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Prog. Theor. Phys. Supplement No.37 & 38 (1966) pp. 67-73
Forward Scattering Amplitude at High Energy
Toichiro Kinoshita
Laboratory of Nuclear Studies, Cornell University, Ithaca, New York, U.S.A.
(Received June 18, 1966)
Abstract:
Recently Martin has enlarged the domain of analyticity of the scattering amplitudes substantially within the framework of axiomatic field theory. Although it is still much smaller than that assumed in the Mandelstam representation, it already imposes rather strong restrictions on the properties of the scattering amplitude. This paper is a review of some recent results concerning the high energy behavior of forward scattering amplitudes which are derived from unitarity and rigorously proved analyticity.
URL :
http://ptp.ipap.jp/link?PTPS/37/67/
DOI : 10.1143/PTPS.37.67
References:
- H. Lehmann, Nuovo Cim. 10 (1958), 579.
-
O. W. Greenberg and F. E. Low, Phys. Rev. 124 (1961), 2047[APS].
-
N. N. Khuri and T. Kinoshita, Phys. Rev. 137 (1965), B720[APS];
ibid. 140 (1965), B706[APS].
See also Y. S. Jin and S. W. MacDowell, Phys. Rev. 138 (1965), B1279[APS].
- A. Martin, Nuovo Cim. A 42 (1966), 901.
- J. Bros, H. Epstein and V. Glaser, Nuovo Cim. 31 (1964), 1265.
- A. Martin, Nuovo Cim. A 42 (1966), 930; ibid. 44 (1966), 1219.
-
M. Froissart, Phys. Rev. 123 (1961), 1053[APS].
-
Y. S. Jin and A. Martin, Phys. Rev. 135 (1964), B1375[APS].
-
T. Kinoshita, J. J. Loeffel and A. Martin, Phys. Rev. 135 (1964), B1464[APS].
-
Y. S. Jin and A. Martin, Phys. Rev. 135 (1964), B1369[APS].
The formulas in Table II are actually better than those of this reference by some power of ln s. This improvement is due to A. Martin, private communication.
- T. Kinoshita, Lectures in Theoretical Physics, Vol. VII B (Univ. of Colorado Press, 1965), p. 144.
See A. C. Finn, Phys. Rev. 132 (1963), 836, [APS]for an earlier version.
See also K. L. Kowalski, Phys. Rev. 137 (1965), B1350, [APS]
and J. D. Bessis, Nuovo Cim., to be published.
-
S. W. MacDowell and A. Martin, Phys. Rev. 135 (1964), B960[APS].
- I. Ia. Pomeranchuk, Zh. Eksp. Teor. Fiz. 34 (1958), 725 [ Sov. Phys. JETP 7 (1958), 499].
-
D. Amati, M. Fierz and V. Glaser, Phys. Rev. Lett. 4 (1960), 89[APS].
S. Weinberg, Phys. Rev. 124 (1961), 2049[APS].
M. Sugawara and A. Kanazawa, Phys. Rev. 123 (1961), 1895[APS].
A. Martin, Nuovo Cim. 39 (1965), 704.
See also papers quoted in references 15), 18) and 19).
- T. Kinoshita, Perspectives in Modern Physics (John Wiley and Sons, New York, 1966).
-
J. Bros, H. Epstein and V. Glaser, Commun. Math. Phys. 1 (1965), 240[CrossRef].
- K. Hepp, Helv. Phys. Acta 37 (1964), 639.
- N. N. Meiman, Zh. Eksp. Teor. Fiz. 43 (1962), 2277 [Sov. Phys. JETP 16 (1963), 1609].
-
R. J. Eden, Phys. Rev. Lett. 16 (1966), 39[APS].
- For further details see reference 15).
- For other sum rules of similar nature see
A. Martin, Phys. Lett. 15 (1965), 76 [Elsevier][
Errata; 16 (1965), 200[Elsevier]].
R. Wit, Acta Phys. Polonica 28 (1965), 861.
