Running of the spectral index in deformed matter bounce scenarios with Hubble-rate-dependent dark energy

As a deformed matter bounce scenario with a dark energy component, we propose a deformed one with running vacuum model (RVM) inwhich the dark energy density rho(Lambda) is written as a power series of H-2 and <(H)over dot > with a constant equation of state parameter, same as the cosmological constant, w = -1. Our results in analytical and numerical point of views show that in some cases same as Lambda CDM bounce scenario, although the spectral index may achieve a good consistency with observations, a positive value of running of spectral index (alpha(s)) is obtained which is not compatible with inflationary paradigm where it predicts a small negative value for alpha(s). However, by extending the power series up to H-4, rho(Lambda) = n(0) + n(2)H(2) + n(4)H(4), and estimating a set of consistent parameters, we obtain the spectral index n(s), a small negative value of running as and tensor to scalar ratio r, which these reveal a degeneracy between deformed matter bounce scenario with RVM-DE and inflationary cosmology.