Approximate Crossing Sum Rules for Partial Wave Amplitudes
May, 197723 pages
Published in:
- Nucl.Phys.B 131 (1977) 232-254
- Published: 1977
Report number:
- Print-77-0431 (WUPPERTAL)
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Abstract: (Elsevier)
Based on a completeness property of the Legendre functions of the second kind Q J +2 n (1 + 2 s /( t − 4 μ 2 )), n = 0, 1, …, in a certain Hilbert space, crossing sum rules are derived, which approximate an appropriately weighted integral over one s -channel partial wave amplitude Im ƒ l (s) by a sum of integrals over t -channel partial wave amplitudes Im ƒ J+2n (t), n = 0, 1, … M . The error in this approximation which can be made arbitrarily small by taking into account more and more t -channel partial waves, is studied for various situations.- PARTIAL WAVE: SCATTERING AMPLITUDE
- SCATTERING AMPLITUDE: PARTIAL WAVE
- SUM RULE: CROSSING
- PARTIAL WAVE: FROISSART-GRIBOV
- SYMMETRY: CROSSING
- ABSORPTION
- MANDELSTAM REPRESENTATION
- SCATTERING AMPLITUDE: ANALYTIC PROPERTIES
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