https://doi.org/10.1140/epja/s10050-023-01170-w
Regular Article - Theoretical Physics
On the relation between the soft and hard parts of the transverse momentum distribution
1
Departamento de Física de Partículas and Instituto Galego de Física de Altas Enerxías, Universidad de Santiago de Compostela, 15782, Santiago de Compostela, Spain
2
Centro de Agroecología, Instituto de Ciencias, Benemérita Universidad Autónoma de Puebla, Apartado Postal 165, 72000, Puebla, Puebla, Mexico
b
jhony.ramirezcancino@viep.com.mx
Received:
2
June
2023
Accepted:
16
October
2023
Published online:
2
November
2023
Usually, the transverse momentum distribution is described by a sum of an exponential decay term plus a decreasing power like contribution representing the soft non-perturbative and hard perturbative QCD collisions, respectively. In this paper, we derive an analytical function that can describe the whole transverse momentum spectrum. This is obtained using a q-Gaussian distribution to describe the string tension fluctuations. The parameter q determines the departure of the thermal distribution as well as the minimum length that can be explored at high transverse momentum. We also show that the ratio between both scales only depends on the q parameter.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
