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Interference phenomena of neutral K mesons
ANNALS
OF PHYSICS:
Abstracts
21,
593697
(1963)
of Papers
to Appear
in Future
Issues
Two-Body Methods for Three-Body Problems. L. M. DELVES AND G. H. DERRICK, Applied Mathematics Department, University of New South Wales, Kensington, N.S.W., Australia. The “equivalent two-body method” first introduced by Wigner for deriving triton wave functions is shown to be obtainable directly from the variation principle for the energy. It is extended to cover the general case of noncentral, hard core interactions, for both the bound state and for scattering states, including the breakup reaction. Methods are given for systematically improving the wave function. Interference Phenomena of Neutral k’ Mesons. R. G. SACHS, Department of Physics, University of Wisconsin, Madison 6, Wisconsin. A systematic theoretical treatment of various interference phenomena of the neutral h’ mesons is presented. The phenomena are treated for the extreme case that CPT, CP, and T invariance are all violated. Consequences of these invariances are then derived. Section II gives the relationships imposed on the propagators by the invariance conditions and Section III presents the general analysis of the K,, KP problem in terms of the propagator. In Section IV the space-time development of a KO beam is treated and this is applied to the general problem of KO decay in Section V. Section V also contains a discussion of the 2~ decay mode while the leptonic modes are treated in Section VI. Finally, in Section VII the scattering and regeneration of Kl and Kq mesons is discussed with particular reference to regenerative forward scattering. K--Deuterium Interactions. RAMESH CHAND, The Enrico Fermi Institute for Nuclear Studies and the Department of Physics, The University of Chicago, Chicago, Illinois. Expressions for differential cross sections for elastic scattering, charge-exchange scattering, scattering with deuteron disintegration and of the total cross sections for certain absorptive processes involving hyperon production are given for K--d collisions as function of incident K--momentum. These have been obtained using the zero-range boundary condition method of Dalitz and Tuan for the representation of the iiN interaction and of its extension by Dalitz to include the *Y channels, and include the multiple scattering effects in the initial iiNN state. Illustrative calculations of these cross sections are given for the EN scattering amplitudes given by Ross and Humphrey (for low momentum) and by Watson (for 400 Mev/c). Tolerable agreement with the rather limited data on K--d cross sections between 100 and 300 Mev/c is obtained for a reasonable int,erpolation between these amplitudes as function of momentum. Regge Cuts and Three Particle States in a Nonrelatiaistic Model. I. T. DRUMMOND, Department Applied Mathematics and Theoretical Physics, Cavendish Laboratory, Cambridge, England. This paper is an attempt to examine the effect of three-particle states on analyticity properties in the complex angular momentum plane, in a simple nonrelativistic model. The partial wave equations of the model are prototypes for the equations governing a Schrijdinger many-body problem when cast in multichannel form. It is found that if these 593
OF PHYSICS:
Abstracts
21,
593697
(1963)
of Papers
to Appear
in Future
Issues
Two-Body Methods for Three-Body Problems. L. M. DELVES AND G. H. DERRICK, Applied Mathematics Department, University of New South Wales, Kensington, N.S.W., Australia. The “equivalent two-body method” first introduced by Wigner for deriving triton wave functions is shown to be obtainable directly from the variation principle for the energy. It is extended to cover the general case of noncentral, hard core interactions, for both the bound state and for scattering states, including the breakup reaction. Methods are given for systematically improving the wave function. Interference Phenomena of Neutral k’ Mesons. R. G. SACHS, Department of Physics, University of Wisconsin, Madison 6, Wisconsin. A systematic theoretical treatment of various interference phenomena of the neutral h’ mesons is presented. The phenomena are treated for the extreme case that CPT, CP, and T invariance are all violated. Consequences of these invariances are then derived. Section II gives the relationships imposed on the propagators by the invariance conditions and Section III presents the general analysis of the K,, KP problem in terms of the propagator. In Section IV the space-time development of a KO beam is treated and this is applied to the general problem of KO decay in Section V. Section V also contains a discussion of the 2~ decay mode while the leptonic modes are treated in Section VI. Finally, in Section VII the scattering and regeneration of Kl and Kq mesons is discussed with particular reference to regenerative forward scattering. K--Deuterium Interactions. RAMESH CHAND, The Enrico Fermi Institute for Nuclear Studies and the Department of Physics, The University of Chicago, Chicago, Illinois. Expressions for differential cross sections for elastic scattering, charge-exchange scattering, scattering with deuteron disintegration and of the total cross sections for certain absorptive processes involving hyperon production are given for K--d collisions as function of incident K--momentum. These have been obtained using the zero-range boundary condition method of Dalitz and Tuan for the representation of the iiN interaction and of its extension by Dalitz to include the *Y channels, and include the multiple scattering effects in the initial iiNN state. Illustrative calculations of these cross sections are given for the EN scattering amplitudes given by Ross and Humphrey (for low momentum) and by Watson (for 400 Mev/c). Tolerable agreement with the rather limited data on K--d cross sections between 100 and 300 Mev/c is obtained for a reasonable int,erpolation between these amplitudes as function of momentum. Regge Cuts and Three Particle States in a Nonrelatiaistic Model. I. T. DRUMMOND, Department Applied Mathematics and Theoretical Physics, Cavendish Laboratory, Cambridge, England. This paper is an attempt to examine the effect of three-particle states on analyticity properties in the complex angular momentum plane, in a simple nonrelativistic model. The partial wave equations of the model are prototypes for the equations governing a Schrijdinger many-body problem when cast in multichannel form. It is found that if these 593