The relativistic Schrödinger equation and its application to pseudoscalar meson baryon scattering in a broken SU(3) symmetry model

The problem of pseudosca1ar meson baryon scattering is discussed within the framework of the relativistic Schrodinger equation and in the four lowest partia1 waves. The driving force (potential) is obtained by ca1culating the allowed single particle exchange processes for which thee~oharged particles have spin less than or equal to l/2. The on shell potential is obtained using Feynman's ru1es with coupling constants assumed to be related by SU(3) , and actual experimental Illasses qre used for; both the exchanged and incom~ng Or outgoing partie les. The potential is thep. e:/ttP~- pq1ate~ qff shell and the coupled system of linear integral equations for the scattering amp1itude is solved numerically, In some of the cases under consideration the potential is SU(3) that a non-Fredho1m system of integral equations is obtained. In these cases a cutoff is introduced to convert them into a Fredholm system which can then be solved numerically. Phase Shifts are then computed and compared with experiment. Other techniques of calculating scattering amplitudes are reviewed and their predictions compared with th0$e obtained by solving the relativistic Schrodinger equation. Some emphasis is placed on the Blankenbecker-Sugar equation and its relation t;:o the relativistic Schrodinger equation, the formal properties of which are also reviewed, The solutions to the relativistic Schrodinger equation and the Blankenbec1er-Sugar equation and their dependence on different ways of extrapolating the potentia1 off shell or introdcing a cutoff are also discus$ed with examples. The mode1 accounts for most of the experimentally known baryon resonances.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Year dc:date

2011

Author dc:creator

• Katz-Masson, Jose

Contributors dc:contributor

• Wyld, H.W.

• relativistic Schrodinger equation
• pseudoscalar meson baryon scattering
• broken symmetry model

Statement dc:rights

• 1967 Jose Katz-Masson

Language dc:language

en

Identifier

2444980

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/25719