Semi-inclusive triple differential multiplicity distributions of posit
ively charged kaons have been measured over a wide range in rapidity a
nd transverse mass for central collisions of Ni-58 With Ni-58 nuclei.
The transverse mass (m(t)) spectra have been studied as a function of
rapidity at a beam energy 1.93 A GeV. The m(t) distributions of K+ mes
ons are well described by a single Boltzmann-type function. The spectr
al slopes are similar to that of the protons indicating that rescatter
ing plays a significant role in the propagation of the kaon. Multiplic
ity densities have been obtained as a function of rapidity by extrapol
ating the Boltzmann-type fits to the measured distributions over the r
emaining phase space. The total K+ meson yield has been determined at
beam energies of 1.06, 1.45, and 1.93 A GeV, and is presented in compa
rison to existing data. The low total yield indicates that the K+ meso
n can not be explained within a hadro-chemical equilibrium scenario, t
herefore indicating that the yield does remain sensitive to effects re
lated to its production processes such as the equation of state of nuc
lear matter and/or modifications to the K+ dispersion relation. (C) 19
97 Elsevier Science B.V.