Is a Subtraction Necessary for the Pion Mechanical Form Factor?

Ranabir Dutt; P. G. Williams

doi:10.1103/PhysRevD.7.1217

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Is a Subtraction Necessary for the Pion Mechanical Form Factor?

Ranabir Dutt and P. G. Williams

Department of Physics, Westfield College, University of London, London N. W. 3, England

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Phys. Rev. D 7, 1217 – Published 15 February, 1973

DOI: https://doi.org/10.1103/PhysRevD.7.1217

Abstract

We investigate the consistency of $ε$ and $S^{*}$ dominance of the pion mechanical form factor with unsubtractedness, Ward identities, and $S$ -wave $π π$ phenomenology. We conclude that the $ε$ is not dominant as a result of the strong coupling of the $S^{*}$ to both $π π$ and $K \bar{K}$ channels and an unsubtracted form factor is not ruled out in contrast to the conclusions of previous authors.

References (12)

M. Gell-Mann, in Proceedings of the Third Hawaii Topical Conference on Particle Physics, edited by S. F. Tuan (Western Periodicals, North Hollywood, Calif., 1970) P. Carruthers, Phys. Reports 1C, 1 (1971) H. Kleinert, Berlin University Report, 1972 (unpublished)
H. Kleinert and P. H. Weisz, Nucl. Phys. B27, 23 (1971) Nuovo Cimento 3A, 479 (1971)
K. Raman, Phys. Rev. Letters 26, 1069 (1971) Phys. Rev. D 3, 2900 (1971)
S. P. de Alwis, Nucl. Phys. B28, 594 (1971) Sh. Eliezer and R. Dutt, Phys. Letters 40B, 250 (1972)
J. P. Baton, G. Laurens, and J. Reignier, Phys. Letters 33B, 525 (1970) ibid.33B, 528 (1970) M. Alston-Garnjost et al., ibid. 36B, 152 (1971) S. M. Flatté et al., ibid. 38B, 232 (1972)
D. N. Levin and D. R. Palmer, Phys. Rev. D 4, 3716 (1971)
S. Okubo, Phys. Rev. D 3, 2807 (1971) ibid.4, 725 (1971)
B. Renner and L. P. Staunton, Phys. Rev. D 5, 1676 (1972)
M. R. Pennington, Phys. Rev. D 6, 1458 (1972)
[9]
R. J. Crewther, Phys. Rev. D 3, 3152 (1971) Phys. Letters 33B, 305 (1970)
Omitted endnote

[c1] M. Gell-Mann, in Proceedings of the Third Hawaii Topical Conference on Particle Physics, edited by S. F. Tuan (Western Periodicals, North Hollywood, Calif., 1970) P. Carruthers, Phys. Reports 1C, 1 (1971) H. Kleinert, Berlin University Report, 1972 (unpublished)

[c2] H. Kleinert and P. H. Weisz, Nucl. Phys. B27, 23 (1971) Nuovo Cimento 3A, 479 (1971)

[c3] K. Raman, Phys. Rev. Letters 26, 1069 (1971) Phys. Rev. D 3, 2900 (1971)

[c4] S. P. de Alwis, Nucl. Phys. B28, 594 (1971) Sh. Eliezer and R. Dutt, Phys. Letters 40B, 250 (1972)

[c5] J. P. Baton, G. Laurens, and J. Reignier, Phys. Letters 33B, 525 (1970) ibid.33B, 528 (1970) M. Alston-Garnjost et al., ibid. 36B, 152 (1971) S. M. Flatté et al., ibid. 38B, 232 (1972)

[c6] D. N. Levin and D. R. Palmer, Phys. Rev. D 4, 3716 (1971)

[c7] S. Okubo, Phys. Rev. D 3, 2807 (1971) ibid.4, 725 (1971)

[c8] B. Renner and L. P. Staunton, Phys. Rev. D 5, 1676 (1972)

[c9] M. R. Pennington, Phys. Rev. D 6, 1458 (1972)

[c10] [9]

[c11] R. J. Crewther, Phys. Rev. D 3, 3152 (1971) Phys. Letters 33B, 305 (1970)

[c12] Omitted endnote

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Is a Subtraction Necessary for the Pion Mechanical Form Factor?

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