Some properties of the double spectral function for dual amplitude with mandelstam analyticity

1973 ◽  
Vol 16 (3) ◽  
pp. 891-894
Author(s):  
A. I. Bugrii
Keyword(s):  
Spectral Function ◽  
Dual Amplitude ◽  
Mandelstam Analyticity ◽  
Double Spectral Function

Factorizing dual amplitude with mandelstam analyticity and Kp backward scattering

1974 ◽  
Vol 10 (9) ◽  
pp. 379-385
Author(s):  
L. Gonzalez Mestres ◽  
R. Hong Tuan
Keyword(s):  
Dual Amplitude ◽  
Mandelstam Analyticity

Some analytic properties of three-pion decay amplitudes

1962 ◽  
Vol 266 (1324) ◽  
pp. 68-83 ◽  
Keyword(s):  
Dispersion Relation ◽  
Spectral Function ◽  
Decay Amplitude ◽  
Dispersion Relations ◽  
Pion Decay ◽  
Physical Domain ◽  
Physical Sheet ◽  
Double Dispersion ◽  
Double Spectral Function

It is shown for all graphs of the ‘strip approximation’ that the K ->3n decay amplitude obeys a Mandelstam double-dispersion relation. The double spectral function turns out to be complex and covers the whole physical domain, so that the Cini-Fubini approximation is no longer valid. Essential singularities are found on the border of the physical sheet. Double-dispersion relations in one energy and in the K mass are also derived.

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