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The \({{\varvec{ppp}}}\) Correlation Function with a Screened Coulomb Potential

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Abstract

The correlation function is a useful tool to study the interaction between hadrons. The theoretical description of this observable requires the knowledge of the scattering wave function, whose asymptotic part is distorted when two or more particles are charged. For a system of three (or more) particles, with more than two particles asymptotically free and at least two of them charged, the asymptotic part of the wave function is not known in a closed form. In the present study we introduce a screened Coulomb potential and analyze the impact of the screening radius on the correlation function. As we will show, when a sufficiently large screening radius is used, the correlation function results almost unchanged if compared to the case in which the unscreened Coulomb potential is used. This fact allows the use of free asymptotic matching conditions in the solution of the scattering equation simplifying noticeably the calculation of the correlation function. As an illustration we discuss the pp and ppp correlation functions.

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Data Availability Statement

No datasets were generated or analysed during the current study.

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Acknowledgements

This work has been partially supported by: Grant PID2022-136992NB-I00 funded by MCIN/AEI/10.13039/501100011033 and by ERDF A way of making Europe.

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Authors and Affiliations

  1. Istituto Nazionale di Fisica Nucleare, Largo Pontecorvo 3, 56127, Pisa, Italy

    A. Kievsky & M. Viviani

  2. Instituto de Estructura de la Materia, IEM-CSIC, Serrano 123, 28006, Madrid, Spain

    E. Garrido

  3. CNRS, Institut de Physique de Nice, Université Côte d’Azur, 17 Rue Julien Lauprêtre, 06200, Nice, France

    M. Gattobigio

Authors
  1. A. Kievsky
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  2. E. Garrido
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  3. M. Viviani
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  4. M. Gattobigio
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Contributions

A.K. and E.G. wrote the main manuscript text and prepared the figures, all authors reviewed the manuscript.

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Correspondence to A. Kievsky.

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Kievsky, A., Garrido, E., Viviani, M. et al. The \({{\varvec{ppp}}}\) Correlation Function with a Screened Coulomb Potential. Few-Body Syst 65, 23 (2024). https://doi.org/10.1007/s00601-024-01893-6

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  • DOI: https://doi.org/10.1007/s00601-024-01893-6

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