Measurement of charged particle multiplicity distributions in DIS at HERA and its implication to entanglement entropy of partons

V. Andreev; A. Baghdasaryan; A. Baty; K. Begzsuren; A. Belousov; A. Bolz; V. Boudry; G. Brandt; D. Britzger; A. Buniatyan; L. Bystritskaya; A. J. Campbell; K. B. Cantun Avila; K. Cerny; V. Chekelian; Z. Chen; J. G. Contreras; J. Cvach; J. B. Dainton; K. Daum; A. Deshpande; C. Diaconu; G. Eckerlin; S. Egli; E. Elsen; L. Favart; A. Fedotov; J. Feltesse; M. Fleischer; A. Fomenko; C. Gal; J. Gayler; L. Goerlich; N. Gogitidze; M. Gouzevitch; C. Grab; A. Grebenyuk; T. Greenshaw; G. Grindhammer; D. Haidt; R. C. W. Henderson; J. Hladkỳ; D. Hoffmann; R. Horisberger; T. Hreus; F. Huber; M. Jacquet; X. Janssen; A. W. Jung; H. Jung; M. Kapichine; J. Katzy; C. Kiesling; M. Klein; C. Kleinwort; R. Kogler; P. Kostka; J. Kretzschmar; D. Krücker; K. Krüger; M. P. J. Landon; W. Lange; P. Laycock; A. Lebedev; S. Levonian; K. Lipka; B. List; J. List; W. Li; B. Lobodzinski; E. Malinovski; H.-U. Martyn; S. J. Maxfield; A. Mehta; A. B. Meyer; H. Meyer; J. Meyer; S. Mikocki; M. M. Mondal; A. Morozov; K. Müller; Th. Naumann; P. R. Newman; C. Niebuhr; G. Nowak; J. E. Olsson; D. Ozerov; S. Park; C. Pascaud; G. D. Patel; E. Perez; A. Petrukhin; I. Picuric; D. Pitzl; R. Polifka; V. Radescu; N. Raicevic; T. Ravdandorj; P. Reimer; E. Rizvi; P. Robmann; R. Roosen; A. Rostovtsev; M. Rotaru; D. P. C. Sankey; M. Sauter; E. Sauvan; S. Schmitt; B. A. Schmookler; L. Schoeffel; A. Schöning; F. Sefkow; S. Shushkevich; Y. Soloviev; P. Sopicki; D. South; V. Spaskov; A. Specka; M. Steder; B. Stella; U. Straumann; T. Sykora; P. D. Thompson; D. Traynor; P. Truöl; B. Tseepeldorj; Z. Tu; T. Ullrich; A. Valkárová; C. Vallée; P. Van Mechelen; D. Wegener; E. Wünsch; J. Žáček; J. Zhang; Z. Zhang; R. Žlebčík; H. Zohrabyan; F. Zomer

