Theory of multichannel potential scattering with permanently confined channels

Journal Article · Mon Nov 15 04:00:00 EST 1976 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.14.2773· OSTI ID:7342244

Dashen, R F; Healy, J B; Muzinich, I J

A detailed investigation of a class of nonrelativistic multichannel potential scattering models is presented. A subset of the channels contain confinement potentials that allow only a discrete spectrum with an accumulation at +infinity (like the states of the quark model); the remaining channels contain the usual scattering states, which are allowed to communicate with the states of the permanently confined channel through an off-diagonal local potential. We formulate the problem in this paper in such a way that many of the usual properties of partial-wave scattering theory can be extended to this case. We generalize the Levinson theorem to include this class of models and attempt to use it to make a distinction between two types of resonances: those related to the fundamental states of the quark model and accidental resonances not associated with quark-model states. (AIP)

• Research Organization: Institute for Advanced Study, Princeton, New Jersey 08540
• OSTI ID: 7342244
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 14:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645500* -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
COMPOSITE MODELS
EIGENFUNCTIONS
ELASTIC SCATTERING
FUNCTIONS
HAMILTONIANS
LEVINSON THEOREM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRICES
MECHANICS
PARTIAL WAVES
PARTICLE MODELS
POTENTIAL SCATTERING
QUANTUM MECHANICS
QUANTUM OPERATORS
QUARK MODEL
S MATRIX
SCATTERING
WAVE FUNCTIONS