Publication: Regge analysis of pion-pion (and pion-kaon) scattering for energy s^(1/2)> 1.4 GeV
Loading...
Official URL
Full text at PDC
Publication Date
2004-06
Authors
Ynduráin, F. J.
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Citations
Exportar
Abstract
We perform a detailed Regge analysis of NN, πN, KN, π π, and πK scattering. From it, we find expressions that represent the pp scattering amplitudes with an accuracy of a few percent for exchange of isospin zero and ~15% for exchange of isospin 1, and this for energies s^(1/2) ˃1.4 GeV and for momentum transfers |t|^( ½) ≤0.4 GeV. These Regge formulas are perfectly compatible with the low energy [s^(1/2)~1.4 GeV] scattering amplitudes deduced from π π phase shift analyses as well as with higher energy [s^(1/2)≥1.4 GeV] experimental π π cross sections. They are also compatible with NN, KN, and πN experimental cross sections using factorization, a property that we check with precision. This contrasts with results from current phase shift analyses of the π π scattering amplitude, which bear little resemblance to reality in the region 1.4<s^(1/2)<2 GeV, as they are not well defined and increasingly violate a number of physical requirements when the energy grows. πK scattering is also considered, and we present a Regge analysis for these processes valid for energies s^(1/2) ˃1.7 GeV. As a by-product of our analysis we obtain also a fit of NN, πN, and KN cross sections valid from c.m. kinetic energy E_(kin)≈.1 GeV to multi-TeV energies.
Description
©2004 The American Physical Society.
We are grateful to CICYT, Spain, and to INTAS, for partial financial support. J.R.P. thanks partial support from the Spanish CICYT projects, Nos. BFM2000-1326 and BFM2002-01003, and the E.U. EURIDICE network contract No. HPRN-CT-2002-00311.
UCM subjects
Unesco subjects
Keywords
Citation
[1] B. Ananthanarayan et al., Phys. Rep. 353, 207 (2001).
[2] G. Colangelo, J. Gasser, and H. Leutwyler, Nucl. Phys. B603, 125 (2001).
[3] S. Descotes, N. H. Fuchs, L. Girlanda, and J. Stern, Eur. Phys. J. C 24, 469 (2002); R. Kamiński, L. Leśniak, and B. Loiseau, Phys. Lett. B 551, 241 (2003).
[4] P. Buttiker, S. Descotes-Genan, and B. Moussallam, Eur. Phys. J. C 33, 409 (2004).
[5] M. R. Pennington, Ann. Phys. (N.Y.) 92, 164 (1990).
[6] C. D. Froggatt and J. L. Petersen, Nucl. Phys. B129, 89 (1977).
[7] N. N. Biswas et al., Phys. Rev. Lett. 18, 273 (1967) [π ̅ π ̅, π^(+) π ̅ and π^(0) π ̅]; D. Cohen et al., Phys. Rev. D 7, 661 (1973) [ π ̅ π ̅]; W. J. Robertson, W. D. Walker, and J. L. Davis, ibid. 7, 2554 (19739 [π^(+) π ̅]; W. Hoogland et al., Nucl. Phys. B126, 109 (1977) [π ̅ π ̅]; J. Hanlon et al., Phys. Rev. Lett. 37, 967 (1976) [π^(+) π ̅]; H. Abramowicz et al., Nucl. Phys. B166, 62 (1980) [π^(+) π ̅]. These references cover the region between 1.35 and 16 GeV and agree within errors in the regions where they overlap (with the exception of π ̅ π ̅ below 2.3 GeV; see text!.
[8] B. Hyams et al., Nucl. Phys. B64, 134 (1973); G. Grayer et al., ibid. B75, 189 (1974). See also the analysis of the same experimental data in P. Estabrooks and A. D. Martin, ibid. B79, 301 (1974); K. L. Au, D. Morgan, and M. R. Pennington, Phys. Rev. D 35, 1633 (1987).
[9] F. J. Ynduráin, Report No. FTUAM 03-14, hep-ph/0310206. @10# F. J. Ynduráin, Phys. Lett. B 578, 99 (2004).
[11] J. R. Peláez and F. J. Ynduráin, Phys. Rev. D 68, 074005 (2003).
[12] J. R. Cudell et al., Phys. Rev. Lett. 89, 201801 (2002).
[13] M. Gell-Mann, Phys. Rev. Lett. 8, 263 (1962); V. N. Gribov and I. Ya. Pomeranchuk, ibid. 8, 343 (1962). For more references in general Regge theory, see V. D. Barger and D. B. Cline, Phenomenological Theories of High Energy Scattering (Benjamin, New York, 1969). For references to the QCD analysis, cf. V. N. Gribov and L. N. Lipatov, Sov. J. Nucl. Phys. 15, 438 (1972); 15, 675 (1972); F. A. Kuraev, L. N. Lipatov, and V. S. Fadin, Sov. Phys. JETP 44, 443 (1976); Yu. L. Dokshitzer, ibid. 46, 641 (1977); Ya. Ya. Balitskii and L. N. Lipatov, Sov. J. Nucl. Phys. 28, 822 (1978); G. Altarelli and G. Parisi, Nucl. Phys. B126, 298 (1977). For a phenomenological Regge analysis of deep inelastic scattering, see F. Martin, Phys. Rev. D 19, 1382 (1979); C. López and F. J. Ynduráin, Nucl. Phys. B171, 231 (1980); K. Adel, F. Barreiro, and F. J. Ynduráin, ibid. B495, 221 (1997). For the QCD theory of Regge trajectories, see A. Yu. Dubin, A. B. Kaidalov, and Yu. A. Simonov, Phys. Lett. B 323, 41 (1994); Yu. A. Simonov, Nucl. Phys. B324, 67 81989), from which earlier references may be traced.
[14] W. Rarita et al., Phys. Rev. 165, 1615 (1968). [15] S. J. Brodsky and G. Farrar, Phys. Rev. Lett. 31, 1153 (1973).
[16] V. Barger and M. Olsson, Phys. Rev. 151, 1123 (1966).
[17] Particle Data Tables: K. Hagiwara et al., Phys. Rev. D 66, 010001 (2002).
[18] H. J. Levin and L. L. Frankfurter, JETP Lett. 2, 65 (1965). For a comprehensive review, see J. J. J. Kokkedee, The Quark Model (Benjamin, New York, 1969).
[19] G. Veneziano, Nuovo Cimento 57, 190 (1968); C. Lovelace, Phys. Lett. 28B, 264 (1968).
[20] V. Barger et al., Nucl. Phys. B5, 411 (1968).
[21] J. R. Cudell et al., Phys. Rev. D 61, 034019 (2000).
[22] P. Desgrolard et al., Eur. Phys. J. C 18, 555 (2001).
[23] J. R. Cudell et al., Phys. Rev. D 65, 074024 (2002).
[24] F. J. Ynduráin, Phys. Lett. B 578, 99 (2004); 586, 439(E) (2004). Note that the power of the logarithm in the denominator in Eq. (24) is incorrectly given here as 7, instead of the correct value 7/ 2.
[25] S. Mandelstam, Nuovo Cimento 30, 1127 (1963); 30, 1148 (1963).
[26] R. M. Baltrusaitis et al., Phys. Rev. Lett. 52, 1380 (1984); M. Honda et al., ibid. 70, 525 (1993).