Spin-Parity Analysis of the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>A</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></math></span>

G. Ascoli; D. V. Brockway; L. Eisenstein; J. D. Hansen; M. L. Ioffredo; U. E. Kruse; T. F. Johnston; A. W. Key; J. D. Prentice; T. S. Yoon; C. Caso; G. Tomasini; P. von Handel; P. Schilling; G. Costa; S. Ratti; L. Mosca; W. C. Harrison; D. Heyda; W. H. Johnson, Jr; J. K. Kim; M. E. Law; J. E. Mueller; B. M. Salzberg; L. K. Sisterson; H. Grässler; W. D. Nowak; M. Rost; G. T. Jones; W. Kittel; S. Brandt; P. H. Smith; W. D. Shephard; N. N. Biswas; N. M. Cason; V. P. Kenney; W. B. Madden; A. R. Erwin; R. Morse; B. Y. Oh; W. Robertson; W. D. Walker

doi:10.1103/PhysRevD.7.669

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Spin-Parity Analysis of the $A_{3}$

G. Ascoli, D. V. Brockway^*, L. Eisenstein, J. D. Hansen^†, M. L. Ioffredo^‡, and U. E. Kruse

T. F. Johnston, A. W. Key, J. D. Prentice, and T. S. Yoon

C. Caso and G. Tomasini

P. von Handel and P. Schilling

G. Costa and S. Ratti

L. Mosca

W. C. Harrison^§, D. Heyda, W. H. Johnson, Jr., J. K. Kim, M. E. Law, J. E. Mueller^∥, B. M. Salzberg^¶, and L. K. Sisterson

H. Grässler

W. D. Nowak

M. Rost

G. T. Jones and W. Kittel

S. Brandt

P. H. Smith^**, W. D. Shephard, N. N. Biswas, N. M. Cason, V. P. Kenney^††, and W. B. Madden^‡‡

A. R. Erwin, R. Morse^§§, B. Y. Oh^∥∥, W. Robertson^¶¶, and W. D. Walker^¶¶

Department of Physics, University of Illinois at Champaign - Urbana, Urbana, Illinois 61801

Physics Department, University of Toronto, Toronto, Ontario, Canada

Istituto di Fisica dell'Università, Genova, Italy and Istituto Nazionale di Fisica Nucleare, Sezione di Genova, Genova, Italy

Deutsches Elektronen Synchrotron, Hamburg, Germany and II. Institut für Experimentalphysik, Universität Hamburg, Hamburg, Germany

Istituto di Scienze Fisiche dell'Università, Milano, Italy and Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Milano, Italy

Département de Physique des Particules Elémentaires, Centre d'Etudes Nucléaires de Saclay, Gif-sur-Yvette, France

Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138

III. Physikalisches Institut der Technischen Hochschule, Aachen, Germany

Institut für Hochenergiephysik der Deutschen Akademie der Wissenschaften zu Berlin, Zeuthen, D.D.R.

Physikalisches Institut der Universität, Bonn, Germany

CERN, European Organization for Nuclear Research, Geneva, Switzerland

Institut für Hochenergiephysik, Heidelberg, Germany

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

Physics Department, University of Wisconsin, Madison, Wisconsin 53706

^*Present address: Los Alamos Scientific Laboratory, Los Alamos, New Mexico 87544.
^†On leave of absence from CERN, Geneva, Switzerland.
^‡Present address: Brookhaven National Laboratory, Upton, New York 11973.
^§Present address: Physics Department, Rutgers, The State University, New Brunswick, New Jersey 08903.
^∥Present address: Cambridge Electron Accelerator, Cambridge, Mass. 02138.
^¶Present address: Department of Physiology, Yale University, New Haven, Connecticut 06520.
^**Present address: Goddard Space Flight Center, Greenbelt, Maryland.
^††On leave at Max Planck Institute für Physik und Astrophysik, Munich, Germany.
^‡‡Present address: Bank of America, San Francisco, California.
^§§Present address: Physics Department, University of Colorado, Boulder, Colorado 80302.
^∥∥Present address: Physics Department, Michigan State University, East Lansing, Michigan 48823.
^¶¶Present address: Physics Department, Duke University, Durham, North Carolina 27706.

