1993/07/31 by Y. Koike · 3 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevc.51.1488
published as Phys.Rev.C51:1488-1493,1995 · Latex file. 12 pages. One figure not modified. More expanded discussion which clarify the origin of the discrepancy with Hatsuda-Lee is added. Phys.Rev.C in press
arxiv created 1994/12/21 · openalex publication_date 1995/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The QCD sum rule method is applied to derive a formula for the \ensuremathρ, \ensuremathω, and \ensuremathφ meson-nucleon spin-isospin--averaged scattering lengths a_\mathrm\ensuremathρ,\mathrm\ensuremathω,\mathrm\ensuremathφ. We found that the crucial matrix elements are 〈q\ifmmode\else\textasciimacron\fi\ensuremathγ_\mathrm\ensuremathμD_\ensuremathνq〉N (q=ud) (twist-2 nucleon matrix element) for a_\mathrm\ensuremathρ,\mathrm\ensuremathω and ms〈s\ifmmode\else\textasciimacron\fis〉N for a_\mathrm\ensuremathφ, and obtained a_\mathrm\ensuremathρ=0.14\ifmmode±\else\textpm\fi0.07 fm, a_\mathrm\ensuremathω=0.11\ifmmode±\else\textpm\fi0.06 fm, and a_\mathrm\ensuremathφ=0.035\ifmmode±\else\textpm\fi0.020 fm. These small numbers originate from a common factor 1/(mN+m_\mathrm\ensuremathρ,\mathrm\ensuremathω,\mathrm\ensuremathφ). Our result suggests a slight increase (60 MeV for \ensuremathρ and \ensuremathω, and 15 MeV for \ensuremathφ) of the effective mass of these vector mesons in nuclear matter (in the dilute nucleon-gas approximation). The origin of the discrepancy with Hatsuda-Lee was clarified.