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Results for the frequencies of zero-sound excitations in the isospinasymmetric nuclear matter are presented for the different parameters ofasymmetry -1\leq\beta\leq 1. The dispersion equations are constructed withinthe random phase approximation. We use the effective Landau-Migdalquasiparticle interaction with the special isospin dependence of the phasevolume in the normalization factor C_0. In the paper we present zero-soundbranches of the dispersion equation solutions in the symmetric, asymmetric andneutron matter. The branches correspond to the different channels of decay ofthe zero-sound excitation in the nuclear matter or nuclei. In the asymmetricnuclear matter we obtain three branches of solutions on the physical andunphysical sheets of the complex frequency plane, \omega_{s\,\tau}(k,\beta),\tau=p,n,np. We demonstrate the change of branches with \beta and conversion ofthe three branches into two branches in symmetric nuclear matter (\beta=0) andinto one branch in the neutron matter (\beta=1).

Zero-sound in nuclear matter with the asymmetry parameter $-1\leq \beta\leq 1$