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Il Nuovo Cimento (1955-1965)

, Volume 39, Issue 3, pp 905–927 | Cite as

The Low-energy pion-kaon interaction

  • A. D. Martin
  • L. L. J. Vick
Article

Summary

An attempt is made to find a self-consistent solution of the πK partial-wave and fixed momentum-transfer dispersion relations. The existence of the K* resonance is assumed at the outset of the calculation. The solution is found to predict a reasonable value for the kaon form factor; to give a value of the ρKK coupling constant comparable to that predicted by unitary symmetry; and to be in good agreement with an analysis of the data for Kp inelastic scattering. Although an attractiveI=1/2s-wave πK phase shift is found, no χ(725 MeV) resonance is generated in this channel. In particular it is found hard to determine the value of the isospin plus combination of thes-wave πK scattering lengths; the value most favoured by this calculation is in disagreement with that predicted from an analysis of K+p elastic scattering data. The forces that give rise to the πK interaction are given and in particular it is found that short-range forces are extremely important in producing the K* resonance.

Riassunto

Si fa il tentativo di trovare una soluzione autocoerente delle relazioni di dispersione di onda parziale e di momento trasferito fisso di πK. All’inizio del calcolo si ammette l’esiztenza della risonanza K*. Si trova che la soluzione predice un valore ammissibile del fattore di forma del kaone, dà un valore della costante dell’accoppiamento ρKK confrontabile con quello predetto dalla simmetria unitaria, ed è in buon accordo con un’analisi dei dati sullo scattering anelastico Kp. Sebbene si trovi uno spostamento di fase πK,I=1/2, in ondas, attrattivo, non si genera in questo canale alcuna risonanza χ (725 MeV). In particolare risulta difficile determinare il valore della combinazione di isospin positivi delle lunghezze dello scattering πK in ondas; il valore più favorito da questo calcolo è in discordanza con una analisi dei dati dello scattering elastico K+p. Si descrivono le forze che danno origine all’interazione πK e in particolare si trova che le forze di corto raggio d’azione sono molto importanti nella produzione della risonanza K*.

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Copyright information

© Società Italiana di Fisica 1965

Authors and Affiliations

  • A. D. Martin
    • 1
  • L. L. J. Vick
    • 2
  1. 1.Department of PhysicsUniversity of DurhamDurham
  2. 2.Tait Institute of Mathematical PhysicsUniversity of EdinburghEdinburgh

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