Low-Energy Photoproduction and the Chiral-Transformation Property of the Electromagnetic Current

T. P. Cheng; Roger Dashen

doi:10.1103/PhysRevD.4.1561

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Low-Energy Photoproduction and the Chiral-Transformation Property of the Electromagnetic Current

T. P. Cheng^* and Roger Dashen^†

Institute for Advanced Study, Princeton, New Jersey 08540

^*Research sponsored by the National Science Foundation Under Grant No. GP-16147.
^†Alfred P. Sloan Foundation Fellow.

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Phys. Rev. D 4, 1561 – Published 1 September, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.1561

Abstract

Using new multipole analyses of low-energy pion photoproduction, we have examined the possibility that the electromagnetic current does not commute with the axial charge $F_{3}^{5}$ . Within errors, which are not as small as one would like, there is no evidence for a lack of commutation. It is pointed out that the photoproduction amplitude which directly measures this commutator receives very little contribution from the large, well-determined $M_{1 +}$ multipole and is dominated by the more exotic multipoles like $E_{1 +}$ .

References (19)

S. L. Adler and R. F. Dashen, Current Algebra and Applications to Particle Physics (Benjamin, New York, 1968)
M. Weinstein, New York University Report No. 5/71 (unpublished)
D. G. Sutherland, Phys. Letters 23, 384 (1966)
R. Dashen, Phys. Rev. 182, 1245 (1969)
S. Adler, Phys. Rev. 177, 2426 (1969) J. S. Bell and R. Jackiw, Nuovo Cimento 60A, 47 (1969)
S. Adler [Phys. Rev. Letters 18, 519 (1967)]
Omitted endnote
G. F. Chew, M. L. Goldberger, F. E. Low, and Y. Nambu, Phys. Rev. 106, 1345 (1957)
S. Fubini, G. Furlan, and C. Rossetti, Nuovo Cimento 40, 1171 (1965)
S. Adler and F. Gilman, Phys. Rev. 152, 1460 (1966)
P. Noelle, W. Pfeil, and D. Schwela, Bonn University Report No. 2-79, 1970 (unpublished) [12]
F. A. Berends and D. L. Weaver, CEA report, 1970 (unpublished)
Omitted endnote
Omitted endnote
R. L. Walker, Phys. Rev. 182, 1729 (1969)
Omitted endnote
G. Zweig, Nuovo Cimento 32, 689 (1964)
Omitted endnote
([12]) ([15])

[c1] S. L. Adler and R. F. Dashen, Current Algebra and Applications to Particle Physics (Benjamin, New York, 1968)

[c2] M. Weinstein, New York University Report No. 5/71 (unpublished)

[c3] D. G. Sutherland, Phys. Letters 23, 384 (1966)

[c4] R. Dashen, Phys. Rev. 182, 1245 (1969)

[c5] S. Adler, Phys. Rev. 177, 2426 (1969) J. S. Bell and R. Jackiw, Nuovo Cimento 60A, 47 (1969)

[c6] S. Adler [Phys. Rev. Letters 18, 519 (1967)]

[c7] Omitted endnote

[c8] G. F. Chew, M. L. Goldberger, F. E. Low, and Y. Nambu, Phys. Rev. 106, 1345 (1957)

[c9] S. Fubini, G. Furlan, and C. Rossetti, Nuovo Cimento 40, 1171 (1965)

[c10] S. Adler and F. Gilman, Phys. Rev. 152, 1460 (1966)

[c11] P. Noelle, W. Pfeil, and D. Schwela, Bonn University Report No. 2-79, 1970 (unpublished) [12]

[c12] F. A. Berends and D. L. Weaver, CEA report, 1970 (unpublished)

[c13] Omitted endnote

[c14] Omitted endnote

[c15] R. L. Walker, Phys. Rev. 182, 1729 (1969)

[c16] Omitted endnote

[c17] G. Zweig, Nuovo Cimento 32, 689 (1964)

[c18] Omitted endnote

[c19] ([12]) ([15])

Physical Review D

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Low-Energy Photoproduction and the Chiral-Transformation Property of the Electromagnetic Current

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References (19)

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