Gravitational Form Factors of Pseudoscalar Mesons, Stress-Tensor-Current Commutation Relations, and Deviations from Tensor- and Scalar-Meson Dominance

K. Raman

doi:10.1103/PhysRevD.4.476

Access by Xinjiang University

Gravitational Form Factors of Pseudoscalar Mesons, Stress-Tensor-Current Commutation Relations, and Deviations from Tensor- and Scalar-Meson Dominance

K. Raman

Physics Department, Wesleyan University, Middletown, Connecticut 06457

PDF

Phys. Rev. D 4, 476 – Published 15 July, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.476

Abstract

The low-momentum-transfer behavior of the gravitational form factors of the pseudoscalar mesons is derived, starting with the model-independent equal-time commutation relations between the stress tensor and the axial-vector current. The results indicate significant deviations from tensor-meson pole dominance and scalar-meson pole dominance of the matrix elements of the traceless part and the trace, respectively, of the stress tensor. An expression is derived for the stress-tensor- $ε$ -meson coupling in terms of $g_{A_{1} ε π}$ . With additional assumptions, a phenomenological result is obtained for the scale dimension of the pion field. Possible mechanisms are discussed which may give rise to large values of the rms radii of the form factors. As an example of additional phenomenological results obtainable from the scheme discussed here, a result is derived for the $f A_{1} π$ coupling.

References (38)

H. Pagels [Phys. Rev. 144, 1250 (1966)]
K. Raman, Phys. Rev. Letters 26, 1069 (1971) Coral Gables Conference on Fundamental Interactions at High Energy, 1971 (to be published)
M. Gell-Mann, in Proceedings of the Hawaiian Topical Conference on Particle Physics, edited by W. A. Simmons and S. F. Tuan (Western Periodicals, Los Angeles, 1970)
R. Jackiw, Phys. Rev. 175, 2058 (1968) D. Gross and R. Jackiw, ibid. 163, 1688 (1967)
S. Deser and L. K. Morrison, Brandeis University report (unpublished)
[M. Gell-Mann, Physics 1, 63 (1964)]
D. Gross and R. Jackiw, Nucl. Phys. B14, 269 (1969)
Omitted endnote
Omitted endnote
H. Kleinert and P. H. Weisz, Nucl. Phys. 27B, 23 (1971) H. A. Kastrup, B15, 179 (1970) R. Jackiw, Phys. Rev. D (to be published)
G. Mack, Nucl. Phys. B5, 499 (1966)
Omitted endnote
R. Jackiw, Phys. Rev. D (to be published) J. Ellis, P. H. Weisz, and B. Zumino, Phys. Letters 34B, 91 (1971)
S. Weinberg, Phys. Rev. Letters 18, 507 (1967)
K. Kawarabayashi and M. Suzuki, Phys. Rev. Letters 16, 255 (1966) Riazuddin and Fayyazuddin, Phys. Rev. 147, 1071 (1966)
Particle Data Group, Rev. Mod. Phys. 42, 87 (1970)
F. Gilman and H. Harari, Phys. Rev. 165, 1803 (1968)
Omitted endnote
Omitted endnote
Y. Fujii and K. Hayashi, Progr. Theoret. Phys. (Kyoto) 39, 126 (1968) H. Yabuki, ibid. 39, 118 (1968) J. R. Fulco and D. Y. Wong, Phys. Rev. Letters 19, 1399 (1967) K. Kang and D. J. Land, ibid. 18, 503 (1967)
J. R. Fulco and D. Y. Wong, Phys. Rev. Letters 19, 1399 (1967)
T. C. Chen and K. Raman (unpublished report)
R. Blankenbecler and R. Sugar, Phys. Rev. 142, 1051 (1966) A. A. Logunov and A. N. Tavkhelidze, Nuovo Cimento 29, 380 (1963)
R. Omnès, Nuovo Cimento 8, 316 (1958)
Omitted endnote
Omitted endnote
M. Gell-Mann, Physics 1, 63 (1964) M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev. 175, 2195 (1968)
Omitted endnote
Omitted endnote
K. Raman, Phys. Rev. D 3, 2900 (1971) [2]
R. J. Crewther, Phys. Rev. D 3, 3152 (1971)
P. G. O. Freund, Phys. Letters 2, 136 (1962) [30] B. Renner, Phys. Letters 33B, 599 (1970) K. Raman, Phys. Rev. D 2, 1577 (1970) J. Math. Phys. (to be published)
[3] P. Carruthers, Phys. Rev. D 2, 2265 (1970) L. N. Chang and P. G. O. Freund, Ann. Phys. (N.Y.) (to be published)
[7]
Omitted endnote
([35])
D. Y. Wong, Phys. Letters 3, 15 (1962)
Proceedings of a Conference on the $π π$ and $K π$ Interactions at Argonne National Laboratory, 1969, edited by F. Loeffler and E. Malamud (Argonne National Laboratory, Argonne, Ill., 1969)

