The correlation parameters describing the simultaneous n ~ and charged particle production in the 5--205 GeV/c n-p collisions are studied. The linear dependence of the associated n ~ average multiplicity (no) ._ on the negative particle multiplicity n_ in momentum range under consideration is observed. The new n-p data indicate that the correlations between n ~ and charged particles do not depend on the initial state particles. The energy dependence of the correlation integrals f2 -and fo -has been analyzed.The semi-inclusive n ~ production cross sections an(n ~ are analyzed in the framework of the KNO-like scaling relation. The similarity of the (n)~,,(n~ distributions in the 5--205 GeV/c momentum region is observed. The scale transformation allowing the universal description of all the available n-p data on the n o yields is suggested.