Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new method to study the number of colors in the final-state
  interactions of hadrons   We match the $\pi\pi\to\pi\pi$ scattering amplitudes of Chiral Perturbation
Theory with those from dispersion relations that respect analyticity and
coupled channel unitarity, as well as accurately describing experiment. Their
dependence on the number of colors ($N_C$) is obtained. By varying $N_C$ the
trajectories of the poles and residues (the couplings to $\pi\pi$) of light
mesons, the $\sigma$, $f_0(980)$, $\rho(770)$ and $f_2(1270)$ are investigated.
Our results show that the method proposed is a reliable way to study the $N_C$
dependence in hadron-hadron scattering with final-state interactions.

3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys