Quark mass dependence of light resonances and phase shifts in elastic {pi}{pi} and {pi}K scattering

Journal Article · Tue Dec 28 00:00:00 EST 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3542014· OSTI ID:21511398

Nebreda, J; Pelaez, J R ^[1]

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

We study the light quark mass dependence of the {pi}{pi} scattering phase shifts in standard one and two-loop SU(2) Chiral Perturbation Theory (ChPT). We then repeat the study with unitarized ChPT and, furthermore, we extend the analysis to SU(3) and generate the elastic f{sub 0}(600),{kappa}(800), {rho}(770) and K*(892) resonances from unitarization. The quark masses are varied up to values of interest for lattice studies. We find that the SU(2){pi}{pi} phase shifts both in standard and unitarized ChPT depend very softly on the pion mass and that our results are in fair agreement with lattice results in the I = 2, J = 0 channel. In the SU(3) amplitudes, the mass and width of the {rho}(770) and K*(892) present an analogous and smooth quark mass dependence. In contrast, both scalars present a similar non-analyticity at high quark masses. We also confirm the lattice assumption of independence of the vector two-meson coupling on the quark mass, that is, nevertheless, violated for scalars.

• OSTI ID: 21511398
• Journal Information: AIP Conference Proceedings, Vol. 1322, Issue 1; Conference: International workshop on chiral symmetry in hadrons and nuclei, Valencia (Spain), 21-24 Jun 2010; Other Information: DOI: 10.1063/1.3542014; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
CHIRALITY
COUPLING
D QUARKS
ELASTIC SCATTERING
K*-892 MESONS
LATTICE FIELD THEORY
MASS
PARTICLE DECAY
PERTURBATION THEORY
PHASE SHIFT
PION-PION INTERACTIONS
PIONS
QUANTUM CHROMODYNAMICS
RESONANCE
RHO-770 MESONS
SU-2 GROUPS
SU-3 GROUPS
U QUARKS
BOSONS
CONSTRUCTIVE FIELD THEORY
DECAY
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
LIE GROUPS
MESON-MESON INTERACTIONS
MESONS
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
QUARKS
SCATTERING
STRANGE MESONS
STRANGE PARTICLES
SU GROUPS
SYMMETRY GROUPS
VECTOR MESONS