On how once subtracted dispersion relations lead to a precise determination of {pi}{pi} scattering and the f{sub 0}(600) parameters
Journal Article
·
· AIP Conference Proceedings
- Institute of Nuclear Physics Polish Academy of Sciences, Krakow (Poland)
- Dpto. Fisica Teorica II, Universidad Complutense, Madrid, Spain and Groupe de Physique Theorique, Institut de Physique Nucleaire (IN2P3-CNRS), Orsay (France)
- Dpto. Fisica Teorica II, Universidad Complutense, Madrid (Spain)
- Departamento de Fisica Teorica, Universidad Autonoma de Madrid, Cantoblanco, Madrid (Spain)
We present and compare once and twice subtracted dispersion relations including crossing symmetry constraints in order to test the S- and P-wave {pi}{pi} amplitudes below 1100 MeV. We show that twice subtracted dispersion relations provide stringent constraints on the {pi}{pi} amplitudes below about 400 MeV than those with one subtraction. Above this energy GKPY eqs. become, however, a more demanding test of {pi}{pi} amplitudes, thus providing a new tool for the precise determination of {pi}{pi} scattering. We also show that due to strong constraints imposed by the GKPY eqs. they are useful for the determination of the f{sub (600)} pole position with high accuracy.
- OSTI ID:
- 21426391
- Journal Information:
- AIP Conference Proceedings, Vol. 1257, Issue 1; Conference: HADRON 2009: 13. international conference on hadron spectroscopy, Tallahassee, FL (United States), 29 Nov - 4 Dec 2009; Other Information: DOI: 10.1063/1.3483330; (c) 2010 American Institute of Physics; ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPARATIVE EVALUATIONS
CROSSING SYMMETRY
DISPERSION RELATIONS
MEV RANGE
MONTE CARLO METHOD
P WAVES
PION-PION INTERACTIONS
QUARK MODEL
S WAVES
SCATTERING AMPLITUDES
STRONG INTERACTIONS
AMPLITUDES
BASIC INTERACTIONS
CALCULATION METHODS
COMPOSITE MODELS
ENERGY RANGE
EVALUATION
HADRON-HADRON INTERACTIONS
INTERACTIONS
MATHEMATICAL MODELS
MESON-MESON INTERACTIONS
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE MODELS
SYMMETRY
COMPARATIVE EVALUATIONS
CROSSING SYMMETRY
DISPERSION RELATIONS
MEV RANGE
MONTE CARLO METHOD
P WAVES
PION-PION INTERACTIONS
QUARK MODEL
S WAVES
SCATTERING AMPLITUDES
STRONG INTERACTIONS
AMPLITUDES
BASIC INTERACTIONS
CALCULATION METHODS
COMPOSITE MODELS
ENERGY RANGE
EVALUATION
HADRON-HADRON INTERACTIONS
INTERACTIONS
MATHEMATICAL MODELS
MESON-MESON INTERACTIONS
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE MODELS
SYMMETRY