Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-04-14
Phys.Rev.D84:034005,2011
Physics
High Energy Physics
High Energy Physics - Phenomenology
50 pages, 15 figures, 1 table. Enlarged version with more detail comparisons with previous results in the literature. To match
Scientific paper
10.1103/PhysRevD.84.034005
In this work, the complete one loop calculation of meson-meson scattering amplitudes within U(3)\otimes U(3) chiral perturbation theory with explicit resonance states is carried out for the first time. Partial waves are unitarized from the perturbative calculation employing a non-perturbative approach based on the N/D method. Once experimental data are reproduced in a satisfactory way we then study the resonance properties, such as the pole positions, corresponding residues and their N_C behaviors. The resulting N_C dependence is the first one in the literature that takes into account the fact that the \eta_1 becomes the ninth Goldstone boson in the chiral limit for large N_C. Within this scheme the vector resonances studied, \rho(770), K^*(892) and \phi(1020), follow an N_C trajectory in agreement with their standard \bar{q}q interpretation. The scalars f_0(1370), a_0(1450) and K^*(1430) also have for large N_C a \bar{q}q pole position trajectory and all of them tend to a bare octet of scalar resonances around 1.4 GeV. The f_0(980) tends asymptotically to the bare pole position of a singlet scalar resonance around 1 GeV. The \sigma, \kappa and a_0(980) scalar resonances have a very different N_C behavior. The case of the \sigma resonance is analyzed with special detail.
Guo Zhi-Hui
Oller Jose Antonio
No associations
LandOfFree
Resonances from meson-meson scattering in U(3) CHPT does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Resonances from meson-meson scattering in U(3) CHPT, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Resonances from meson-meson scattering in U(3) CHPT will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-167397