Test of Duality in <span class="aps-inline-formula"><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></math></span> Backward Angular Distributions

R. R. Crittenden; R. M. Heinz; D. B. Lichtenberg; E. Predazzi

doi:10.1103/PhysRevD.1.169

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Test of Duality in $π^{+} p$ Backward Angular Distributions

R. R. Crittenden, R. M. Heinz, D. B. Lichtenberg, and E. Predazzi^*

Physics Department, Indiana University, Bloomington, Indiana 47401

^*On leave of absence from the University of Torino, Torino, Italy.

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Phys. Rev. D 1, 169 – Published 1 January, 1970

DOI: https://doi.org/10.1103/PhysRevD.1.169

Abstract

A model in which the backward $π^{+} p$ angular distribution is assumed to arise from a sum of direct-channel resonances is compared with the data at intermediate energies. Many as yet undiscovered resonances are assumed to exist as Regge recurrences of experimentally known resonances. The agreement between the results of the model and experiment is qualitatively quite good at angles near the backward direction for incident pion momenta between 2.2 and 5.0 GeV/c. In particular, the position and the shape of the minimum around $u ≃ - 0.2$ ${(G e V / c)}^{2}$ in the differential cross section is correctly obtained. Since a similar minimum has previously been obtained in a model with Regge-pole exchange in the crossed channel, the result of the calculation gives support to the concept of duality at intermediate energies.

References (22)

J. P. Chandler, R. R. Crittenden, K. F. Galloway, R. M. Heinz, H. A. Neal, K. A. Potocki, W. F. Prickett, and R. A. Sidwell, Phys. Rev. Letters 23, 186 (1969)
A. S. Carroll, J. Fischer, A. Lundby, R. H. Phillips, C. L. Wang, F. Lobkowicz, A. C. Melissinos, Y. Nagashima, and S. Tewksbury, Phys. Rev. Letters 20, 607 (1968)
J. Banaigs, J. Berger, C. Bonnel, J. Duflo, L. Goldzahl, F. Plouin, W. F. Baker, P. J. Carlson, V. Chabaud, and A. Lundby, Nucl. Phys. B8, 31 (1968) W. F. Baker, K. Berkelman, P. J. Carlson, G. P. Fisher, P. Fleury, D. Hartill, R. Kalbach, A. Lundby, S. Mukhin, R. Nierhaus, K. P. Pretzl, and J. Woulds, Phys. Letters 28B, 291 (1968) W. F. Baker, P. J. Carlson, V. Chabaud, A. Lundby, J. Banaigs, J. Berger, C. Bonnel, J. Duflo, L. Goldzahl, and F. Plouin, ibid. 25B, 361 (1967) W. F. Baker, P. J. Carlson, V. Chabaud, A. Lundby, E. G. Michaelis, J. Banaigs, J. Berger, C. Bonnel, J. Duflo, L. Goldzahl, and F. Plouin, ibid. 23, 605 (1966)
J. Orear, R. Rubinstein, D. B. Scarl, D. H. White, A. D. Krisch, W. R. Frisken, A. L. Read, and H. Ruderman, Phys. Rev. 152, 1162 (1966)
A. Ashmore, C. J. S. Damerell, W. R. Frisken, R. Rubinstein, J. Orear, D. P. Owen, F. C. Peterson, A. L. Read, D. G. Ryan, and D. H. White, Phys. Rev. Letters 19, 460 (1967) J. Orear, D. P. Owen, F. C. Peterson, A. L. Read, D. G. Ryan, D. H. White, A. Ashmore, C. J. S. Damerell, W. R. Frisken, and R. Rubinstein, ibid. 21, 389 (1968)
M. Derrick, in Proceedings of the Topical Conference on High Energy Collisions on Hadrons, CERN, 1968 (Scientific Information Service, Geneva, 1968), p. 111
S. Mandelstam, Phys. Rev. 115, 1741 (1959)
C. B. Chiu and J. D. Stack, Phys. Rev. 153, 1575 (1967)
V. Barger and D. Cline, Phys. Rev. Letters 21, 392 (1968) ibid.19, 1504 (1967)
R. Dolen, D. Horn, and C. Schmid, Phys. Rev. 166, 1768 (1968)
V. Barger and D. Cline, Phys. Letters 22, 666 (1966) Phys. Rev. 155, 1792 (1967)
N. Dikmen [Phys. Rev. Letters 18, 798 (1967)] [ 22, 622 (1969)]
Particle Data Group, Rev. Mod. Phys. 41, 109 (1969)
H. Feshbach, D. C. Peaslee, and V. F. Weisskopf, Phys. Rev. 71, 145 (1947)
J. A. Helland, T. J. Devlin, D. E. Hagge, M. J. Longo, B. J. Moyer, and C. D. Wood, Phys. Rev. 134, B1062 (1964)
P. J. Duke, D. P. Jones, M. A. R. Kemp, P. G. Murphy, J. D. Prentice, and J. J. Thresher, Phys. Rev. 149, 1077 (1966)
T. Drobrowolski, B. N. Gus'kov, M. F. Likhachev, A. L. Lubimov, Yu. A. Matulenko, V. S. Stavinsky, and A. S. Vovenko, Phys. Letters 24B, 203 (1967)
C. B. Chiu and M. Der Sarkissian, Nuovo Cimento 55, 396 (1968)
M. Ciftan and G. Patsakos (private communication)
N. Booth, G. Conforto, and A. Yokosawa, presented by G. Bellettini, in Proceedings of the Fourteenth International Conference on High-Energy Physics, Vienna, 1968 (CERN, Geneva, 1968), p. 329
G. Veneziano, Nnovo Cimento 57A, 190 (1968)
E. L. Berger and G. C. Fox, Phys. Rev. 188, 2120 (1969)

