[en] We consider two well-known classes of unitarization of Born amplitudes of hadron elastic scattering. The standard class, which saturates at the black disk limit includes the standard eikonal representation, while the other class, which goes beyond the black-disk limit to reach the full unitarity circle, includes the U matrix. It is shown that the basic properties of these schemes are independent of the functional form used for the unitarisation, and that U matrix and eikonal schemes can be extended to have similar properties. A common form of unitarisation is proposed interpolating between both classes. The correspondence with different nonlinear equations are also briefly examined.
Disciplines :
Physics
Author, co-author :
Cudell, Jean-René ; Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Interactions fondamentales en physique et astrophysique
Predazzi, E.
Selyugin, O. V.
Language :
English
Title :
New analytic unitarization schemes
Publication date :
2009
Journal title :
Physical Review. D, Particles and Fields
ISSN :
0556-2821
eISSN :
1089-4918
Publisher :
American Physical Society, College Park, United States - Maryland
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Bibliography
E. Predazzi, Ann. Phys. (N.Y.) APNYA6 0003-4916 36, 228 (1966); 10.1016/0003-4916(66)90220-X
E. Predazzi Ann. Phys. (N.Y.) APNYA6 0003-4916 36, 250 (1966). 10.1016/0003-4916(66)90221-1
J.R. Cudell and O.V. Selyugin, Czech. J. Phys. 54, A441 (2004). CZLIA6 0011-4626
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