Pion polarizabilities from backward and fixed-<span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>u</mi></math></span> sum rules

L. V. Filkov; I. Guiaşu; E. E. Radescu

doi:10.1103/PhysRevD.26.3146

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Pion polarizabilities from backward and fixed- $u$ sum rules

L. V. Filkov

I. Guiaşu

E. E. Radescu^*

P. N. Lebedev Physical Institute, Moscow, Academy of Sciences, U. S. S. R.

Central Institute of Physics, Bucharest, P. O. Box MG-6, Romania

Joint Institute for Nuclear Research, Dubna, Moscow P. O. Box 79, U. S. S. R.

^*On leave of absence from the Central Institute of Physics, Bucharest, Romania.

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Phys. Rev. D 26, 3146 – Published 1 December, 1982

DOI: https://doi.org/10.1103/PhysRevD.26.3146

Abstract

Various contributions to the pion polarizabilities are estimated using sum rules obtained from backward and fixed- $u = μ^{2}$ ( $μ = pion mass$ ) dispersion relations for the relevant pion Compton-scattering amplitude. While the $s$ -channel part can be quite reliably computed in terms of the strong and radiative widths of known meson resonances, the evaluation of the $t$ -channel piece remains highly model dependent despite important clarifications provided recently by measurements of the $γ γ \to π π$ reaction.

References (18)

A. S. Galperin, G. V. Mitselmacher, A. G. Olshevsky, and V. N. Pervushin, JINR Dubna Report No. P2-80-35, 1980 (unpublished)
D. M. Akhmedov and L. V. Filkov, Lebedev Physical Institute, Moscow Report No. 214, 1978 (unpublished)
D. L. Burke, Report No. SLAC-PUB-2745, 1981 (unpublished)
J. Bernabeu, T. E. O. Ericson, and C. Ferro Foutan, Phys. Lett. 49B, 381 (1974)
D. M. Akhmedov and L. V. Filkov, Kratk. Soobshch. 1, 13 (1975)] P. S. Baranov and L. V. Filkov, Fiz. Elem. Chastits At. Yadra 7, 108 (1976) [Sov. J. Part. Nucl. 7, 42 (1976)]
I. Guiaşu and E. E. Radescu, Phys. Lett. 62B, 193 (1976) Phys. Rev. D 14, 1335 (1976) ibid.18, 1728 (1978)
J. Bernabeu and R. Tarrach, Phys. Lett. 69B, 484 (1977)
M. V. Terentev, Usp. Fiz. Nauk 112, 37 (1974) [Sov. Phys.—Usp. 17, 20 (1974)]
V. A. Petrun'kin, Fiz. Elem. Chastits At. Yadra 12, 692 (1981) [Sov. J. Part. Nucl. 12, 278 (1981)]
I. Guiaşu and E. E. Radescu, Ann. Phys. (N.Y.) 120, 145 (1979)
H. Abarbanel and M. L. Goldberger, Phys. Rev. 165, 1594 (1968)
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M. Moravcsik, Phys. Rev. 125, 734 (1962)
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[c1] A. S. Galperin, G. V. Mitselmacher, A. G. Olshevsky, and V. N. Pervushin, JINR Dubna Report No. P2-80-35, 1980 (unpublished)

[c2] D. M. Akhmedov and L. V. Filkov, Lebedev Physical Institute, Moscow Report No. 214, 1978 (unpublished)

[c3] D. L. Burke, Report No. SLAC-PUB-2745, 1981 (unpublished)

[c4] J. Bernabeu, T. E. O. Ericson, and C. Ferro Foutan, Phys. Lett. 49B, 381 (1974)

[c5] D. M. Akhmedov and L. V. Filkov, Kratk. Soobshch. 1, 13 (1975)] P. S. Baranov and L. V. Filkov, Fiz. Elem. Chastits At. Yadra 7, 108 (1976) [Sov. J. Part. Nucl. 7, 42 (1976)]

[c6] I. Guiaşu and E. E. Radescu, Phys. Lett. 62B, 193 (1976) Phys. Rev. D 14, 1335 (1976) ibid.18, 1728 (1978)

[c7] J. Bernabeu and R. Tarrach, Phys. Lett. 69B, 484 (1977)

[c8] M. V. Terentev, Usp. Fiz. Nauk 112, 37 (1974) [Sov. Phys.—Usp. 17, 20 (1974)]

[c9] V. A. Petrun'kin, Fiz. Elem. Chastits At. Yadra 12, 692 (1981) [Sov. J. Part. Nucl. 12, 278 (1981)]

[c10] I. Guiaşu and E. E. Radescu, Ann. Phys. (N.Y.) 120, 145 (1979)

[c11] H. Abarbanel and M. L. Goldberger, Phys. Rev. 165, 1594 (1968)

[c12] Particle Data Group, Rev. Mod. Phys. 52, (1980)

[c13] M. Moravcsik, Phys. Rev. 125, 734 (1962)

[c14] Ch. Berger, report at the European Physical Society Conference, Lisbon, 1981 (unpublished)

[c15] B. Schrempp-Ott et al., Phys. Lett. B36, 463 (1971) J. Babcock and J. L. Rosner, Phys. Rev. D 14, 1286 (1976) P. Grassberger and R. Kögerler, Nucl. Phys. B106, 451 (1976) J. L. Rosner, Phys. Rev. D 23, 1127 (1981) V. M. Budnev and A. E. Kaloshin, Yad. Fiz. 31, 1318 (1980) [Sov. J. Nucl. Phys. 31, 679 (1980)]

[c16] D. M. Akhmedov and L. V. Fil'kov, Yad. Fiz. 33, 1083 (1981) [Sov. J. Nucl. Phys. 33, 573 (1981)]

[c17] I. Guiaşu, C. Pomponiu, and E. E. Radescu, Ann. Phys. (N.Y.) 114, 296 (1978)

[c18] V. M. Budnev and V. A. Karnakov, Yad. Fiz. 30, 440 (1979) [Sov. J. Nucl. Phys. 30, 228 (1979)]

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Pion polarizabilities from backward and fixed- $u$ sum rules

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Pion polarizabilities from backward and fixed-u sum rules

Abstract

References (18)

Pion polarizabilities from backward and fixed- $u$ sum rules