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On the relation between the soft and hard parts of the transverse momentum distribution

  • Regular Article - Theoretical Physics
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Abstract

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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Data Availability Statement

This manuscript has no associated data or the data will not be deposited [Authors’ comment: The analyzed data was previously published in Refs. [14, 41–45].]

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Acknowledgements

We thank X. Feal and R. A. Vázquez, who participated in the early stages of this study. C. P. thanks the grant Maria de Maeztu Unit of Excellence under the project MDM-2016 0682 of the Ministry of Science and Innovation of Spain. This work has been funded by the projects PID2020-119632GB-100 of the Spanish Research Agency, Centro Singular de Galicia 2019–2022 of Xunta de Galicia, and the ERDF of the European Union. J.E.R. acknowledges financial support from Consejo Nacional de Humanidades, Ciencias y Tecnologías under a postdoctoral fellowship (grant number 289198).

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Authors and Affiliations

  1. Departamento de Física de Partículas and Instituto Galego de Física de Altas Enerxías, Universidad de Santiago de Compostela, 15782, Santiago de Compostela, Spain

    C. Pajares

  2. Centro de Agroecología, Instituto de Ciencias, Benemérita Universidad Autónoma de Puebla, Apartado Postal 165, 72000, Puebla, Puebla, Mexico

    J. E. Ramírez

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  1. C. Pajares
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Correspondence to J. E. Ramírez.

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Communicated by Tamas Biro.

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Pajares, C., Ramírez, J.E. On the relation between the soft and hard parts of the transverse momentum distribution. Eur. Phys. J. A 59, 250 (2023). https://doi.org/10.1140/epja/s10050-023-01170-w

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