منابع مشابه
The inverse amplitude method in Chiral Perturbation Theory
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 ρ(770) and...
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We report on our present work, where by means of the Inverse Amplitude Method we unitarize the elastic pion nucleon scattering amplitudes of Heavy Barion Chiral Perturbation Theory at O(q 3). We reproduce the scattering up to the inelastic thresholds including the ∆(1232) resonance. The fitted chiral constants are rather different from those obtained by fitting the extrapolated threshold parame...
متن کاملThe Inverse Amplitude Method in ππ Scattering in Chiral Perturbation Theory to Two Loops
The inverse amplitude method is used to unitarize the two loop ππ scattering amplitudes of SU(2) Chiral Perturbation Theory in the I = 0, J = 0, I = 1, J = 1 and I = 2, J = 0 channels. An error analysis in terms of the low energy one-loop parameters l̄1,2,3,4, and existing experimental data is undertaken. A comparison to standard resonance saturation values for the two loop coefficients b̄1,2,3,4...
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The inverse amplitude method is used to unitarize the two-loop pp scattering amplitudes of SU~2! chiral perturbation theory in the I50,J50,I51,J51, and I52,J50 channels. An error analysis in terms of the low energy one-loop parameters l̄ 1,2,3,4 and existing experimental data is undertaken. A comparison to standard resonance saturation values for the two-loop coefficients b̄1,2,3,4,5,6 is also ca...
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Two-norm normalized inverse, shifted inverse, and Rayleigh quotient iteration are well-known algorithms for approximating an eigenvector of a symmetric matrix. In this work we establish rigorously that each one of these three algorithms can be viewed as a standard form of Newton’s method from the nonlinear programming literature, followed by the normalization. This equivalence adds considerable...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1963
ISSN: 0033-068X
DOI: 10.1143/ptp.29.322