On the Semiphenomenological Bounds for the Pion Pion Coupling Constant

Apr, 1976
18 pages
Published in:
  • Nucl.Phys.B 113 (1976) 285-302
  • Published: 1976
Report number:
  • SACLAY-DPh-T/76/8

Citations per year

1977197819791980201
Abstract: (Elsevier)
Upper and lower bounds on the Chew-Mandelstam ππ coupling constant λ are derived as functions of the D-wave scattering length a 2 . The only information used is the axiomatic analyticity domain of the ππ scattering amplitude, and the crossing and unitarity properties. For a 2 = 7 × 10 −4 , one obtains −0.164< λ <0.162. This is compared with previous bounds.
  • PI0 PI0: COUPLING CONSTANT
  • COUPLING CONSTANT: PI0 PI0
  • MODEL: CHEW-MANDELSTAM
  • PARTIAL WAVE
  • SCATTERING LENGTH
  • SCATTERING AMPLITUDE: ANALYTIC PROPERTIES
  • SYMMETRY: CROSSING
  • UNITARITY
  • NUMERICAL CALCULATIONS