A relativistic equation, known as the Kemmer-Duffin-Petiau (KDP) equation, for spin-0 particles is used to study low energy pion-nucleus scattering. This equation is linear and the optical potential is completely local in contrast to the quadratic Klein-Gordon equation which contains gradient terms in the p-wave part of the potential when applied to pion-nucleus scattering. Specifically, if we use an almost minimal coupling scheme (scalar and vector potentials), then this equation is equivalent to the Klein-Gordon equation with a Kisslinger potential and an effective Ericson-Ericson-Lorentz-Lorenz parameter $ lambda$ = 3. Experimentally, the $ lambda$ parameter is subject to uncertainty and no agreement has been reached about its value, though it must be greater than 1.6. The full KDP optical potential is obtained by taking the impulse terms from $ pi$-N scattering data and folding this with the nuclear density and then adding a true absorption contribution which is quadratic in the densities. It is shown that good agreement can be obtained for elastic scattering on light nuclei at low energies.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.59958 |
| Date | January 1991 |
| Creators | Alvarez del Castillo Astiazarán, Ricardo Ignacio |
| Publisher | McGill University |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | || |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Format | application/pdf |
| Coverage | Master of Science (Department of Physics.) |
| Rights | All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated. |
| Relation | alephsysno: 001234708, proquestno: AAIMM67536, Theses scanned by UMI/ProQuest. |
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