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, ${\mathit{m}}_{\mathrm{\ensuremath{\sigma}}}^{\mathrm{*}}$/${\mathit{m}}_{\mathrm{\ensuremath{\sigma}}}$\ensuremath{\approxeq}${\mathit{m}}_{\mathrm{N}}^{\mathrm{*}}$/${\mathit{m}}_{\mathrm{N}}$ \ensuremath{\approxeq}${\mathit{m}}_{\mathrm{\ensuremath{\rho}}}^{\mathrm{*}}$/${\mathit{m}}_{\mathrm{\ensuremath{\rho}}}$\ensuremath{\approxeq}${\mathit{m}}_{\mathrm{\ensuremath{\omega}}}^{\mathrm{*}}$/${\mathit{m}}_{\mathrm{\ensuremath{\omega}}}$\ensuremath{\approxeq}${\mathit{f}}_{\mathrm{\ensuremath{\pi}}}^{\mathrm{*}}$/${\mathit{f}}_{\mathrm{\ensuremath{\pi}}}$. This has a highly nontrivial implication for nuclear processes at and above nuclear-matter density. Some concrete cases are cited in this paper.