  The transverse momentum spectra of identified charged hadrons stemming from
high energy collisions at different beam energies are described by a new
non-extensive distribution, the Kaniadakis $\kappa$-distribution, with respect
to the constraints in non-extensive quantum statistics. All fittings are also
compared with the Tsallis distributions as well as the usual Boltzmann-Gibbs
one. $\chi^2/ndf$ is also used to test the fitting goodness of all functions.
Our results show that these different non-extensive approaches can be well
applied in high energy collisions rather than the classical one. The Kaniadakis
statistics is typically better applied into such systems with both positive and
negative particles considered. This provides an alternative non-extensive view
to study high energy physics. Analysis on the fitting parameters are present as
well. The similar relationships of all functions remind us of the further
understanding of the non-extensivity.
