LOW-ENERGY PION-KAON INTERACTIONS

Technical Report · Tue May 01 04:00:00 EDT 1962

OSTI ID:4756525

Arnold, R C

The scattering amplitudes for pi -K interaction are calculated with the inclusion of three interaction mechanisms; Swave pion pair exchange, P-wave pion pair exchange, and the bootstrap'' mechanism of K* exchange. The contributions are approximated by the exchange of resonant states, which are treated as stable particles for the purpose of estimating their effects. Calculations are carried out using an approximate form of the Chew-Mandelstam N-D elastic scattering formalism as proposed by Feldman, Matthews, and Salam. The coupling of the p meson, representing the P-wave pion pair, is derived in terms of the universal coupling hypothesis of Sakurai. The effect of S-wave pion pair exchange is represented by a T = 0, J = 0 quasiparticle termed the ABC resonance.'' Its mass and coupling constant to the pion are chosen to be roughly equivalent to the data of Abashain, which indicate a strong S-wave pion interaction, though not a resonance. Parameters for the p meson are taken from the data of Maglic, and experimental data on the K* resonance made use of from the work of Alston. The coupling constant of the ABC resonance'' to the K may be adjusted to vary the width of the calculated K* resonance, but only within narrow limits. With a reasonable width for K* assumed for the crossing contribution, the calculated K* position is considerably higher and the calculated width is much greater than experimental data indicate. The determining factors for the width are principally kinematical. The effect of a phenomenological high-mass exchange contribution is also considered. Results of the calculations show that if the K* is essentially created by the elastic bootstrap'' mechanism, the width must be at least 100 Mev to reproduce the experimental position. No resonances other than the J = 1, T = 1/2 (K*) are produced, although S-wave interactions are strong, and are similar to those which would be induced by bound or ghost S-wave states. (auth)

• Research Organization: Chicago. Univ. Enrico Fermi Inst. for Nuclear Studies and Chicago. Univ.
• NSA Number: NSA-17-015073
• OSTI ID: 4756525
• Report Number(s): EFINS-62-5(Rev.)
• Country of Publication: United States
• Language: English

Related Subjects

ABC RESONANCES
BOOTSTRAP MODEL
CHEW-MANDELSTAM FORMALISM
CROSS SECTIONS
ELEMENTARY PARTICLES
ENERGY
ENERGY LEVELS
FIELD THEORY
INTERACTIONS
KAONS
LIFETIME
MASS
NUMERICALS
P-WAVE
PARTICLE MODELS
PHYSICS
PIONS
QUANTUM MECHANICS
REACTION KINETICS
RESONANCE
RHO RESONANCES
S- WAVE
SCATTERING