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zeige Details Karpf, Armin D., Liehl, Hermann J. Analytic continuation of the Regge pole residue function
in: The European physical journal , ISSN 1434-601X, Vol. 235 (5. 1970), p. 463-473
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1970
Abstract We show that the Regge residue functiony(s) is particularly well suited for performing unitarity bootstrap calculations. The reason is that firstlyy(s) has only one, viz. the right hand, cut along which its value can be evaluated from direct channel unitarity using a parameterfree representation for the partial wave amplitudeS(l, s). Secondly its values for negative real argument follow directly from large-energy scattering with the exchange of one Regge pole in the crossed channel. These values can be evaluated from the sameS(l, s) representation by partial wave sums. Then all one needs for a bootstrap system is an analytic connection of these 2 different pieces of information. We show that this can be achieved by logarithmic dispersion relations. This bootstrap system is supposed to compete favorably with the old unitaryN/D calculations. We finally also propose a new parameter free representation ofS(l, s) which applies equally well as that of Cheng. One main result is that Im α(s) has to decrease exponentially for larges.
Copyright: Copyright 1970 Springer-Verlag
beteiligte Personen: Karpf, Armin D. , Liehl, Hermann J.
Format: Elektronisch
Erschienen: 1970.
Serie: Springer Online Journal Archives 1860-2000 [Dig. Serial]
Schlagwörter:
URL: http://dx.doi.org/10.1007/BF01394937

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