Upper Bound for the Double Spectral Function in Potential Scattering

1965 ◽  
Vol 20 (5) ◽  
pp. 643-648
Author(s):  
Charles Thompson
Keyword(s):  
Spectral Function ◽  
Upper Bound ◽  
Potential Scattering ◽  
Double Spectral Function

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function turns out to be complex and covers the whole physical domain, so that the Cini-Fubini approximation is no longer valid.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.

Third double-spectral function effects

1968 ◽  
Vol 54 (2) ◽  
pp. 529-531 ◽  
Author(s):  
J. H. Schwarz
Keyword(s):  
Spectral Function ◽  
Double Spectral Function
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