Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1993-07-20
Phys.Rev.C51:1488-1493,1995
Physics
High Energy Physics
High Energy Physics - Phenomenology
Latex file. 12 pages. One figure not modified. More expanded discussion which clarify the origin of the discrepancy with Hatsu
Scientific paper
10.1103/PhysRevC.51.1488
The QCD sum rule method is applied to derive a formula for the rho, omega, phi meson-nucleon spin-isospin-averaged scattering lengths $a_{\rho,\omega,\phi}$. We found that the crucial matrix elements are $\langle\bar{q}\gamma_\mu D_\nu q\rangle_N$ ($q=u,d$) (twist-2 nucleon matrix element) for $a_{\rho,\omega}$ and $m_s\langle\bar{s}s\rangle_N$ for $a_\phi$, and obtained $a_\rho =0.14\pm 0.07$ fm, $a_\omega =0.11\pm 0.06$ fm and $a_\phi =0.035\pm 0.020$ fm. These small numbers originate from a common factor $1/(m_N+m_{\rho,\omega,\phi})$. Our result suggests a slight increase ($< 60$ MeV for $\rho$, $\omega$, and $<15$ MeV for $\phi$) of the effective mass of these vector mesons in the nuclear matter (in the {\it dilute} nucleon gas approximation). The origin of the discrepancy with the previous study was clarified.
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