Unitary analytic isobar model for the reaction nucleon-meson to nucleon-meson-meson

Journal Article · Thu Jun 01 04:00:00 EDT 1978 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.17.3072· OSTI ID:6928857

Aitchison, I J.R.; Brehm, J J

The isobar model for a production amplitude is developed in a construction which incorporates unitarity and analyticity in each of the two-body isobar subenergy channels. The process KN ..-->.. K..pi..N is considered in order to illustrate and deal with the complications due to spin and unequal masses. The basic aspects of the description are presented in a truncation of the problem to the production of s-wave isobars. The two-body discontinuities in each isobar channel have been derived previously, and are employed here in dispersion relations for the isobar factor amplitudes. A prominent complicating feature is that due to half-angle kinematics; this is investigated without approximation, and factors associated with kinematical singularities are identified and extracted. A coupled system of single-variable integral equations for the isobar factors is obtained by means of a procedure due to Pasquier and Pasquier. The kernels of the integral equations are evaluated explicitly. These contain the two-body elastic amplitudes in each isobar channel, the parametrization of which propagates into the solution for the isobar production amplitudes. The formal solution of the linear system of equations for the isobar factors is indicated. The final result is unitary and analytic in each subenergy and satisfies two-body unitarity in the total energy as well.

• Research Organization: Department of Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3PQ, England
• OSTI ID: 6928857
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 17:11; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645206* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. = 1-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ANGULAR MOMENTUM
BOSONS
ELASTIC SCATTERING
ELEMENTARY PARTICLES
EQUATIONS
HADRON-HADRON INTERACTIONS
HADRONS
INTEGRAL EQUATIONS
INTERACTIONS
ISOBAR MODEL
KAON-NUCLEON INTERACTIONS
MATHEMATICAL MODELS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
MESONS
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PRODUCTION
PARTICLE PROPERTIES
PIONS
PSEUDOSCALAR MESONS
S WAVES
SCATTERING
SCATTERING AMPLITUDES
SPIN
UNITARITY