Unitarized pion–nucleon scattering amplitude from inverse amplitude method
نویسندگان
چکیده
منابع مشابه
The 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...
متن کاملInverse amplitude method in pp scattering in chiral perturbation theory to two loops
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...
متن کاملThe 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...
متن کاملThe pion-pion scattering amplitude
We obtain reliable ππ scattering amplitudes consistent with experimental data, both at low and high energies, and fulfilling appropriate analyticity properties. We do this by first fitting experimental low energy (s ≤ 1.42GeV) phase shifts and inelasticities with expressions that incorporate analyticity and unitarity. In particular, for the S wave with isospin 0, we discuss in detail several se...
متن کاملApproximation of the scattering amplitude
The simultaneous solution of Ax = b and A y = g is required in a number of situations . Darmofal and Lu have proposed a method based on the Quasi-Minimal residual algorithm (qmr ). We will introduce a technique for the same purpose based on the lsqr method and show how its performance can be improved when using the Generalized lsqr method. We further show how preconditioners can be introduced t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nuclear Physics A
سال: 2003
ISSN: 0375-9474
DOI: 10.1016/s0375-9474(03)00669-9