Inverse amplitude method in chiral perturbation theory

Journal Article · Mon Sep 01 04:00:00 EDT 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.56.3057· OSTI ID:538729

Dobado, A ^[1]; Pelaez, J R ^[2]

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1. Departamento de Fisica Teorica, Universidad Complutense, 28040 Madrid (Spain)
2. Theoretical Physics Group, Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720 (United States)

Based on a dispersive approach, we apply the inverse amplitude method to unitarize one-loop SU(2) and SU(3) chiral perturbation theory. Numerically, we find that this unitarization technique yields the correct complex analytic structure in terms of cuts and poles. Indeed, using the chiral parameter estimates obtained from low-energy experiments we obtain the poles associated with the {rho}(770) and K{sup {asterisk}}(982) resonances. Just by fixing their actual masses we obtain a parametrization of the {pi}{pi} and {pi}K phase shifts in eight different channels. With this fit we have then calculated several low-energy phenomenological parameters estimating their errors. Among others, we have obtained the chiral parameters and scattering lengths, which can be relevant for future experiments. {copyright} {ital 1997} {ital The American Physical Society}

• Research Organization: Lawrence Berkeley National Laboratory
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 538729
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 5 Vol. 56; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
AMPLITUDES
CHIRAL SYMMETRY
INVERSE SCATTERING PROBLEM
K*-892 MESONS
KAONS
NUMERICAL ANALYSIS
PERTURBATION THEORY
RHO-770 MESONS
SU-2 GROUPS
SU-3 GROUPS