2000/05/31 by Abhee K. Dutt-Mazumder, Ralf Hofmann, Maxim Pospelov · 1 citation
Mathematics · Physics and Astronomy · #Algorithm #High-Energy Particle Collisions Research #Mathematics #Mixing (physics) #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #hep-ph
paper · pdf · doi:10.1103/physrevc.63.015204
published as Phys.Rev. C63 (2001) 015204 · 8 pages, Revtex
arxiv created 2000/08/08 · openalex publication_date 2000/12/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We evaluate the operator product expansion (OPE) for a mixed correlator of the isovector and isoscalar vector currents in the background of the nucleon density with intrinsic isospin asymmetry (i.e., excess of neutrons over protons) and match it with its imaginary part, given by resonances and continuum, via the dispersion relation. The leading density-dependent contribution to \ensuremathρ\ensuremath-\ensuremathω mixing is due to the scattering term, which turns out to be larger than any density dependent piece in the OPE. We estimate that the asymmetric density of nn\ensuremath-np\ensuremath∼2.5\ifmmode×\else\texttimes\fi10^\ensuremath-2fm^\ensuremath-3 induces the amplitude of \ensuremathρ\ensuremath-\ensuremathω mixing, equal in magnitude to the mixing amplitude in vacuum, with the constructive interference for positive and destructive for negative values of nn\ensuremath-np. We revisit sum rules for vector meson masses at finite nucleon density to point out the numerical importance of the screening term in the isoscalar channel, which turns out to be one order of magnitude larger than any density-dependent condensates over the Borel window. This changes the conclusions about the density dependence of m_\ensuremathω, indicating \ensuremath∼40MeV increase at nuclear saturation density.