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ON THE DERIVATION OF EQUATIONS FROM THE MANDELSTAM REPRESENTATION

Technical Report ·
OSTI ID:4017111

ABS>A method for the derivation of integral equations for partial wave scattering amplitudes is discussed. The dependence of the imaginary part of the scattering amplitude on cos theta = c was put into an explicit form using spectral representation. A general approach to the problem of deriving integral equations for low energy processes from the dispersion relation and unitary conditions is proposed. For deriving integral equations those angles were chosen for which the Legendre expansion fails only at the distant part of the unphysical region. This method was applied to pi - pi and pi -n scattering. (M.C.G.)

Research Organization:
Joint Inst. for Nuclear Research, Dubna, U.S.S.R. Lab. of Theoretical Physics
NSA Number:
NSA-15-025452
OSTI ID:
4017111
Report Number(s):
JINR-E-539
Country of Publication:
USSR
Language:
English

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