PRODUCTION OF MESONS AND BARYONS WITH ANOMALOUS HYPERCHARGES

Technical Report · Fri Jun 01 04:00:00 EDT 1962

OSTI ID:4738219

Gupta, S N

Experiments are suggested for determining whether 122 to 158 deg /sup sup 14/ recover mesons and X/sup +/ and Y/sup -/ baryons having hypercharges = ction in DDT-C/ 1 exist, and if they exist, whether they decay via strong interactions. (T.F.H.) Multiple scattering phenomena are considered without imposing such traditional assumptions as an infinite medium, no energy changes in scattering, a scattering law restricted in energy or angle variations. Angle integrations, in fact, are carried through for any scattering law with no approximations. The particles considered are any having a distribution governed by the linear Boltzmann equation. It is shown quite generally that the particle current energy spectrum in any volume element can be related to the gradient of the angle-integrated flux spectrum. This relatlonship in general is not through a diffusion constant, but through a transport operator that takes into account not only all orders of spatial variation but also anisotropic scattering from all energies. This means that the flux and the current can be obtained from the solution of a single integro, differential equation rather than by synthesizing separate solutions of coupled equations. The angular components of the flux can be generated as desired, but it is not necessary that they be found explicitly in order to arrive at a solution to the problem. Further it is proved that it is always possible to synthesize the flux spectrum in a uniform region of space from functions that are separable in space and energy variations. Finally, it is shown that the transport operator can be written in terms of energy Green's functions that occur in the infinite medium-uniform source problem. These functions are extensions of the Placzek functions obtained for isotropic scattering. Besides linking the theory for finite media with the far simpler infinite medium-uniform source problem, the present treatment provides a framework for judging directiy the adequacy of the many approximate theories. 23 references. (auth)

• Research Organization: Argonne National Lab., Ill.
• DOE Contract Number: W-31109-ENG-38
• NSA Number: NSA-17-019044
• OSTI ID: 4738219
• Report Number(s): TID-16612; UAC-6579
• Country of Publication: United States
• Language: English

Related Subjects

BARYONS
DECAY
ELECTRIC CHARGES
HYPERCHARGE
HYPERONS
INTERACTIONS
MESONS
NUCLEAR MODELS
NUCLEONS
PARTICLE MODELS
PHYSICS
QUANTUM MECHANICS