[c1] J. P. Chandler, R. R. Crittenden, K. F. Galloway, R. M. Heinz, H. A. Neal, K. A. Potocki, W. F. Prickett, and R. A. Sidwell, Phys. Rev. Letters 23, 186 (1969)

[c2] A. S. Carroll, J. Fischer, A. Lundby, R. H. Phillips, C. L. Wang, F. Lobkowicz, A. C. Melissinos, Y. Nagashima, and S. Tewksbury, Phys. Rev. Letters 20, 607 (1968)

[c3] J. Banaigs, J. Berger, C. Bonnel, J. Duflo, L. Goldzahl, F. Plouin, W. F. Baker, P. J. Carlson, V. Chabaud, and A. Lundby, Nucl. Phys. B8, 31 (1968) W. F. Baker, K. Berkelman, P. J. Carlson, G. P. Fisher, P. Fleury, D. Hartill, R. Kalbach, A. Lundby, S. Mukhin, R. Nierhaus, K. P. Pretzl, and J. Woulds, Phys. Letters 28B, 291 (1968) W. F. Baker, P. J. Carlson, V. Chabaud, A. Lundby, J. Banaigs, J. Berger, C. Bonnel, J. Duflo, L. Goldzahl, and F. Plouin, ibid. 25B, 361 (1967) W. F. Baker, P. J. Carlson, V. Chabaud, A. Lundby, E. G. Michaelis, J. Banaigs, J. Berger, C. Bonnel, J. Duflo, L. Goldzahl, and F. Plouin, ibid. 23, 605 (1966)

[c4] J. Orear, R. Rubinstein, D. B. Scarl, D. H. White, A. D. Krisch, W. R. Frisken, A. L. Read, and H. Ruderman, Phys. Rev. 152, 1162 (1966)

[c5] A. Ashmore, C. J. S. Damerell, W. R. Frisken, R. Rubinstein, J. Orear, D. P. Owen, F. C. Peterson, A. L. Read, D. G. Ryan, and D. H. White, Phys. Rev. Letters 19, 460 (1967) J. Orear, D. P. Owen, F. C. Peterson, A. L. Read, D. G. Ryan, D. H. White, A. Ashmore, C. J. S. Damerell, W. R. Frisken, and R. Rubinstein, ibid. 21, 389 (1968)

[c6] M. Derrick, in Proceedings of the Topical Conference on High Energy Collisions on Hadrons, CERN, 1968 (Scientific Information Service, Geneva, 1968), p. 111

[c7] S. Mandelstam, Phys. Rev. 115, 1741 (1959)

[c8] C. B. Chiu and J. D. Stack, Phys. Rev. 153, 1575 (1967)

[c9] V. Barger and D. Cline, Phys. Rev. Letters 21, 392 (1968) ibid.19, 1504 (1967)

[c10] R. Dolen, D. Horn, and C. Schmid, Phys. Rev. 166, 1768 (1968)

[c11] V. Barger and D. Cline, Phys. Letters 22, 666 (1966) Phys. Rev. 155, 1792 (1967)

[c12] N. Dikmen [Phys. Rev. Letters 18, 798 (1967)] [ 22, 622 (1969)]

[c13] Particle Data Group, Rev. Mod. Phys. 41, 109 (1969)

[c14] H. Feshbach, D. C. Peaslee, and V. F. Weisskopf, Phys. Rev. 71, 145 (1947)

[c15] J. A. Helland, T. J. Devlin, D. E. Hagge, M. J. Longo, B. J. Moyer, and C. D. Wood, Phys. Rev. 134, B1062 (1964)

[c16] P. J. Duke, D. P. Jones, M. A. R. Kemp, P. G. Murphy, J. D. Prentice, and J. J. Thresher, Phys. Rev. 149, 1077 (1966)

[c17] T. Drobrowolski, B. N. Gus'kov, M. F. Likhachev, A. L. Lubimov, Yu. A. Matulenko, V. S. Stavinsky, and A. S. Vovenko, Phys. Letters 24B, 203 (1967)

[c18] C. B. Chiu and M. Der Sarkissian, Nuovo Cimento 55, 396 (1968)

[c19] M. Ciftan and G. Patsakos (private communication)

[c20] N. Booth, G. Conforto, and A. Yokosawa, presented by G. Bellettini, in Proceedings of the Fourteenth International Conference on High-Energy Physics, Vienna, 1968 (CERN, Geneva, 1968), p. 329

[c21] G. Veneziano, Nnovo Cimento 57A, 190 (1968)

[c22] E. L. Berger and G. C. Fox, Phys. Rev. 188, 2120 (1969)

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Test of Duality in $π^{+} p$ Backward Angular Distributions

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Test of Duality in π+p Backward Angular Distributions

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Test of Duality in $π^{+} p$ Backward Angular Distributions