Scaling effective Lagrangians in a dense medium

Abstract

By using effective chiral Lagrangians with a suitable incorporation of the scaling property of QCD, we establish the approximate in-medium scaling law, ${\mathit{m}}_{\mathrm{\sigma }}^{\mathrm{*}}$/${\mathit{m}}_{\mathrm{\sigma }}$≊${\mathit{m}}_{\mathrm{N}}^{\mathrm{*}}$/${\mathit{m}}_{\mathrm{N}}$ ≊${\mathit{m}}_{\mathrm{\rho }}^{\mathrm{*}}$/${\mathit{m}}_{\mathrm{\rho }}$≊${\mathit{m}}_{\mathrm{\omega }}^{\mathrm{*}}$/${\mathit{m}}_{\mathrm{\omega }}$≊${\mathit{f}}_{\mathrm{\pi }}^{\mathrm{*}}$/${\mathit{f}}_{\mathrm{\pi }}$. This has a highly nontrivial implication for nuclear processes at and above nuclear-matter density. Some concrete cases are cited in this paper.