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Hard-Core Radius of Nucleons within the Induced Surface Tension Approach

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Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine, 03680 Kiev, Ukraine
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Department of Physics, Taras Shevchenko National University of Kiev, 03022 Kiev, Ukraine
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Department of Fundamental Physics, University of Salamanca, 37008 Plaza de la Merced s/n, Spain
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CFisUC, Department of Physics, University of Coimbra, 3004-516 Coimbra, Portugal
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Centro de Astrofísica e Gravitação - CENTRA, Departamento de Física, Instituto Superior Técnico, Universidade de Lisboa, 1049-001 Lisboa, Portugal
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Laboratory for Information Technologies, Joint Institute for Nuclear Research, 141980 Dubna, Russia
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Department of Physics, University of Oslo, PB 1048 Blindern, N-0316 Oslo, Norway
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Skobeltzyn Institute of Nuclear Physics, Moscow State University, 119899 Moscow, Russia
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National Research Nuclear University “MEPhI” (Moscow Engineering Physics Institute), 115409 Moscow, Russia
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Institute of Theoretical Physics, University of Wroclaw, pl. M. Borna 9, 50-204 Wroclaw, Poland
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Bogoliubov Laboratory of Theoretical Physics, JINR Dubna, Joliot-Curie str. 6, 141980 Dubna, Russia
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Author to whom correspondence should be addressed.
This paper is based on the talk at the 7th International Conference on New Frontiers in Physics (ICNFP 2018), Crete, Greece, 4–12 July 2018.
Universe 2019, 5(2), 63; https://doi.org/10.3390/universe5020063
Received: 7 November 2018 / Revised: 13 December 2018 / Accepted: 1 February 2019 / Published: 17 February 2019
We review the recent approach to model the hadronic and nuclear matter equations of state using the induced surface tension concept, which allows one to go far beyond the usual Van der Waals approximation. Since the obtained equations of state, classical and quantum, are among the most successful ones in describing the properties of low density phases of strongly interacting matter, they set strong restrictions on the possible value of the hard-core radius of nucleons, which is widely used in phenomenological equations of state. We summarize the latest results obtained within this novel approach and perform a new detailed analysis of the hard-core radius of nucleons, which follows from hadronic and nuclear matter properties. Such an analysis allows us to find the most trustworthy range of its values: the hard-core radius of nucleons is 0.3–0.36 fm. A comparison with the phenomenology of neutron stars implies that the hard-core radius of nucleons has to be temperature and density dependent. Such a finding is supported when the eigenvolume of composite particles like hadrons originates from their fermionic substructure due to the Pauli blocking effect. View Full-Text
Keywords: quark-hadron phase transition; excluded hadron volume; chemical freeze-out; neutron star matter quark-hadron phase transition; excluded hadron volume; chemical freeze-out; neutron star matter
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Bugaev, K.A.; Ivanytskyi, A.I.; Sagun, V.V.; Grinyuk, B.E.; Savchenko, D.O.; Zinovjev, G.M.; Nikonov, E.G.; Bravina, L.V.; Zabrodin, E.E.; Blaschke, D.B.; Taranenko, A.V.; Turko, L. Hard-Core Radius of Nucleons within the Induced Surface Tension Approach. Universe 2019, 5, 63.

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