Experimental study of 30 000 <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>K</mi></mrow><mrow><mi>e</mi><mn>4</mn><mn></mn></mrow></msub></mrow></math></span> decays

L. Rosselet; P. Extermann; J. Fischer; O. Guisan; R. Mermod; R. Sachot; A. M. Diamant-Berger; P. Bloch; G. Bunce; B. Devaux; N. Do-Duc; G. Marel; R. Turlay

doi:10.1103/PhysRevD.15.574

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Experimental study of 30 000 $K_{e 4}$ decays

L. Rosselet, P. Extermann, J. Fischer, O. Guisan, R. Mermod, and R. Sachot^*

A. M. Diamant-Berger, P. Bloch, G. Bunce^†, B. Devaux, N. Do-Duc, G. Marel, and R. Turlay

University of Geneva, Geneva, Switzerland

Département de Physique des Particules Elémentaires, Centre d' Études Nucléaires, Saclay, France

^*Present address: CERN, Geneva, Switzerland.
^†Present address: Department of Physics, University of Wisconsin, Madison, Wisconsin 53706.

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Phys. Rev. D 15, 574 – Published 1 February, 1977

DOI: https://doi.org/10.1103/PhysRevD.15.574

Abstract

An experiment on the decay $K^{+} \to π^{+} π^{-} e^{+} ν$ was performed at the CERN proton synchrotron with spark-chamber and counter techniques. The $K_{e 4}$ branching ratio has been measured relative to the $τ$ decay. The $π π$ phase-shift difference $δ_{0}^{0} - δ_{1}^{1}$ and the form factors of the hadronic current have been determined as functions of the $π π$ energy. The $π π$ scattering length $a_{0}^{0}$ has been evaluated from the phase shifts with a phenomenological model. The results are compared with the theoretical predictions of current algebra and other models.

References (30)

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M. Ferro-Luzzi et al., Report No. CERN NP INT. 73-18 (unpublished)
R. Sachot, Ph.D. thesis, University of Geneva, 1975 (unpublished)
B. Devaux, Thesis, University of Paris, Orsay, 1975 (unpublished) B. Devaux et al. (unpublished)
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[16]
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[c1] S. Weinberg, Phys. Rev. Lett. 17, 336 (1966) ibid.18, 1178(E) (1967)

[c2] S. Weinberg, Phys. Rev. Lett. 17, 616 (1966)

[c3] P. Bloch et al., Phys. Lett. 60B, 393 (1976)

[c4] R. P. Ely et al., Phys. Rev. 180, 1319 (1969) W. Schweinberger et al., Phys. Lett. 36B, 246 (1971)

[c5] M. Bourquin et al., Phys. Lett. 36B, 615 (1971) P. Basile et al., ibid. 36B, 619 (1971) A. Zylbersztejn et al., ibid. 38B, 457 (1972)

[c6] E. W. Beier et al., Phys. Rev. Lett. 29, 511 (1972) , ibid. 30, 399 (1973)

[c7] A. M. Diamant-Berger, Ph.D. thesis, University of Paris, Orsay, 1976 (unpublished)

[c8] L. Rosselet, Ph.D. thesis, University of Geneva, 1976 (unpublished)

[c9] M. Ferro-Luzzi et al., Report No. CERN NP INT. 73-18 (unpublished)

[c10] R. Sachot, Ph.D. thesis, University of Geneva, 1975 (unpublished)

[c11] B. Devaux, Thesis, University of Paris, Orsay, 1975 (unpublished) B. Devaux et al. (unpublished)

[c12] P. Bloch et al., Phys. Lett. 56B, 201 (1975)

[c13] A. M. Diamant-Berger et al., Phys. Lett. 62B, 485 (1976)

[c14] Particle Data Group, Rev. Mod. Phys. 48, S1 (1976)

[c15] N. Cabibbo and A. Maksymowicz, Phys. Rev. 137, B438 (1965) ibid.168, 1926(E) (1968)

[c16] A. Pais and S. B. Treiman, Phys. Rev. 168, 1858 (1968)

[c17] [16]

[c18] A. Zylbersztejn, Ph.D. thesis, University of Paris, Orsay, 1972 (unpublished)

[c19] P. Basile, J. de Phys. (Paris) 32, C3-45 (1971)

[c20] E. Ginsberg, Phys. Rev. 142, 1035 (1966) ibid.162, 1570 (1967) ibid.171, 1675 (1968) Phys. Rev. D 1, 229 (1970)

[c21] D. Morgan and M. R. Pennington, Phys. Rev. D 12, 1283 (1975)

[c22] L. M. Chounet, J. M. Gaillard, and M. K. Gaillard, Phys. Rep. 4C, 199 (1972)

[c23] S. N. Biswas et al., Ann. Phys. (N.Y.) 52, 366 (1969) A. Q. Sarker, Phys. Rev. 176, 1959 (1968) S. N. Biswas et al., Phys. Rev. D 1, 1445 (1970)

[c24] J. L. Basdevant, C. D. Froggatt, and J. L. Petersen, Nucl. Phys. B72, 413 (1974)

[c25] W. Maenner, in Experimental Meson Spectroscopy—1974, proceedings of the Boston Conference, edited by D. A. Garelick (A.I.P., New York, 1974)

[c26] V. Shrinivasan et al., Phys. Rev. D 12, 681 (1975)

[c27] P. Estabrooks and A. D. Martin, Nucl. Phys. B79, 301 (1974) E. Grayer et al., B75, 189 (1974)

[c28] M. David et al. (unpublished) G. Villet et al. (unpublished)

[c29] B. Bonnier and N. Johanneson, Nuovo Cimento 29A, 565 (1975)

[c30] J. Franklin, Phys. Rev. D 11, 513 (1975)

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Experimental study of 30 000 $K_{e 4}$ decays

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Experimental study of 30 000 Ke4 decays

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Experimental study of 30 000 $K_{e 4}$ decays