&AC-PUB-849 January 1971 ANOTHER BOUND ON THE ABSORPTIVE PART OF ELASTIC SCATTERING AMPLITUDES*
نویسندگان
چکیده
Using Lagrange multipliers for inequality constraints, an upper bound on the absorptive part of elastic scattering amplitudes is derived assuming unitarity, a fixed total and elastic cross section, and the condition that the partial waves decrease monotonically with increasing angular momentum. Numerical results are given, (Submitted to J. Math. Phys.) * Work supported in part by the U, S. Atomic Energy Commission.
منابع مشابه
&AC-PUB-1068 (TH) and (EXP) AMPLITUDE ANALYSIS OF CHARGE EXCHANGE AND STRANGENESS EXCHANGE PROCESSES IN PSEUDOSCALAR-MESON BARYON SCATTERING USING THE DUAL ABSORPTIVE MODEL
An amplitude analysis of charge exchange and strangeness exchange reactions in pseudoscalar-meson baryon scattering is presented for the momentum interval -4to-16 GeV/c. The imaginary parts of the s-channel helicity nonflip and helicity flip amplitudes are assumed to have l’Jo’l and “Jltl structures, respectively, as specified by the dual absorptive model of Harari. This model has been successf...
متن کاملELASTIC Ktp SCATTERING AND A DUAL ABSOBPTIVE MODEL
A recent measurement of the differential cross sections for elastic K+p and K-p scattering is discussed within the framework of a dual absorptive model which was proposed earlier. The non-Pomeron part of the elastic scattering amplitude is shown to be strongly dominated by the most peripheral partial waves within the interaction radius, namely by the B N gr partial waves. (Submitted to Physics ...
متن کاملHELICITY AND PLANAR AMPLITUDES IN PION-PROTON SCATTERING AT 6.0 GeV/c
In addition to optimal conditions, invariant laws of Lorentz, parity and time reversal are imposed to find the relation between observables (spin rotation parameters) and bilinear combination of helicity amplitudes in pion-proton elastic scattering at 6.0 GeV/c. By normalizing the differential cross-section to unity, the magnitudes of helicity amplitudes and the angle between them are dete...
متن کاملNONDYNAMICAL ANALYSIS OF SPIN AMPLITUDES IN PION-PROTON ELASTIC SCATTERING IN OPTIMAL FORMALISM AT 6.0 GeV/C
Optimal conditions are used in nondynamical formalism to diagonalize the pionproton reaction matrix as much as possible. Invariance laws are imposed to simplify the relationship between observables and bilinear combination of amplitudes. Transverse amplitudes are determined by using measured polarization parameter in xfp elastic scattering at 6.0 GeVIC
متن کاملPOMERON AND f EXCHANGE AMPLITUDES IN ELASTIC ~ ? p SCATTERING
The dual absorptive model of Harari is shown to explain consistently the s ant t dependence of the sum of 7;‘~ and n-p elastic differential cross sections at high energy. The Pomeron amplitude shrinks at a rate similar to that of K+p elastic scattering while the f amplitude is shown to be dominated by peripheral partial waves at a radius * 1 fermi. Finally, the shrinkage and s dependence of the...
متن کامل