Fixed-<span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>t</mi></math></span> Dispersion Relations and Polarization in Pion-Nucleon Charge-Exchange Scattering

G. I. Ghandour; R. G. Moorhouse

doi:10.1103/PhysRevD.6.856

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Fixed- $t$ Dispersion Relations and Polarization in Pion-Nucleon Charge-Exchange Scattering

G. I. Ghandour^*

R. G. Moorhouse

Department of Physics and Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720

Glasgow University, Glasgow, Scotland

^*CNRS-LEBANON Graduate Fellow and participating guest, Lawrence Berkeley Laboratory.

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Phys. Rev. D 6, 856 – Published 1 August, 1972

DOI: https://doi.org/10.1103/PhysRevD.6.856

Abstract

We evaluate the real parts of the pion-nucleon charge-exchange amplitudes using fixed- $t$ dispersion relations with the imaginary parts of the amplitudes found at low energy from partial-wave analysis and at high energy from a simple $s$ -channel absorptive model. We find that the calculated polarization, though quantitatively somewhat small, has all the correct qualitative features.

References (12)

H. Harari, Phys. Rev. Letters 26, 1400 (1971)
G. A. Ringland and D. P. Roy, Phys. Letters 36B, 110 (1971)
R. G. Moorhouse, Ann. Rev. Nucl. Sci. 19, 301 (1969), Eqs. (1.14) and (1.15)
L. D. Roper and R. M. Wright, Phys. Rev. 138, B921 (1965) A. T. Davier, Nucl. Phys. B21, 359 (1970) R. Ayed, P. Bareyre, and G. Villet, Phys. Letters 31B, 598 (1970) A. Donnachie, R. G. Kirsopp, and C. Lovelace, 26B, 161 (1968)
M. Davier and H. Harari, Phys. Letters 35B, 239 (1971)
G. Guissan et al., Saclay-Orsay-DESY-Paris Collaboration report, 1971 (unpublished)
Barger and Martin ([8])
V. Barger and A. D. Martin, Phys. Letters 39B, 379 (1972)
P. Sonderegger, J. Kirz, O. Guissan, P. Falk-Vairant, C. Bruneton, P. Borgeaud, A. V. Stirling, C. Caverzasio, J. P. Guillard, M. Yvert, and B. Amblard, Phys. Letters 20, 75 (1966)
R. Dolen, D. Horn, and C. Schmid, Phys. Rev. 166, 1768 (1968)
Omitted endnote
R. D. Field, Jr., Lawrence Berkeley Laboratory Report No. LBL-33 (Ph. D. Thesis), 1971 (unpublished)

[c1] H. Harari, Phys. Rev. Letters 26, 1400 (1971)

[c2] G. A. Ringland and D. P. Roy, Phys. Letters 36B, 110 (1971)

[c3] R. G. Moorhouse, Ann. Rev. Nucl. Sci. 19, 301 (1969), Eqs. (1.14) and (1.15)

[c4] L. D. Roper and R. M. Wright, Phys. Rev. 138, B921 (1965) A. T. Davier, Nucl. Phys. B21, 359 (1970) R. Ayed, P. Bareyre, and G. Villet, Phys. Letters 31B, 598 (1970) A. Donnachie, R. G. Kirsopp, and C. Lovelace, 26B, 161 (1968)

[c5] M. Davier and H. Harari, Phys. Letters 35B, 239 (1971)

[c6] G. Guissan et al., Saclay-Orsay-DESY-Paris Collaboration report, 1971 (unpublished)

[c7] Barger and Martin ([8])

[c8] V. Barger and A. D. Martin, Phys. Letters 39B, 379 (1972)

[c9] P. Sonderegger, J. Kirz, O. Guissan, P. Falk-Vairant, C. Bruneton, P. Borgeaud, A. V. Stirling, C. Caverzasio, J. P. Guillard, M. Yvert, and B. Amblard, Phys. Letters 20, 75 (1966)

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

[c11] Omitted endnote

[c12] R. D. Field, Jr., Lawrence Berkeley Laboratory Report No. LBL-33 (Ph. D. Thesis), 1971 (unpublished)

Physical Review D

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Fixed- $t$ Dispersion Relations and Polarization in Pion-Nucleon Charge-Exchange Scattering

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Fixed-t Dispersion Relations and Polarization in Pion-Nucleon Charge-Exchange Scattering

Abstract

References (12)

Fixed- $t$ Dispersion Relations and Polarization in Pion-Nucleon Charge-Exchange Scattering