2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/206243We compute free energy of quark matter at asymptotically high baryon number density in the presence of non zero strange quark mass including dynamics of pseudo Nambu-Goldstone bosons due to chiral symmetry breaking, extending previously existing analysis based on perturbative expansion in $m_s^2/4μΔ.$ We demonstrate that the CFL$K^0$ state has lower free energy than the symmetric CFL state for $0<m_s^2/4μΔ<2/3$. We also calculate the spectrum of the fermionic quasiparticle excitations about the kaon condensed ground state in the regime $m_s^2/4μΔ\sim 1$ and find that $(m_s^2/4μΔ)_{crit}=2/3$ for the CFL-gCFL phase transition, the leading order result reported in [1], is not modified.16 pages, 3 figuresHigh Energy Physics - PhenomenologyNuclear Theorytext