2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/197675QCD sum rules predict that the change of the strange quark condensate $<\bar s s>$ in hadron matter at finite baryon density causes a shift of the peak position of the di-electron spectra from $ϕ$ meson decays. Due to the expansion of hadron matter in heavy-ion collisions, the $ϕ$ peak suffers a smearing governed by the interval of density in the expanding fireball, which appears as effective broadening of the di-electron spectrum in the $ϕ$ region. The emerging broadening is sensitive to the in-medium change of $<\bar s s>$. This allows to probe directly in-medium modifications of $<\bar s s>$ via di-electron spectra in heavy-ion collisions at SIS energies with HADES.Nuclear TheoryProbing the strange quark condensate by di-electrons from phi meson decays in heavy-ion collisions at SIS energiestext