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INTEGRAL EQUATIONS FOR $pi$$-$$pi$ SCATTERING AND CONVERGENCE PROBLEMS OF THE AMPLITUDE EXPANSION

Technical Report ·
OSTI ID:4015285

The convergence problems connected with the cosine expansions for deriving integral equations from the Mandelstam representation are studied for pi - pi scattering. A set of equations for low energies is given in which a good convergence of the real part of the amplitude expansion is achieved with the help of a conformal transformation of the cosine plane. Since each power of the expansion function contains an infinity of partial waves, this approach is convenient in cases in which higher waves are expected to play an important role. (auth)

Research Organization:
Joint Inst. for Nuclear Research, Dubna, U.S.S.R. Lab. of Theoretical Physics
NSA Number:
NSA-15-018411
OSTI ID:
4015285
Report Number(s):
JINR-E-675
Country of Publication:
USSR
Language:
English

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