Strange and nonstrange quark mass dependence of elastic light resonances from SU(3) unitarized chiral perturbation theory to one loop

Journal Article · Mon Mar 01 00:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.054035· OSTI ID:21409866

Nebreda, J; Pelaez, J R ^[1]

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1. Departamento de Fisica Teorica II, Universidad Complutense, 28040 Madrid (Spain)

We study the light quark mass dependence of the f{sub 0}(600), {kappa}(800), {rho}(770), and K*(892) resonance parameters generated from elastic meson-meson scattering using unitarized one-loop chiral perturbation theory. First, we show that it is possible to fit simultaneously all experimental scattering data up to 0.8-1 GeV together with lattice results on decay constants and scattering lengths up to a pion mass of 400 MeV, using chiral parameters compatible with existing determinations. Then, the strange and nonstrange quark masses are varied from the chiral limit up to values of interest for lattice studies. In these amplitudes, the mass and width of the {rho}(770) and K*(892) present a similar and smooth quark mass dependence. In contrast, both scalars present a similar nonanalyticity at high quark masses. Nevertheless, the f{sub 0}(600) dependence on the nonstrange quark mass is stronger than for the {kappa}(800) and the vectors. We also confirm the lattice assumption of quark mass independence of the vector two-meson coupling that, in contrast, is violated for scalars. As a consequence, vector widths are very well approximated by the Kawarabayashi-Suzuki-Riazuddin-Fayyazuddin relation, and their masses are shown to scale like their corresponding meson decay constants.

• OSTI ID: 21409866
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 5; Other Information: DOI: 10.1103/PhysRevD.81.054035; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
CHIRALITY
COUPLING
D QUARKS
K*-892 MESONS
MASS
MESON-MESON INTERACTIONS
MEV RANGE 100-1000
PARTICLE DECAY
PERTURBATION THEORY
PIONS
RESONANCE
RHO-770 MESONS
S QUARKS
SCATTERING
SCATTERING LENGTHS
SIMULATION
U QUARKS
BOSONS
DECAY
DIMENSIONS
ELEMENTARY PARTICLES
ENERGY RANGE
FERMIONS
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
LENGTH
MESONS
MEV RANGE
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PSEUDOSCALAR MESONS
QUARKS
STRANGE MESONS
STRANGE PARTICLES
VECTOR MESONS