An N/D formalism based on a modified phase representation is used to study the effects of inelasticity on the ρ-wave pion-pion amplitude. The effects of high-energy inelasticity are introduced in terms of the assumed behavior of the high-energy phase (not phase shift) of the partial-wave amplitude. Using a ρ-exchange input force with the experimental ρ mass and a ρ width of about 100 MeV, and the assumption that the average phase is (1/2)π, for total c.m. energies greater than about 8Mπ, we find that there is no appreciable reduction in the width of the calculated ρ-wave resonance. We also investigate the effects of low-energy inelastic channels that may contribute through the inelasticity parameter η for E ≤ Ei, where Ei is the energy above which the phase assumption is made. None of the forms for η that were used resulted in an output width less than about 280 MeV.



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© 1968 American Physical Society (APS), All rights reserved.

Publication Date

01 Oct 1968

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