Van Hove Analysis of the Reactions <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>π</mi></mrow><mrow><mo>−</mo></mrow></msup></mrow><mi>p</mi><mo>→</mo><mrow><msup><mrow><mi>π</mi></mrow><mrow><mo>−</mo></mrow></msup></mrow><mrow><msup><mrow><mi>π</mi></mrow><mrow><mo>−</mo></mrow></msup></mrow><mrow><msup><mrow><mi>π</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow><mi>p</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>π</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow><mi>p</mi><mo>→</mo><mrow><msup><mrow><mi>π</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow><mrow><msup><mrow><mi>π</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow><mrow><msup><mrow><mi>π</mi></mrow><mrow><mo>−</mo></mrow></msup></mrow><mi>p</mi></math> at 16 GeV/c

J. Ballam; G. B. Chadwick; Z. G. T. Guiragossián; W. B. Johnson; D. W. G. S. Leith; K. Moriyasu

doi:10.1103/PhysRevD.4.1946

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Van Hove Analysis of the Reactions $π^{-} p \to π^{-} π^{-} π^{+} p$ and $π^{+} p \to π^{+} π^{+} π^{-} p$ at 16 GeV/c

J. Ballam, G. B. Chadwick, Z. G. T. Guiragossián^*, W. B. Johnson, D. W. G. S. Leith, and K. Moriyasu

Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305

^*Present Address: High Energy Physics Laboratory, Stanford University, Stanford, Calif. 94305.

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Phys. Rev. D 4, 1946 – Published 1 October, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.1946

Abstract

Data from the reactions $π^{-} p \to π^{-} π^{-} π^{+} p$ and $π^{+} p \to π^{+} π^{+} π^{-} p$ have been obtained at 16 GeV/c in approximately equal samples from the BNL 80-in. hydrogen bubble chamber. We have studied both reactions for resonance production and compared our results with predictions of the one-pion-exchange model (OPEM) calculated by Wolf. The four-body longitudinal phase-space (LPS) plot suggested by Van Hove was used to analyze the data from both reactions. The events were separated according to distinct regions of the LPS plot in order to study the following classes of quasi-two-body final states: (1) diffractively produced three-pion states, (2) diffractively produced $π π p$ states, (3) double-resonance production such as $ρ^{0} Δ^{+ +}$ , (4) single-resonance production such as $π^{-} π^{-} Δ^{+ +}$ . The Van Hove analysis provided a much cleaner separation of resonances from background effects than the usual techniques. We observe production of the $A_{1}$ and $A_{2}$ mesons as well as the $N^{*} (1470)$ and $N^{*} (1700)$ isobars in the $π^{+} π^{-} p$ system for both reactions. There is strong formation of the doubly resonant states $ρ^{0} Δ^{+ +}$ and $f^{0} Δ^{+ +}$ and the general features of the nondiffractive events are all in good agreement with one-pion exchange. Detailed comparisons between the data and the OPEM in each LPS plot region show that Van Hove analysis provides a sensitive test for the OPE model.

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[c1] H. Foelsche and J. Sandweiss, BNL Report No. HF/JS-1 (unpublished)

[c2] K. J. Foley, R. S. Jones, S. J. Lindenbaum, W. A. Love, S. Ozaki, E. D. Platner, C. A. Quarles, and E. H. Willen, Phys. Rev. Letters 19, 330 (1967)

[c3] (a): Saclay-Orsay-Bari-Bologna Collaboration, Nuovo Cimento 29, 515 (1963) (b): P. H. Satterblom, W. D. Walker, and A. R. Erwin, Phys. Rev. 134, B207 (1964) (c): Saclay-Orsay-Bari-Bologna Collaboration, Nuovo Cimento 35, 713 (1965) (d): Aachen-Birmingham-Bonn-Hamburg-London (I.C.)-München Collaboration, ibid. 31, 485 (1964) Nuovo Cimento31, 729 (1964) (e): J. W. Lamsa, N. M. Cason, N. N. Biswas, I. Derado, T. H. Graves, V. P. Kenney, J. A. Poirier, and W. D. Shepherd, Phys. Rev. 166, 1395 (1968) (f): Geneva-Hamburg-Milano-Saclay Collaboration, Nuovo Cimento 47A, 675 (1967) (g): G. W. Brandenburg, A. E. Brenner, M. L. Ioffredo, W. H. Johnson, Jr., J. K. Kim, M. E. Law, J. E. Mueller, B. M. Salzberg, J. H. Scharenguivel, L. K. Sisterson, and J. J. Szymanski, Nucl. Phys. B16, 287 (1970)