doi:10.1140/epjc/s10052-021-08896-1

2022 Impact factor 4.4

Particles and Fields

Open Access

Eur. Phys. J. C (2021) 81: 212
https://doi.org/10.1140/epjc/s10052-021-08896-1

Regular Article - Experimental Physics

H1 Collaboration

V. Andreev¹⁹, A. Baghdasaryan³⁰, A. Baty⁴⁵, K. Begzsuren²⁷, A. Belousov¹⁹, A. Bolz¹², V. Boudry²², G. Brandt⁴⁰, D. Britzger²⁰, A. Buniatyan², L. Bystritskaya¹⁸, A. J. Campbell¹⁰, K. B. Cantun Avila¹⁷, K. Cerny³⁶, V. Chekelian²⁰, Z. Chen⁴⁶, J. G. Contreras¹⁷, J. Cvach²⁴, J. B. Dainton¹⁴, K. Daum²⁹, A. Deshpande⁴⁷, C. Diaconu¹⁶, G. Eckerlin¹⁰, S. Egli²⁸, E. Elsen³⁷, L. Favart³, A. Fedotov¹⁸, J. Feltesse⁹, M. Fleischer¹⁰, A. Fomenko¹⁹, C. Gal⁴⁷, J. Gayler¹⁰, L. Goerlich⁶, N. Gogitidze¹⁹, M. Gouzevitch³⁴, C. Grab³², A. Grebenyuk³, T. Greenshaw¹⁴, G. Grindhammer²⁰, D. Haidt¹⁰, R. C. W. Henderson¹³, J. Hladkỳ²⁴, D. Hoffmann¹⁶, R. Horisberger²⁸, T. Hreus³, F. Huber¹², M. Jacquet²¹, X. Janssen³, A. W. Jung⁴³, H. Jung¹⁰, M. Kapichine⁸, J. Katzy¹⁰, C. Kiesling²⁰, M. Klein¹⁴, C. Kleinwort¹⁰, R. Kogler¹¹, P. Kostka¹⁴, J. Kretzschmar¹⁴, D. Krücker¹⁰, K. Krüger¹⁰, M. P. J. Landon¹⁵, W. Lange³¹, P. Laycock¹⁴, A. Lebedev¹⁹, S. Levonian¹⁰, K. Lipka¹⁰, B. List¹⁰, J. List¹⁰, W. Li⁴⁵, B. Lobodzinski²⁰, E. Malinovski¹⁹, H.-U. Martyn¹, S. J. Maxfield¹⁴, A. Mehta¹⁴, A. B. Meyer¹⁰, H. Meyer²⁹, J. Meyer¹⁰, S. Mikocki⁶, M. M. Mondal⁴⁷, A. Morozov⁸, K. Müller³³, Th. Naumann³¹, P. R. Newman², C. Niebuhr¹⁰, G. Nowak⁶, J. E. Olsson¹⁰, D. Ozerov²⁸, S. Park⁴⁷, C. Pascaud²¹, G. D. Patel¹⁴, E. Perez³⁷, A. Petrukhin³⁴, I. Picuric²³, D. Pitzl¹⁰, R. Polifka²⁵, V. Radescu⁴⁴, N. Raicevic²³, T. Ravdandorj²⁷, P. Reimer²⁴, E. Rizvi¹⁵, P. Robmann³³, R. Roosen³, A. Rostovtsev⁴¹, M. Rotaru⁴, D. P. C. Sankey⁵, M. Sauter¹², E. Sauvan¹⁶^,39, S. Schmitt¹⁰^ds, B. A. Schmookler⁴⁷, L. Schoeffel⁹, A. Schöning¹², F. Sefkow¹⁰, S. Shushkevich³⁵, Y. Soloviev¹⁹, P. Sopicki⁶, D. South¹⁰, V. Spaskov⁸, A. Specka²², M. Steder¹⁰, B. Stella²⁶, U. Straumann³³, T. Sykora²⁵, P. D. Thompson², D. Traynor¹⁵, P. Truöl³³, B. Tseepeldorj²⁷^,38, Z. Tu⁴², T. Ullrich⁴², A. Valkárová²⁵, C. Vallée¹⁶, P. Van Mechelen³, D. Wegener⁷, E. Wünsch¹⁰, J. Žáček²⁵, J. Zhang⁴⁷, Z. Zhang²¹, R. Žlebčík¹⁰, H. Zohrabyan³⁰ and F. Zomer²¹

