Pole analysis on unitarized $SU(3)\times SU(3)$ one loop $χ$PT amplitudes

Details Pole analysis on unitarized $SU(3)\times SU(3)$ one loop $χ$PT amplitudes Pole analysis on unitarized $SU(3)\times SU(3)$ one loop $χ$PT amplitudes

2011-08-06

arxiv.org/abs/1108.1451v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages

Scientific paper

We analyze $\pi\pi-K\bar{K}$ and $\pi\eta-K\bar{K}$ couple channel [1,1] matrix Pad\'e amplitudes of $SU(3)\times SU(3)$ chiral perturbation theory. By fitting phase shift and inelasticity data, we determine pole positions in different channels ($f_0(980)$, $a_0(980)$,$f_0(600)$, $K_0^*(800)$, $K^*(892)$, $\rho(770)$) and trace their $N_c$ trajectories. We stress that a couple channel Breit--Wigner resonance should exhibit two poles on different Riemann sheets and meet each other on the real axis when $N_c=\infty$. Poles are hence classified using this criteria and we conclude that $K^*(892)$ and $\rho(770)$ are unambiguous Breit--Wigner resonances. For scalars the situation is much less clear. We find that $f_0(980)$ is a molecular state rather than a Breit--Wigner resonance, while $a_0(980)$, though behaves oddly when varying $N_c$, does maintain a twin pole structure.

Affiliated with

Also associated with

No associations

Rating

Pole analysis on unitarized $SU(3)\times SU(3)$ one loop $χ$PT amplitudes 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 Pole analysis on unitarized $SU(3)\times SU(3)$ one loop $χ$PT amplitudes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pole analysis on unitarized $SU(3)\times SU(3)$ one loop $χ$PT amplitudes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1393