[c4] (a): F. E. James and H. L. Kraybill, Bull. Am. Phys. Soc. 8, 342 (1963) Yale University report, 1963 (unpublished) (b): B. C. Shen, Ph. D. thesis, University of California, LRL Report No. UCRL-16170, 1965 (unpublished) (c): Aachen-Berlin-Birmingham-Bonn-Hamburg-London (I.C.)-München Collaboration, Phys. Rev. 138, B897 (1965) (d): Bonn-Durham-Nijmegen-Paris-Strasbourg-Turin Collaboration, Nucl. Phys. B7, 681 (1968) (e): P. Slattery, H. Kraybill, B. Forman, and T. Ferbel, Nuovo Cimento 50, 377 (1967) (f): Aachen-Berlin-CERN Collaboration, Phys. Letters 12, 356 (1964) (g): J. A. Gaidos et al. (unpublished) (h): N. N. Biswas et al., Phys. Rev. D 2, 2529 (1970)

[c5] G. Wolf, Phys. Rev. 182, 1538 (1969)

[c6] L. Van Hove, Nucl. Phys. B9, 331 (1969)

[c7] J. Ballam, A. D. Brody, G. B. Chadwick, D. Fries, Z. G. T. Guiragossián, W. B. Johnson, R. R. Larsen, D. W. G. S. Leith, F. Martin, M. Perl, E. Pickup, and T. H. Tan, Phys. Rev. Letters 21, 934 (1968)

[c8] David J. Crennell, Uri Karshon, Kwan Wu Lai, J. Michael Scarr, and W. H. Sims, Phys. Rev. Letters 24, 781 (1970)

[c9] S. Miyashita et al., Nuovo Cimento 66A, 606 (1970) V. E. Barnes et al., Phys. Rev. Letters 23, 1516 (1969) R. B. Willmann et al., ibid. 24, 1260 (1970) G. W. Brandenburg et al., Nucl. Phys. B16, 287 (1970) J. G. Rushbrooke, in Proceedings of the Fourteenth International Conference on High Energy-Physics, Vienna, 1968, edited by J. Prentki and J. Steinberger (CERN, Geneva, 1968), p. 158

[c10] A. P. Sheng, Ph. D. thesis, MIT, 1970 (unpublished)

[c11] K. Moriyasu, SLAC Group B Physics Note 42 (unpublished)

[c12] J. Bartsch et al. (Aachen-Berlin-Bonn-CERN-Heidelberg-London-Vienna Collaboration), Nucl. Phys. B19, 381 (1970)

[c13] M. Aderholz et al. (Aachen-Berlin-CERN Collaboration), Nucl. Phys. B8, 45 (1968)

[c14] J. C. Berlinghieri et al., in Proceedings of the Topical Conference on High Energy Collisions of Hadrons, CERN 1968 (CERN, Geneva, 1968), Vo. II, p. 172

[c15] J. Ballam et al., Phys. Rev. D 1, 94 (1970)

[c16] G. Ascoli et al., Phys. Rev. Letters 25, 962 (1970)

[c17] Omitted endnote

[c18] R. J. Plano, in Proceedings of the Fifteenth International Conference on High Energy Physics, Kiev, U.S.S.R., 1970 (Atomizdat, Moscow, 1971)

[c19] D. R. O. Morrison, [18]

[c20] J. Ballam et al., Phys. Letters 31B, 489 (1970)

[c21] D. R. O. Morrison, Phys. Letters 22, 528 (1966)

[c22] G. Wolf, Phys. Rev. Letters 19, 925 (1967)

[c23] J. D. Jackson, Nuovo Cimento 34, 1644 (1964)

[c24] G. Goldhaber et al., Phys. Letters 18, 76 (1965)

[c25] F. Crijns et al. (Aachen-Berlin-CERN Collaboration), Phys. Letters 22, 533 (1966)

[c26] J. E. Mott, H. J. Martin, and K. F. Galloway, Nucl. Phys. B16, 102 (1970)

[c27] Chan Hong-Mo, J. Loskiewics, and W. W. M. Allison, Nuovo Cimento 57A, 93 (1968)

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Van Hove Analysis of the Reactions $π^{-} p \to π^{-} π^{-} π^{+} p$ and $π^{+} p \to π^{+} π^{+} π^{-} p$ at 16 GeV/c

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Van Hove Analysis of the Reactions π−p→π−π−π+p and π+p→π+π+π−p at 16 GeV/c

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References (27)

Van Hove Analysis of the Reactions $π^{-} p \to π^{-} π^{-} π^{+} p$ and $π^{+} p \to π^{+} π^{+} π^{-} p$ at 16 GeV/c