[c1] H. Pagels [Phys. Rev. 144, 1250 (1966)]

[c2] K. Raman, Phys. Rev. Letters 26, 1069 (1971) Coral Gables Conference on Fundamental Interactions at High Energy, 1971 (to be published)

[c3] M. Gell-Mann, in Proceedings of the Hawaiian Topical Conference on Particle Physics, edited by W. A. Simmons and S. F. Tuan (Western Periodicals, Los Angeles, 1970)

[c4] R. Jackiw, Phys. Rev. 175, 2058 (1968) D. Gross and R. Jackiw, ibid. 163, 1688 (1967)

[c5] S. Deser and L. K. Morrison, Brandeis University report (unpublished)

[c6] [M. Gell-Mann, Physics 1, 63 (1964)]

[c7] D. Gross and R. Jackiw, Nucl. Phys. B14, 269 (1969)

[c8] Omitted endnote

[c9] Omitted endnote

[c10] H. Kleinert and P. H. Weisz, Nucl. Phys. 27B, 23 (1971) H. A. Kastrup, B15, 179 (1970) R. Jackiw, Phys. Rev. D (to be published)

[c11] G. Mack, Nucl. Phys. B5, 499 (1966)

[c12] Omitted endnote

[c13] R. Jackiw, Phys. Rev. D (to be published) J. Ellis, P. H. Weisz, and B. Zumino, Phys. Letters 34B, 91 (1971)

[c14] S. Weinberg, Phys. Rev. Letters 18, 507 (1967)

[c15] K. Kawarabayashi and M. Suzuki, Phys. Rev. Letters 16, 255 (1966) Riazuddin and Fayyazuddin, Phys. Rev. 147, 1071 (1966)

[c16] Particle Data Group, Rev. Mod. Phys. 42, 87 (1970)

[c17] F. Gilman and H. Harari, Phys. Rev. 165, 1803 (1968)

[c18] Omitted endnote

[c19] Omitted endnote

[c20] Y. Fujii and K. Hayashi, Progr. Theoret. Phys. (Kyoto) 39, 126 (1968) H. Yabuki, ibid. 39, 118 (1968) J. R. Fulco and D. Y. Wong, Phys. Rev. Letters 19, 1399 (1967) K. Kang and D. J. Land, ibid. 18, 503 (1967)

[c21] J. R. Fulco and D. Y. Wong, Phys. Rev. Letters 19, 1399 (1967)

[c22] T. C. Chen and K. Raman (unpublished report)

[c23] R. Blankenbecler and R. Sugar, Phys. Rev. 142, 1051 (1966) A. A. Logunov and A. N. Tavkhelidze, Nuovo Cimento 29, 380 (1963)

[c24] R. Omnès, Nuovo Cimento 8, 316 (1958)

[c25] Omitted endnote

[c26] Omitted endnote

[c27] M. Gell-Mann, Physics 1, 63 (1964) M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev. 175, 2195 (1968)

[c28] Omitted endnote

[c29] Omitted endnote

[c30] K. Raman, Phys. Rev. D 3, 2900 (1971) [2]

[c31] R. J. Crewther, Phys. Rev. D 3, 3152 (1971)

[c32] P. G. O. Freund, Phys. Letters 2, 136 (1962) [30] B. Renner, Phys. Letters 33B, 599 (1970) K. Raman, Phys. Rev. D 2, 1577 (1970) J. Math. Phys. (to be published)

[c33] [3] P. Carruthers, Phys. Rev. D 2, 2265 (1970) L. N. Chang and P. G. O. Freund, Ann. Phys. (N.Y.) (to be published)

[c34] [7]

[c35] Omitted endnote

[c36] ([35])

[c37] D. Y. Wong, Phys. Letters 3, 15 (1962)

[c38] Proceedings of a Conference on the $π π$ and $K π$ Interactions at Argonne National Laboratory, 1969, edited by F. Loeffler and E. Malamud (Argonne National Laboratory, Argonne, Ill., 1969)

Physical Review D

Export citation

Export citation

Gravitational Form Factors of Pseudoscalar Mesons, Stress-Tensor-Current Commutation Relations, and Deviations from Tensor- and Scalar-Meson Dominance

Abstract

References (38)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation