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Scaling effective Lagrangians in a dense medium

G.E. BrownDepartment of Physics, State University of New York at Stony Brook, Stony Brook, New York 11794Mannque RhoDepartment of Physics, State University of New York at Stony Brook, Stony Brook, New York 11794
1991en
ABI

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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.

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