Experimental status of the {pi}{pi} isoscalar S wave at low energy: f{sub 0}(600) pole and scattering length

Journal Article · Mon Oct 01 04:00:00 EDT 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.76.074034· OSTI ID:21032361

Garcia-Martin, R; Pelaez, J R; Yndurain, F J ^[1]

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1. Departamento de Fisica Teorica II - Metodos Matematicos de la Fisica, Universidad Complutense de Madrid, 28040 Madrid (Spain) and Departamento de Fisica Teorica, C-XI, Universidad Autonoma de Madrid, Canto Blanco, 28049 Madrid (Spain)

The experimental results obtained in the last few years on kaon decays (K{yields}2{pi} and, above all, Ke4 decays) allow a reliable, model-independent determination of low energy {pi}{pi} scattering in the S0 wave. Using them and, eventually, other sets of data, it is possible to give a precise parametrization of the S0 wave as well as to find the scattering length and effective range parameter. One can also perform an extrapolation to the pole of the 'sigma resonance' [f{sub 0}(600)]. We obtain the results a{sub 0}{sup (0)}=0.233{+-}0.013M{sub {pi}}{sup -1}, b{sub 0}{sup (0)}=0.285{+-}0.012M{sub {pi}}{sup -3}, and, for the sigma pole, M{sub {sigma}}=484{+-}17 MeV, {gamma}{sub {sigma}}/2=255{+-}10 MeV.

• OSTI ID: 21032361
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 7 Vol. 76; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EXTRAPOLATION
KAONS
MEV RANGE
PARTICLE DECAY
PION-PION INTERACTIONS
PIONS
RESONANCE PARTICLES
S WAVES
SCATTERING LENGTHS