A sum rule for the i=o, S wave phase shift in meson meson scattering from broken liouville symmetry
197010 pages
Published in:
- Nucl.Phys.B 15 (1970) 179-188
- Published: 1970
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Abstract: (Elsevier)
Starting from the equal-time commutators of the time-dependent generators D ( x o ) and K μ ( x o ), μ = 0, 1, 2, 3, of the dilatations and the special Liouville (conformal) transformations with the interpolating fields ϕ α ( x ) of scalar or pseudoscalar hadrons, it is possible to derive an interesting sum rule for the I =0, s-wave scattering phase shift of these mesons. The sum rule shows - among other things - that the dimension of length of the fields ϕ α ) x ) is intimately related to the number of resonances in their I =0, s-wave scattering channel: Canonical field theory predicts three such resonances. Finally, a scalar meson dominance model for the divergence of the dilatation current gives relations between several quantities of these resonances.- sum rule
- isospin
- partial wave
- meson meson: interaction
- interaction: meson meson
- field theory
- transformation: liouville
- symmetry: broken
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