<span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>f</mi></mrow><mrow><mn>0</mn></mrow></msup></mrow><mo>−</mo><mrow><msubsup><mrow><mi>A</mi></mrow><mrow><mn>2</mn></mrow><mrow><mn>0</mn></mrow></msubsup></mrow></math></span> Interference and the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>f</mi></mrow><mrow><mn>0</mn></mrow></msup></mrow><mo>→</mo><mi>K</mi><mrow><mrow><mover><mrow><mi>K</mi></mrow><mrow><mi>¯</mi></mrow></mover></mrow></mrow></math></span> Branching Ratio

N. N. Biswas; N. M. Cason; E. A. Harrington; V. P. Kenney; W. D. Shephard

doi:10.1103/PhysRevD.5.1564

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$f^{0} - A_{2}^{0}$ Interference and the $f^{0} \to K \bar{K}$ Branching Ratio

N. N. Biswas, N. M. Cason, E. A. Harrington^*, V. P. Kenney, and W. D. Shephard

Department of Physics, University of Notre Dame, Notre Dame, Indiana 46556

^*Present address: Bell Telephone Laboratories, Naperville, Ill. 60540.

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Phys. Rev. D 5, 1564 – Published 1 April, 1972

DOI: https://doi.org/10.1103/PhysRevD.5.1564

Abstract

Interference in the $K \bar{K}$ decay mode of the $f^{0}$ and $A_{2}^{0}$ mesons is discussed in terms of the mass-matrix formalism. It is shown that the measurement of the $f^{0} \to K \bar{K}$ branching ratio can be in error by an order of magnitude if interference is not properly accounted for. Data from $π^{+} p$ and $π^{-} p$ reactions at 18.5 $\frac{GeV}{c}$ are used to determine the $\frac{(f^{0} \to K \bar{K})}{(f^{0} \to π π)}$ branching ratio $R_{f^{0}}$ using the known $A_{2} \to K \bar{K}$ branching ratio and assuming a value for the coherence factor. We find $9 % \leq R_{f^{0}} \leq 18 %$ .

References (14)

[P. Weilhammer et al., Bull. Am. Phys. Soc. 16, 610 (1971) S. J. Lindenbaum et al., ibid. 16, 610 (1971) B. Gottschalk et al., ibid. 16, 610 (1971)]
M. Aderholz et al., Nucl. Phys. B11, 259 (1969) O. I. Dahl et al., Phys. Rev. 163, 1377 (1967) W. Beusch et al., Phys. Letters 25B, 357 (1967)
J. Bernstein and G. Feinberg, Nuovo Cimento 25, 1343 (1962) S. Coleman and H. J. Schnitzer, Phys. Rev. 134, B863 (1965) J. Hartke and R. G. Sachs, ibid. 135, B459 (1965) A. S. Goldhaber, G. C. Fox, and C. Quigg, Phys. Letters 30B, 249 (1969)
S. Coleman and S. Glashow, Phys. Rev. 134, B671 (1964)
Omitted endnote
J. T. McGahan, Ph. D. thesis, University of Notre Dame, 1969 (unpublished)
M. J. Hones, N. M. Cason, N. N. Biswas, J. A. Helland, V. P. Kenney, J. T. McGahan, J. A. Poirier, O. R. Sander, and W. D. Shephard, Phys. Rev. D 2, 827 (1970)
P. H. Smith, Ph. D. thesis, University of Notre Dame, 1970 (unpublished)
W. D. Madden, Ph. D. thesis, University of Notre Dame, 1971 (unpublished)
E. A. Harrington, Ph. D. thesis, University of Notre Dame, 1971 (unpublished)
R. Ehrlich et al., Phys. Rev. Letters 20, 686 (1968)
K. W. J. Barnham et al., Phys. Rev. Letters 26, 1499 (1971)
Omitted endnote
T. F. Hoang, D. P. Eartly, J. J. Phelan, A. Roberts, C. L. Sandler, S. Bernstein, S. Margulies, D. W. McLeod, T. H. Groves, N. N. Biswas, N. M. Cason, V. P. Kenney, J. M. Marraffino, J. T. McGahan, J. A. Poirier, and W. D. Shephard, Phys. Rev. 184, 1363 (1969)

[c1] [P. Weilhammer et al., Bull. Am. Phys. Soc. 16, 610 (1971) S. J. Lindenbaum et al., ibid. 16, 610 (1971) B. Gottschalk et al., ibid. 16, 610 (1971)]

[c2] M. Aderholz et al., Nucl. Phys. B11, 259 (1969) O. I. Dahl et al., Phys. Rev. 163, 1377 (1967) W. Beusch et al., Phys. Letters 25B, 357 (1967)

[c3] J. Bernstein and G. Feinberg, Nuovo Cimento 25, 1343 (1962) S. Coleman and H. J. Schnitzer, Phys. Rev. 134, B863 (1965) J. Hartke and R. G. Sachs, ibid. 135, B459 (1965) A. S. Goldhaber, G. C. Fox, and C. Quigg, Phys. Letters 30B, 249 (1969)

[c4] S. Coleman and S. Glashow, Phys. Rev. 134, B671 (1964)

[c5] Omitted endnote

[c6] J. T. McGahan, Ph. D. thesis, University of Notre Dame, 1969 (unpublished)

[c7] M. J. Hones, N. M. Cason, N. N. Biswas, J. A. Helland, V. P. Kenney, J. T. McGahan, J. A. Poirier, O. R. Sander, and W. D. Shephard, Phys. Rev. D 2, 827 (1970)

[c8] P. H. Smith, Ph. D. thesis, University of Notre Dame, 1970 (unpublished)

[c9] W. D. Madden, Ph. D. thesis, University of Notre Dame, 1971 (unpublished)

[c10] E. A. Harrington, Ph. D. thesis, University of Notre Dame, 1971 (unpublished)

[c11] R. Ehrlich et al., Phys. Rev. Letters 20, 686 (1968)

[c12] K. W. J. Barnham et al., Phys. Rev. Letters 26, 1499 (1971)

[c13] Omitted endnote

[c14] T. F. Hoang, D. P. Eartly, J. J. Phelan, A. Roberts, C. L. Sandler, S. Bernstein, S. Margulies, D. W. McLeod, T. H. Groves, N. N. Biswas, N. M. Cason, V. P. Kenney, J. M. Marraffino, J. T. McGahan, J. A. Poirier, and W. D. Shephard, Phys. Rev. 184, 1363 (1969)

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$f^{0} - A_{2}^{0}$ Interference and the $f^{0} \to K \bar{K}$ Branching Ratio

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f0−A20 Interference and the f0→KK¯ Branching Ratio

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$f^{0} - A_{2}^{0}$ Interference and the $f^{0} \to K \bar{K}$ Branching Ratio