Abstract
The high energy elastic nucleon cross section is treated from the viewpoint of the basic principles of local field theory. The connection between the energy dependence of σ tot and the ρ — ratio of the real to imaginary parts of the forward elastic scattering amplitude is examined in the framework of dispersion relations, derivative dispersion relations and crossing symmetry.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Landshoff P.V. (2002) “Soft and hard QCD” hep-ph/0209364.
Fadin V.S., Kuraev E.A. and Lipatov L.N., (1975) “On Pomeranchuk singularity in asymptotically free theries” Phys. Lett. 60, pp.50–52; Lipatov L.N., (1976), Sov. J. Nucl. Phys., 23 p. 642; Kuraev E.A., Lipatov L.N. and Fadin V.S., (1976), Sov. Phys.JETP 44, p. 45; Balitsky I.I. and Lipatov L.N., “The Pomeranchuk singularity in quantum chromodynamics” (1978), Sov. J. Nucl. Phys. 28, p. 822–829.
Wang E. and Wang Xin-Nian, (2001) “Interplay of soft and hard processes and hadronpT spectra in pA and AA collision” nucl-th/0104031; Borozan I. and Seymour M.H. (2002) “An eikonal model for multiparticle production in hadron-hadron interections” MC-TH-2002–4, hep-ph/0207283;.
Goldberger M.L., Nambu Y. and Oehme R. (1957) “Dispersion relations for nucleon-nucleon scattering” Ann. Phys. 2, pp. 226–282.
Khuri, N. N. (1957) Thesis, (Princteon University); (1967) Phys. ReV. Lett 18, p. 1094.
Gross D.J., and Mende P. (1988) “String theory beyond the Planck scale” Nucl. Phys. ? 303, pp.407–454.
Khuri, N. N. and Kinoshita, T. (1985) Real part of the scattering amplitude and behaviour of the total cross section at high energies”Phys.ReV. D 137, pp. 720–725.
Armstrong T.A. et al, Call. E760 (1996) “Precision measurements of antiproton-proton forward elastic scattering parameters” Phys. Lett. ? 385, pp. 479–483.
Kroll P. and Schwenger W. (1989) “Analysis of low-energy amplitude forward scattering” Nucl. Phys. A 503, pp. 865–884.
Gauron P., Leader E. and Nicolescu B., (1988) “Similarities and differnces between pp and pp scattering at TeV energies and beyond” Nucl. Phys. ? 299, pp. 640–672.
Gribov V.N. and Migdal A.B. (1968) “Quasistable Pomeranchuk pole and diffraction scattering at ultra high energies” Yad. Fiz. 8, p. 1213; (1969), Sov. J. Nucl. Phys. 8, pp. 703–770.
Bronzan J.B., (1973), Argonne Nat. Lab., Report ANL/HEP 7327;Bronzan J.B., Kane G.L., Sukhatme U.P. (1974) “Obtaining real parts of scattering amplitudes directly from cross section data using derivative analiticity relations” Phys. Lett. B 49, pp. 272–276.
Kolar P. and Fischer J. (1984) “On validity and practical applicability of derivative analyticity relations” J. Math. Phys.25, pp. 2538–2544; (1987) Czech. J. Phys. ? 37, pp. 297–305.
Fischer J. and Kolar P. (2001) Proc. os IX Blois Workshop, “Elastic and Diffractive Scattering”Prühonice, Czech.Rep., June 9–15, 2001.ed.Kundrát V., Závada P., p.305.
Martini A.F., Menon M.J., Paes J.T.S. and Silva Nieto M.J., (1998) “Differential dispersion relations and elementary amplitudes in multiple diffraction model” hep-ph/9810498; AvilaR.F., Luna E.G.S. amd Menon M.J., (2001) “High-energy proton-proton forward scattering and derivative analyticity relations” hep-ph/0105065.
Amaldi, U., et al. (1985) “The real part of the forward proton-proton scattering amplitude measured at the CERN Intersecting Storage Rings” Phys.Lett. B 66, pp. 390–394.
Amos, N.A. et al. (1985) “Measurement of small-angle antiproton-proton and proton-proton elastic scattering at the CERN Intersecting Storage Rings” Nucl. Phys. ? 262, pp. 689–714.
Cudell J.R. et al. COMPETE coll. (2002) “Hadronic scattering amplitudes: medi-umenergy constrain on asymptotic behaviour” Phys.ReV. D 65, pp. 074024–57; Cudell J.R. et al. COMPETE coll.(2002) “Bench marks for the forward observables at RHIC, the Tevatron-run II and the LHC” hep/ph/0206172.
Hendrick R.E. and Lautrup B. (1975) “Real parts of the forward elastic σ±p, K°p pp, and pp scattering amplitudes from 1 to 200 GeV/c” Phys.ReV. D 11, pp. 529–537.
Bertini M., Giffon M., Jenkovszky L. and Paccanoni F., (1996) Il Nuovo Cim. 109A p.257.
Söding, P. (1964) “Real part of the proton-proton and proton-antiproton forward scattering amplitude at high energies” Phys. Lett. ? 8 p. 285–287.
D. Gross et al. (1978) The real part of the p-p and p-d forward scattering amplitudes from 50 to 400 GeVPhys.Rev.Lett. 41 pp. 217–226.
Selyugin O.V. (1992) Amplitude of elastic hadron-hadron scattering in the region of Coulombic momentum transfersYad.Fiz. 55 pp. 841–853.
Shiz A. et al. (1981) “Real part of the forward elastic nuclear amplitude for pp, pp, p + p, p - p, K + p, and ?- p, scattering between 70 and 200 GeV/c” Phys. Rev. D24, pp. 46–65.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Selyugin, O.V. (2003). Dispersion Relations and Inconsistency of ρ Data. In: Fiore, R., Jenkovszky, L.L., Kotsky, M.I., Magas, V.K., Papa, A. (eds) DIFFRACTION 2002: Interpretation of the New Diffractive Phenomena in Quantum Chromodynamics and in the S-Matrix Theory. NATO Science Series, vol 101. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0177-9_8
Download citation
DOI: https://doi.org/10.1007/978-94-010-0177-9_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-1307-2
Online ISBN: 978-94-010-0177-9
eBook Packages: Springer Book Archive