Energy and angular correlations in <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>τ</mi><mo>→</mo><mi>π</mi><mi>K</mi><mi>ν</mi></math></span>

Cornell S. L. Chun

doi:10.1103/PhysRevD.20.189

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Energy and angular correlations in $τ \to π K ν$

Cornell S. L. Chun

McDonnell Douglas Astronautics Company, Huntington Beach, California 92647 and Department of Physics, University of California, Irvine, California 92717

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Phys. Rev. D 20, 189 – Published 1 July, 1979

DOI: https://doi.org/10.1103/PhysRevD.20.189

Abstract

A measurement of energy and angular correlations in the decay $τ \to π K ν$ can be a source of valuable information on the pion-kaon interaction. With the assumption of a $τ - ν$ current of $V - A$ form and $T$ -reversal invariance in the weak production of the pion and kaon, the correlations in the decay can reveal the relative phase for the $s$ and $p$ partial waves in pion-kaon scattering. The differential decay distribution for this decay is exhibited as a function of four kinematic variables and with hadronic form factors which are defined as proportional to the amplitudes for production into $s$ and $p$ partial waves. In experiments with limited statistics the phase difference can be determined by appropriate cuts in the data.

References (6)

M. L. Perl et al., Phys. Rev. Lett. 35, 1489 (1975)
G. J. Feldman, in Proceedings of the 19th International Conference on High Energy Physics, edited by S. Homma, M. Kawaguchi, and H. Niyazawa (Physical Society of Japan, Tokyo, 1978)
H. B. Thacker and J. J. Sakurai, Phys. Lett. 36B, 103 (1971)
D. A. Geffen and Warren J. Wilson [Phys. Rev. D 18, 2488 (1978)]
K. Watson, Phys. Rev. 88, 1163 (1952)
J. D. Bjorken and S. D. Drell: Relativistic Quantum Mechanics (McGraw-Hill, New York, 1965)

[c1] M. L. Perl et al., Phys. Rev. Lett. 35, 1489 (1975)

[c2] G. J. Feldman, in Proceedings of the 19th International Conference on High Energy Physics, edited by S. Homma, M. Kawaguchi, and H. Niyazawa (Physical Society of Japan, Tokyo, 1978)

[c3] H. B. Thacker and J. J. Sakurai, Phys. Lett. 36B, 103 (1971)

[c4] D. A. Geffen and Warren J. Wilson [Phys. Rev. D 18, 2488 (1978)]

[c5] K. Watson, Phys. Rev. 88, 1163 (1952)

[c6] J. D. Bjorken and S. D. Drell: Relativistic Quantum Mechanics (McGraw-Hill, New York, 1965)

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Energy and angular correlations in $τ \to π K ν$

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Energy and angular correlations in τ→πKν

Abstract

References (6)

Energy and angular correlations in $τ \to π K ν$