Study of the Roy Equations. 3. Iterative Solutions
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Abstract: (Springer)
With the existence of solutions established, we proceed with an iterative analysis of the Roy equations combined with unitarity. It turns out that the system does not constrain the scattering lengths very strongly. Since the straightforward iteration is plagued by a serious handicap, namely that the phase shifts may not exceed 45° in the domain of iteration, we must switch to theN/D version of the equations, in which this handicap is circumvented. We discuss thoroughly which values for theI=0 andI=2S-wave scattering lengths are consistent with our equations. If theI=1P-wave scattering length has values in a “phhsical” range, the other two have values in a certain band in the plane spanned by them.- PI PI: ELASTIC SCATTERING
- ELASTIC SCATTERING: PI PI
- UNITARITY
- SCATTERING LENGTH: PI PI
- PARTIAL WAVE: DISPERSION RELATION
- SCATTERING LENGTH: NUMERICAL CALCULATIONS
- SCATTERING AMPLITUDE: NUMERICAL CALCULATIONS
- UP TO 0.35 GEV-SQUARED
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