We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.

Durham e-Theses
You are in:

Dispersion relations and low – energy meson - meson interactions

Carrotte, John Brewster (1972) Dispersion relations and low – energy meson - meson interactions. Doctoral thesis, Durham University.



This thesis deals with some general work on the use of inverse amplitude dispersion relations to describe low-energy ππ and πK scattering, and how the sub-threshold amplitudes may then be used to describe noa-leptonic decays. In chapter one we introduce the ideas which form the background to the structure of meson-iueson scattering. In chapter two we investigate a four parameter family of solutions to the ππ partial-wave dispersion relations using the inverse amplitude method assuming elastic unitarity. The S-waves have sub-threshold zeros consistent with the Adler condition and inelastic effects are estimated and found to be small below the rho-meson mass. In chapter three we analytically continue the sub-threshold ππ amplitude found previously to fit the structure of the Dalitz plot in the non-leptonic decays K→3π and ∫→3π. In chapter four we review the unitary effective-range expansions which have been used to describe ππ scattering, and we examine a new unitary effective-range expansion which we use to describe the S-waves of πK scattering giving some estimate of the left-hand cut contributions to the amplitude. In chapter five we extend these amplitudes by making a careful analysis of the left-hand cut and circle cut contributions to the π K partial-wave dispersion relations using the inverse amplitude method. Finally in chapter six we investigate how the ∫ and its associated SU(3) generalization, the Ϭ (962), fit into the overall picture we are able to conclude from our calculations.

Item Type:Thesis (Doctoral)
Award:Doctor of Philosophy
Thesis Date:1972
Copyright:Copyright of this thesis is held by the author
Deposited On:13 Nov 2013 15:42

Social bookmarking: del.icio.usConnoteaBibSonomyCiteULikeFacebookTwitter