G. P. Yost et al., Phys. Lett. B 204, 1 (1988)

[c31] H. Leutwyler and M. Roos, Z. Phys. C 25, 91 (1984) J. F. Donoghue, B. R. Holstein, and S. W. Klint, Phys. Rev. D 35, 934 (1987)

[c32] E. D. Thorndike and R. A. Poling, Phys. Rep. 157, 183 (1988)

[c33] S. Raman, T. A. Walkiewicz, and H. Behrens, At. Data Nucl. Data Tables 16, 451 (1975)

[c34] H. Behrens and W. Bühring, Nucl. Phys. A179, 297 (1972)

[c35] J. C. Hardy and I. S. Towner, Nucl. Phys. A254, 221 (1975) ibid.A205, 33 (1973)

[c36] H. Behrens (private communication)

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Nuclear-structure dependence of $O (α)$ corrections to Fermi decays and the value of the Kobayashi-Maskawa matrix element $V_{ud}$

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Nuclear-structure dependence of O(α) corrections to Fermi decays and the value of the Kobayashi-Maskawa matrix element Vud

Abstract

References (36)

Nuclear-structure dependence of $O (α)$ corrections to Fermi decays and the value of the Kobayashi-Maskawa matrix element $V_{ud}$