The origin of light $0^{+}$ scalar resonances

Details The origin of light $0^{+}$ scalar resonances The origin of light $0^{+}$ scalar resonances

2010-07-13

arxiv.org/abs/1007.2072v2

Phys.Rev.D83:014010,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 12 figures, Revtex4-1. Significantly revised and expanded version. The main result not changed

Scientific paper

10.1103/PhysRevD.83.014010

We demonstrate how most of the light $J^{P}=0^{+}$ spectrum below $2.0\,\mathrm{GeV}$ and their decays can be consistently described by the unitarized quark model incorporating the chiral constraints of Adler zeros and taking SU(3) breaking effects into account. These resonances appear as poles in the complex $s$ plane in a unified picture as $q\bar{q}$ states strongly dressed by hadron loops. Through the large $N_c$ analysis, these resonances are found to naturally separate into two kinds: $\sigma, \kappa, f_0(980), a_0(980)$ are dynamically generated and run away from the real axis as $N_c$ increases, while the others move towards the $q\bar q $ seeds. In this picture, the line shape of $a_0(980)$ is produced by a broad pole below the $K\bar{K}$ threshold, and exhibits characteristics similar to the $\sigma$ and $\kappa$.

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