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

Analysis on hadron spectra in heavy-ion collisions with a new non-extensive approach