Physical-region constraints on low-energy partial-wave amplitudes

1970
7 pages
Published in:
  • Phys.Rev.D 2 (1970) 247-253

Citations per year

197019831996200920221480
Abstract: (APS)
On the basis of analyticity, crossing, and positivity of the imaginary parts of the partial-wave amplitudes, we derive inequalities on integrals involving the low partial waves of elastic π0π0 scattering in the physical region. The integrals are sensitive only to the low-energy region, and can therefore be tested once a phase-shift analysis is given. The relations can be used to discriminate between various proposed π0π0 phase shifts.
  • analytic properties
  • symmetry: crossing
  • partial wave: scattering amplitude
  • scattering amplitude: partial wave
  • pi0 pi0: elastic scattering
  • elastic scattering: pi0 pi0