Analytical {pi}{pi} scattering amplitude and the light scalars

Journal Article · Tue Mar 01 04:00:00 EST 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.054008· OSTI ID:21578184

Achasov, N N ^[1]; Kiselev, A V ^[1]

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1. Laboratory of Theoretical Physics, Sobolev Institute for Mathematics, 630090, Novosibirsk (Russian Federation)

In this work we construct the {pi}{pi} scattering amplitude T{sub 0}{sup 0} with regular analytical properties in the s complex plane, which describes simultaneously the data on the {pi}{pi} scattering, {phi}{yields}{pi}{sup 0}{pi}0{gamma} decay, and {pi}{pi}{yields}KK reaction. The chiral shielding of the {sigma}(600) meson and its mixing with the f{sub 0}(980) meson are also taken into account. The data agrees with the four-quark nature of the {sigma}(600) and f{sub 0}(980) mesons. The amplitude in the range -5m{sub {pi}}{sup 2}<s<0.64 GeV{sup 2} also agrees with results, obtained on the base of the chiral expansion, dispersion relations, and the Roy equations.

• OSTI ID: 21578184
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 5 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BOSONS
CHIRALITY
DECAY
DISPERSION RELATIONS
ELEMENTARY PARTICLES
EQUATIONS
F0-980 MESONS
FERMIONS
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
MESON-MESON INTERACTIONS
MESONS
PARTICLE DECAY
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PION-PION INTERACTIONS
QUARKS
SCALAR MESONS