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Phys. Rev. D 7, 669 – Published 1 February, 1973

DOI: https://doi.org/10.1103/PhysRevD.7.669

Abstract

A partial-wave analysis of the charged three-pion system in the reaction $π^{-} p \to p π^{+} π^{-} π^{-}$ for incident $π^{-}$ momenta from 5 to 25 GeV/c shows the existence of a broad enhancement (∼ 300 MeV) in the $J^{P} = 2^{-} f π$ ( $S$ -wave) state in the region of the $A_{3} (1650)$ . No other state ( $J \leq 4$ ) shows structure in this region. Upper bounds for $ρ π$ and $ε π$ decay modes of the $A_{3}$ are given. The interference of the $2^{-} f π$ ( $S$ -wave) amplitude with other amplitudes has been observed. The mass variation of the phase of the $2^{-} f π$ ( $S$ -wave) amplitude measured with respect to the phases of other amplitudes does not show the behavior expected for the relative phase between resonant and nonresonant amplitudes. Results are given on the polarization and momentum-transfer dependence of the $A_{3}$ and on the $A_{3}$ production cross section as a function of incident $π^{-}$ momentum.

References (21)

Particle Data Group, Phys. Letters 39B, 1 (1972) C. Y. Chien, Proceedings of an Informal Meeting on Experimental Meson Spectroscopy, Philadelphia, edited by C. Baltay and A. H. Rosenfeld (Benjamin, New York, 1968), p. 275
J. Bartsch et al., Nucl. Phys. B7, 345 (1968)
D. J. Crennell et al., Phys. Rev. Letters 24, 781 (1970)
K. Paler et al., Phys. Rev. Letters 26, 1675 (1971)
W. C. Harrison et al., Phys. Rev. Letters 28, 775 (1972)
R. T. Deck, Phys. Rev. Letters 13, 169 (1964)
C. Caso et al., Nucl. Phys. B36, 349 (1972)
D. V. Brockway, Ph.D. thesis, University of Illinois Report No. COO-1195-197, 1970 (unpublished)
Omitted endnote
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G. Ascoli et al., Phys. Rev. Letters 26, 929 (1971) , (unpublished)
G. Ascoli et al., Phys. Rev. Letters 25, 962 (1970) (unpublished)
J. L. Petersen, Phys. Reports 2C, 165 (1971) S. Flatté et al., Phys. Letters 38B, 232 (1972)
Omitted endnote
S. Flatté et al.page 42 in Phenomenology in Particle Physics, 1971, edited by C. Chiu, G. Fox, and A. J. G. Hey (California Institute of Technology, Pasadena, Calif., 1971)

[c1] Particle Data Group, Phys. Letters 39B, 1 (1972) C. Y. Chien, Proceedings of an Informal Meeting on Experimental Meson Spectroscopy, Philadelphia, edited by C. Baltay and A. H. Rosenfeld (Benjamin, New York, 1968), p. 275

[c2] J. Bartsch et al., Nucl. Phys. B7, 345 (1968)

[c3] D. J. Crennell et al., Phys. Rev. Letters 24, 781 (1970)

[c4] K. Paler et al., Phys. Rev. Letters 26, 1675 (1971)

[c5] W. C. Harrison et al., Phys. Rev. Letters 28, 775 (1972)

[c6] R. T. Deck, Phys. Rev. Letters 13, 169 (1964)

[c7] C. Caso et al., Nucl. Phys. B36, 349 (1972)

[c8] D. V. Brockway, Ph.D. thesis, University of Illinois Report No. COO-1195-197, 1970 (unpublished)

[c9] Omitted endnote

[c10] Omitted endnote

[c11] Omitted endnote

[c12] Omitted endnote

[c13] Omitted endnote

[c14] Omitted endnote

[c15] Omitted endnote

[c16] Omitted endnote

[c17] G. Ascoli et al., Phys. Rev. Letters 26, 929 (1971) , (unpublished)

[c18] G. Ascoli et al., Phys. Rev. Letters 25, 962 (1970) (unpublished)

[c19] J. L. Petersen, Phys. Reports 2C, 165 (1971) S. Flatté et al., Phys. Letters 38B, 232 (1972)

[c20] Omitted endnote

[c21] S. Flatté et al.page 42 in Phenomenology in Particle Physics, 1971, edited by C. Chiu, G. Fox, and A. J. G. Hey (California Institute of Technology, Pasadena, Calif., 1971)

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Spin-Parity Analysis of the $A_{3}$

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Spin-Parity Analysis of the A3

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Spin-Parity Analysis of the $A_{3}$