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Femtoscopy of the Origin of the Nucleon Mass

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Abstract

We study the prospects of using femtoscopic low-momentum correlation measurements at the Large Hadron Collider to access properties of the \(J/\psi \)-nucleon interaction. The QCD multipole expansion in terms of the \(J/\psi \) chromopolarizability relates the forward scattering amplitude to a key matrix element to the origin of the nucleon mass problem, the average chromoelectric gluon distribution in the nucleon. We use information on the \(J/\psi \)-nucleon interaction provided by lattice QCD simulations and phenomenological models to compute \(J/\psi \)-nucleon correlation functions. The computed correlation functions show clear sensitivity to the interaction, in particular to the \(J/\psi \) chromopolarizability.

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Notes

  1. The total momentum is \({{\varvec{P}}}= {{\varvec{p}}}_1 + {{\varvec{p}}}_2\) and the relative momentum is \({{\varvec{k}}}= (m_2 {{\varvec{p}}}_1 - m_1 {{\varvec{p}}}_2)/(m_1 + m_2)\), where \(m_1, m_2\) are the particles’ masses. In the center of mass frame, \({{\varvec{P}}}= 0\) and \({{\varvec{p}}}_1 = -{{\varvec{p}}}_2\); hence, the relative momentum is \({{\varvec{k}}}= {{\varvec{p}}}_1 = - {{\varvec{p}}}_2\).

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Acknowledgements

Enlightening and useful discussions with Johann Haidenbauer are gratefully acknowledged. G.K was partially supported by: Conselho Nacional de Desenvolvimento Científico e Tecnológico-CNPq, Grants No. Grant. nos. 309262/2019-4, 464898/2014-5 (INCT Física Nuclear e Aplicações), Fundação de Amparo à Pesquisa do Estado de São Paulo-FAPESP, Grant No. 2013/01907-0. T.C.P was supported by a scholarship from Conselho Nacional de Desenvolvimento Científico e Tecnológico-CNPq.

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  1. Instituto de Física Teórica, Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271 - Bloco II, São Paulo, SP, 01140-070, Brazil

    G. Krein & T. C. Peixoto

  2. Instituto Federal de Educação, Ciênciae Tecnologia de Sergipe, Rodovia Juscelino Kubitschek, s/n, Nossa Senhora da Glória, SE, 49680-000, Brazil

    T. C. Peixoto

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Krein, G., Peixoto, T.C. Femtoscopy of the Origin of the Nucleon Mass. Few-Body Syst 61, 49 (2020). https://doi.org/10.1007/s00601-020-01581-1

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