Abstract
Even if a ‘complete set’ of experimental observables were measured for the elastic scattering or photo/electroproduction of pseudoscalar mesons, ambiguities would remain in the extracted partial-wave and isospin decomposed amplitudes. As these problems are not widely understood, the present work outlines the way model-dependence enters into analyses of data from both hadronic and electromagnetic facilities.
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
G. Höhler: Pion-Nucleon Scattering. Edited by H. Schopper, Landolt-Börnstein, Vol. I/9b2 (Springer-Verlag, Berlin, 1983)
J.E. Bowcock and H. Burkhardt: Rep. Prog. Phys. 38, 1099 (1975)
I. Sabba Stefanescu: J. Math. Phys. 23, 1190 (1982)
K. Chadan and P.C. Sabatier: Inverse problems in quantum scattering theory. New York: Springer-Verlag 1989
While the work of Ref. [3] claims a unique solution in principle, whether current solutions are truly unique has recently been questioned by I.G. Alekseev et al., Phys. Rev. C55, 2049 (1997)
Note that forward and backward scattering are special cases for the amplitude reconstruction problem. For example, in πN scattering and photoproduction, the spin observables are either zero or ±1 at these angles. Therefore we need only a cross section measurement to determine these (essentially degenerate) transversity amplitudes up to an overall phase.
N.W. Dean and P. Lee: Phys. Rev. D5, 2741 (1972)
W.-T. Chiang and F. Tabakin: Phys. Rev. C55, 2054 (1997)
V. Dmitrasinovic, T.W. Donnelly and F. Gross: Complete measurements of scalar and pseudoscalar electroproduction, in Research Program at CEBAF (III), RPAC III, edited by F. Gross (CEBAF, Newport News, 1988), p. 547
This is briefly discussed in Refs. [1] and [2]. A modern perspective is given by G. Baym: The physics of Hanbury Brown—Twiss interferometry: from stars to nuclear collisions, lectures at the XXXVII Zakopane School, June 1997; nucl-th/9804026
H. Garcilazo, E.T. Boschitz, W. Gyles, W. List, C.R. Ottermann, R. Tacik, and M. Wessler: Phys. Rev. C39, 942 (1989)
The neglect of high partial waves can alter the resulting low partial waves, as has been discussed by A. Donnachie: Rep. Prog. Phys. 36, 695 (1973)
V.F. Grushin, A.A. Shikanyan, E.M. Leiken, and A. Ya. Rotvain: Yad. Fiz. 38, 1448 (1983)
V.F. Grushin, A.A. Shikanyan, E.M. Leiken, and A. Ya. Rotvain: Sov. J. Nucl. Phys. 38, 881 (1983)
R.L. Workman: Phys. Rev. C56, 1645 (1997)
I. Sabba Stefanescu: J. Math. Phys. 23, 1190 (1982), arguments were based on the assumed existence of cross section and P data, but not R and A data.
I.S. Barker, A. Donnachie and J.K. Storrow: Nucl. Phys. B95, 347 (1975)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag
About this paper
Cite this paper
Workman, R. (1999). Amplitude Analysis. In: Simula, S., Saghai, B., Mukhopadhyay, N.C., Burkert, V.D. (eds) N* Physics and Nonperturbative Quantum Chromodynamics. Few-Body Systems, vol 11. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6800-4_16
Download citation
DOI: https://doi.org/10.1007/978-3-7091-6800-4_16
Publisher Name: Springer, Vienna
Print ISBN: 978-3-7091-7410-4
Online ISBN: 978-3-7091-6800-4
eBook Packages: Springer Book Archive