Regularization of the Roy equations with a smooth cutoff

Journal Article · Thu Dec 01 04:00:00 EST 1977 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.523228· OSTI ID:7287506

Atkinson, D; Pool, T P; Slim, H A

The Roy equations for ..pi pi.. scattering are combined with unitarity to give a nonlinear system of equations for the determination of the low-energy amplitudes. A Hoelder continuous interpolation between the input high-energy absorptive parts and the output low-energy absorptive parts is implemented; and the resultant singular equations are regularized by means of an effective inelastic N/D method. If the scattering lengths, the CDD parameters, and the high-energy absorptive parts satisfy certain constraints, then there exists a locally unique solution of the system.

• Research Organization: Instituut voor Theoretische Natuurkunde, Hoogbouw WSN, Postbus 800, Universiteitscomplex Paddepoel, Groningen, the Netherlands
• OSTI ID: 7287506
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 18:12; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645500* -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ANALYTICAL SOLUTION
ELASTIC SCATTERING
EQUATIONS
HADRON-HADRON INTERACTIONS
INTEGRAL EQUATIONS
INTERACTIONS
MESON-MESON INTERACTIONS
NUMERICAL SOLUTION
PARTIAL WAVES
PARTICLE INTERACTIONS
PION-PION INTERACTIONS
S WAVES
SCATTERING
SCATTERING AMPLITUDES