¹ I. Physikalisches Institut der RWTH, Aachen, Germany
² School of Physics and Astronomy, University of Birmingham, Birmingham, UK
³ Inter-University Institute for High Energies ULB-VUB, Brussels and Universiteit Antwerpen, Antwerp, Belgium
⁴ Horia Hulubei National Institute for R&D in Physics and Nuclear Engineering (IFIN-HH), Bucharest, Romania
⁵ STFC, Rutherford Appleton Laboratory, Didcot, Oxfordshire, UK
⁶ Institute of Nuclear Physics Polish Academy of Sciences, 31342, Kraków, Poland
⁷ Institut für Physik, TU Dortmund, Dortmund, Germany
⁸ Joint Institute for Nuclear Research, Dubna, Russia
⁹ Irfu/SPP, CE Saclay, Gif-sur-Yvette, France
¹⁰ DESY, Hamburg, Germany
¹¹ Institut für Experimentalphysik, Universität Hamburg, Hamburg, Germany
¹² Physikalisches Institut, Universität Heidelberg, Heidelberg, Germany
¹³ Department of Physics, University of Lancaster, Lancaster, UK
¹⁴ Department of Physics, University of Liverpool, Liverpool, UK
¹⁵ School of Physics and Astronomy, Queen Mary, University of London, London, UK
¹⁶ Aix Marseille Université, CNRS/IN2P3, CPPM UMR 7346, 13288, Marseille, France
¹⁷ Departamento de Fisica Aplicada, CINVESTAV, Mérida, Yucatán, Mexico
¹⁸ Institute for Theoretical and Experimental Physics, Moscow, Russia
¹⁹ Lebedev Physical Institute, Moscow, Russia
²⁰ Max-Planck-Institut für Physik, Munich, Germany
²¹ LAL, Université Paris-Sud, CNRS/IN2P3, Orsay, France
²² LLR, Ecole Polytechnique, CNRS/IN2P3, Palaiseau, France
²³ Faculty of Science, University of Montenegro, Podgorica, Montenegro
²⁴ Institute of Physics, Academy of Sciences of the Czech Republic, Praha, Czech Republic
²⁵ Faculty of Mathematics and Physics, Charles University, Praha, Czech Republic
²⁶ Dipartimento di Fisica, Università di Roma Tre and INFN Roma 3, Rome, Italy
²⁷ Institute of Physics and Technology of the Mongolian Academy of Sciences, Ulaanbaatar, Mongolia
²⁸ Paul Scherrer Institut, Villigen, Switzerland
²⁹ Fachbereich C, Universität Wuppertal, Wuppertal, Germany
³⁰ Yerevan Physics Institute, Yerevan, Armenia
³¹ DESY, Zeuthen, Germany
³² Institut für Teilchenphysik, ETH, Zurich, Switzerland
³³ Physik-Institut der Universität Zürich, Zurich, Switzerland
³⁴ Université Claude Bernard Lyon 1, CNRS/IN2P3, Villeurbanne, France
³⁵ Now at Lomonosov Moscow State University, Skobeltsyn Institute of Nuclear Physics, Moscow, Russia
³⁶ Palackỳ University Olomouc, Olomouc, Czech Republic
³⁷ Now at CERN, Geneva, Switzerland
³⁸ Also at Ulaanbaatar University, Ulaanbaatar, Mongolia
³⁹ Also at LAPP, Université de Savoie, CNRS/IN2P3, Annecy-le-Vieux, France
⁴⁰ II. Physikalisches Institut, Universität Göttingen, Göttingen, Germany
⁴¹ Now at Institute for Information Transmission Problems RAS, Moscow, Russia
⁴² Brookhaven National Laboratory, Upton, New York, 11973, USA
⁴³ Department of Physics and Astronomy, Purdue University, 525 Northwestern Ave, 47907, West Lafayette, IN, USA
⁴⁴ Department of Physics, Oxford University, Oxford, UK
⁴⁵ Rice University, Houston, USA
⁴⁶ Shandong University, Shandong, People’s Republic of China
⁴⁷ Stony Brook University, 11794, Stony Brook, NY, USA

^ds sschmitt@mail.desy.de

Received: 4 November 2020
Accepted: 20 January 2021
Published online: 3 March 2021

Abstract

Charged particle multiplicity distributions in positron-proton deep inelastic scattering at a centre-of-mass energy GeV are measured. The data are collected with the H1 detector at HERA corresponding to an integrated luminosity of 136 pb. Charged particle multiplicities are measured as a function of photon virtuality , inelasticity y and pseudorapidity in the laboratory and the hadronic centre-of-mass frames. Predictions from different Monte Carlo models are compared to the data. The first and second moments of the multiplicity distributions are determined and the KNO scaling behaviour is investigated. The multiplicity distributions as a function of and the Bjorken variable are converted to the hadron entropy , and predictions from a quantum entanglement model are tested.

© The Author(s) 2021

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.