Pion-Nucleon Scattering and Production in the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>D</mi></mrow><mrow><mn>13</mn></mrow></msub></mrow></math></span> State

Arthur I. Miller; Earle L. Lomon

doi:10.1103/PhysRevD.2.1245

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Pion-Nucleon Scattering and Production in the $D_{13}$ State

Arthur I. Miller^* and Earle L. Lomon

Laboratory for Nuclear Science and Physics Department, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

^*Present address: Physics Department, Lowell Technological Institute, Lowell, Mass.

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Phys. Rev. D 2, 1245 – Published 1 October, 1970

DOI: https://doi.org/10.1103/PhysRevD.2.1245

Abstract

A model of the coupled $π N$ , $ρ N$ , $σ N$ , and $π Δ$ channels is adjusted to the $π N$ scattering and pion production data below 700-MeV pion laboratory kinetic energy. A very good description is obtained of the complex $D_{13}$ amplitude below 700 MeV, simultaneously with a good fit to the structural details of pion production in the 400-700-MeV energy interval. In computing the pion production distributions, the only addition made to the $D_{13}$ contribution is a phase-space background accounting for 20-50% of the production cross section. The maximal interference effects between decaying resonances are investigated. Also reported are attempts to fit the data without the $σ N$ channel, but with the $ω N$ or higher threshold channels. The cross sections for $ρ$ , $Δ$ , or $ω$ production predicted at 1.0-1.5 BeV are consistent with the higher-energy data: Too much $σ$ production is predicted.

References (23)

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H. Goldberg and E. L. Lomon, Phys. Rev. 134, B659 (1964)
E. L. Lomon and A. I. Miller, Phys. Rev. Letters 21, 1773 (1968)
H. Feshbach and E. L. Lomon, Ann. Phys. (N. Y.) 29, 19 (1964)
Earle L. Lomon and Herman Feshbach, Ann. Phys. (N. Y.) 48, 94 (1968)
Earle L. Lomon, Phys. Rev. D 1, 549 (1970)
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[c1] A. Donnachie, R. G. Kirsopp, and C. Lovelace, Phys. Letters 26B, 161 (1968)

[c2] P. Bareyre, C. Bricman, and G. Villet, Phys. Rev. 163, 1730 (1968)

[c3] C. Johnson and H. M. Steiner, LRL Report No. UCRL 18001 (unpublished)

[c4] J. D. Oliver, I. Nadelhaft, and G. Yodh, Phys. Rev. 147, 932 (1966)

[c5] R. A. Burnstein et al., Phys. Rev. 137, B1044 (1965)

[c6] C. N. Vittitoe et al., Phys. Rev. 135, B232 (1964)

[c7] J. Kirz, J. Schwartz, and R. Tripp, Phys. Rev. 130, 2481 (1963)

[c8] D. Morgan, Phys. Rev. 166, 1731 (1968) M. DeBeer et al., Nucl. Phys. B12, 599 (1969)

[c9] H. Goldberg and E. L. Lomon, Phys. Rev. 134, B659 (1964)

[c10] E. L. Lomon and A. I. Miller, Phys. Rev. Letters 21, 1773 (1968)

[c11] H. Feshbach and E. L. Lomon, Ann. Phys. (N. Y.) 29, 19 (1964)

[c12] Earle L. Lomon and Herman Feshbach, Ann. Phys. (N. Y.) 48, 94 (1968)

[c13] Earle L. Lomon, Phys. Rev. D 1, 549 (1970)

[c14] M. G. Olsson and G. B. Yodh, Phys. Rev. 145, 1309 (1966)

[c15] R. M. Sternheimer and S. J. Lindenbaum, Phys. Rev. 109, 1723 (1958)

[c16] L. F. Cook, Jr., and B. W. Lee, Phys. Rev. 127, 283 (1962) ibid.127, 297 (1962) P. Carruthers, Ann. Phys. (N. Y.) 14, 229 (1961)

[c17] P. M. Morse and H. Feshbach, in Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Pt. I

[c18] J. D. Jackson, Nuovo Cimento 34, 1644 (1964)

[c19] S. Ciulli and J. Fischer, Nuovo Cimento 12, 264 (1959)

[c20] E. Malamud and P. E. Schlein, Phys. Rev. Letters 19, 1056 (1967)

[c21] M. Feldman et al., Phys. Rev. Letters 22, 316 (1969) G. A. Smith and R. J. Manning, Phys. Rev. 171, 1399 (1968)

[c22] A. Donnachie, in Proceedings of the Fourteenth International Conference on High-Energy Physics, Vienna, 1968, edited by J. Prentki and J. Steinberger (CERN, Geneva, 1968), p. 150

[c23] E. Pickup, D. K. Robinson, and E. O. Salant, Phys. Rev. Letters 9, 170 (1962) D. R. O. Morrison, Phys. Letters 22, 528 (1966)

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Pion-Nucleon Scattering and Production in the $D_{13}$ State

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Pion-Nucleon Scattering and Production in the D13 State

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References (23)

Pion-Nucleon Scattering and Production in the $D_{13}$ State