Comparative analysis of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>C</mml:mi></mml:math> moments using different phenomenological models

Analysis of normalized <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>C</a:mi></a:math> moments of multiplicity distribution calculated from the different phenomenological models, the Bialas-Praszalowics (BP) model, modified negative binomial and the superposed shifted Gompertz distribution at different center of mass (cms) energies is presented. The analysis covers a range of energies (200–900 GeV) of <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mover accent="true"><c:mi>p</c:mi><c:mo stretchy="false">¯</c:mo></c:mover><c:mi>p</c:mi></c:math> collisions in restricted phase space slices. A comparison of different models to the experimental data on charged particle multiplicity spectra from the <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mover accent="true"><g:mi>p</g:mi><g:mo stretchy="false">¯</g:mo></g:mover><g:mi>p</g:mi></g:math> annihilation in five pseudorapidity windows is reported. The comparison shows that the two approaches other than the BP model are in better agreement to the data. Results on variation of moments with pseudorapidity window size and with center of mass energy and observations from such a study in <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:mover accent="true"><k:mi>p</k:mi><k:mo stretchy="false">¯</k:mo></k:mover><k:mi>p</k:mi></k:math> annihilation and <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:mi>p</o:mi><o:mi>p</o:mi></o:math> interactions at the same center-of-mass energy are also presented. Published by the American Physical Society 2024