Relativistic Multichannel Scattering Theory with Particle Creation

Details Relativistic Multichannel Scattering Theory with Particle Creation Relativistic Multichannel Scattering Theory with Particle Creation

Apr 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aps..apro13008c&link_type=abstract

American Physical Society, April Meeting, Jointly Sponsored with the High Energy Astrophysics Division (HEAD) of the American As

Astronomy and Astrophysics

Astrophysics

Scientific paper

Progress is reported on a mathematically rigorous multichannel relativistic scattering theory for a two-nucleon system that includes pseudo-scalar meson creation and annihilation. The fundamental interaction is a Yukawa-type interaction (with vertex function) in which a meson is emitted or absorbed by a nucleon. The associated fundamental Hilbert space has the Fock-space structure for mesons and bare nucleons. This instant-form theory is not a local field theory, nor is it based on the Bakamjian-Thomas construction. Asymptotic states are defined in terms of mesons and dressed nucleons and deuterons, all of which are freely moving. This leads to a two-Hilbert-space scattering theory, which is here carefully outlined. A time-independent multichannel transition operator is exhibited, general theoretical features (including the cluster property) are discussed, and some open problems are listed.

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