On how once subtracted dispersion relations lead to a precise determination of {pi}{pi} scattering and the f{sub 0}(600) parameters

Journal Article · Thu Aug 05 04:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3483330· OSTI ID:21426391

Kaminski, Robert ^[1]; Garcia-Martin, R ^[2]; Pelaez, J ^[3]; Yndurain, F ^[4]

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1. Institute of Nuclear Physics Polish Academy of Sciences, Krakow (Poland)
2. Dpto. Fisica Teorica II, Universidad Complutense, Madrid, Spain and Groupe de Physique Theorique, Institut de Physique Nucleaire (IN2P3-CNRS), Orsay (France)
3. Dpto. Fisica Teorica II, Universidad Complutense, Madrid (Spain)
4. 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, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1257; ISSN 0094-243X; ISSN APCPCS
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BASIC INTERACTIONS
CALCULATION METHODS
COMPARATIVE EVALUATIONS
COMPOSITE MODELS
CROSSING SYMMETRY
DISPERSION RELATIONS
ENERGY RANGE
EVALUATION
HADRON-HADRON INTERACTIONS
INTERACTIONS
MATHEMATICAL MODELS
MESON-MESON INTERACTIONS
MEV RANGE
MONTE CARLO METHOD
P WAVES
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE MODELS
PION-PION INTERACTIONS
QUARK MODEL
S WAVES
SCATTERING AMPLITUDES
STRONG INTERACTIONS
SYMMETRY