Transposition of a local-density-dependent pion-nucleus potential to an effective density-linear potential - generalized Seki-Masutani relations

Yamazaki, Toshimitsu; Hirenzaki, Satoru

Transposition of a local-density-dependent pion-nucleus potential to an effective density-linear potential - generalized Seki-Masutani relations

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Description

We have shown that a local-density-dependent term, $F[ρ(r)] ρ(r)$, of the pion-nucleus potential with a nuclear density, $ρ(r)$, can be transposed to a conventional density-linear term, $F(ρ_e) ρ(r)$, with an effective nuclear density, $ρ_e$, which is close to $\sim 0.6 ρ(0)$ for most $π^-$ bound states. The presently found relations, {\it generalized Seki-Masutani relations}, for the density-quadratic term, the medium-modified isovector term and the double-scattering isoscalar term of the s-wave pion-nucleus interaction assure that the constant parameters in the conventional pion-nucleus potential are interpreted as being effective ones in the light of density-dependent effects.
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