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         <JournalSPIN>30312819</JournalSPIN>
         <JournalTitle>The European Physical Journal C</JournalTitle>
         <JournalSubTitle>Particles and Fields</JournalSubTitle>
         <JournalAbbreviatedTitle>Eur. Phys. J. C</JournalAbbreviatedTitle>
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            <JournalSubject Code="SCP23029" Priority="1" Type="Secondary">Elementary Particles, Quantum Field Theory</JournalSubject>
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                  <OnlineDate>
                     <Year>2021</Year>
                     <Month>3</Month>
                     <Day>5</Day>
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                  <CoverDate>
                     <Year>2020</Year>
                     <Month>12</Month>
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                  <PricelistYear>2020</PricelistYear>
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                  <CopyrightYear>2020</CopyrightYear>
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                  <ArticleID>8715</ArticleID>
                  <ArticleExternalID Type="arXiv">2009.12818</ArticleExternalID>
                  <ArticleDOI>10.1140/epjc/s10052-020-08715-z</ArticleDOI>
                  <ArticleCitationID>1123</ArticleCitationID>
                  <ArticleSequenceNumber>29</ArticleSequenceNumber>
                  <ArticleTitle Language="En" OutputMedium="All">Radially and azimuthally excited states of a soliton system of vortex and Q-ball</ArticleTitle>
                  <ArticleCategory>Regular Article - Theoretical Physics</ArticleCategory>
                  <ArticleFirstPage>1</ArticleFirstPage>
                  <ArticleLastPage>19</ArticleLastPage>
                  <ArticleHistory>
                     <RegistrationDate>
                        <Year>2020</Year>
                        <Month>11</Month>
                        <Day>27</Day>
                     </RegistrationDate>
                     <Received>
                        <Year>2020</Year>
                        <Month>9</Month>
                        <Day>29</Day>
                     </Received>
                     <Accepted>
                        <Year>2020</Year>
                        <Month>11</Month>
                        <Day>26</Day>
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                     <OnlineDate>
                        <Year>2020</Year>
                        <Month>12</Month>
                        <Day>7</Day>
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                  <ArticleFundingInformation>
                     <Fund>
                        <FunderName FundRefID="http://dx.doi.org/10.13039/501100006769">Russian Science Foundation</FunderName>
                        <GrantNumber Type="FundRef">19-11-00005</GrantNumber>
                     </Fund>
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                     <CopyrightHolderName>The Author(s)</CopyrightHolderName>
                     <CopyrightYear>2020</CopyrightYear>
                     <License SubType="CC BY" Type="OpenAccess" Version="4.0">
                        <SimplePara>
                           <Emphasis Type="Bold">Open Access</Emphasis>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 <ExternalRef>
                              <RefSource>http://creativecommons.org/licenses/by/4.0/</RefSource>
                              <RefTarget Address="http://creativecommons.org/licenses/by/4.0/" TargetType="URL"/>
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                        <SimplePara>Funded by SCOAP<Superscript>3</Superscript>
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                  <AuthorGroup>
                     <Author AffiliationIDS="Aff1" CorrespondingAffiliationID="Aff1" ID="Au1">
                        <AuthorName DisplayOrder="Western">
                           <GivenName>A.</GivenName>
                           <GivenName>Yu.</GivenName>
                           <FamilyName>Loginov</FamilyName>
                        </AuthorName>
                        <Contact>
                           <Email>a.yu.loginov@tusur.ru</Email>
                        </Contact>
                     </Author>
                     <Author AffiliationIDS="Aff2" ID="Au2">
                        <AuthorName DisplayOrder="Western">
                           <GivenName>V.</GivenName>
                           <GivenName>V.</GivenName>
                           <FamilyName>Gauzshtein</FamilyName>
                        </AuthorName>
                        <Contact>
                           <Email>gauzshtein@tpu.ru</Email>
                        </Contact>
                     </Author>
                     <Affiliation ID="Aff1">
                        <OrgID Level="Institution" Type="GRID">grid.440738.c</OrgID>
                        <OrgID Level="Institution" Type="ISNI">0000 0000 9460 4294</OrgID>
                        <OrgName>Tomsk State University of Control Systems and Radioelectronics</OrgName>
                        <OrgAddress>
                           <Postcode>634050</Postcode>
                           <City>Tomsk</City>
                           <Country Code="RU">Russia</Country>
                        </OrgAddress>
                     </Affiliation>
                     <Affiliation ID="Aff2">
                        <OrgID Level="Institution" Type="GRID">grid.27736.37</OrgID>
                        <OrgID Level="Institution" Type="ISNI">0000 0000 9321 1499</OrgID>
                        <OrgName>Tomsk Polytechnic University</OrgName>
                        <OrgAddress>
                           <Postcode>634050</Postcode>
                           <City>Tomsk</City>
                           <Country Code="RU">Russia</Country>
                        </OrgAddress>
                     </Affiliation>
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                  <Abstract ID="Abs1" Language="En" OutputMedium="All">
                     <Heading>Abstract</Heading>
                     <Para ID="Par1">In the present paper, we continue to study the two-dimensional soliton system that is composed of vortex and Q-ball components interacting with each other through an Abelian gauge field. This vortex-Q-ball system is electrically neutral as a whole, nevertheless it possesses a nonzero electric field. Moreover, the vortex-Q-ball system has a quantized magnetic flux and a nonzero angular momentum, and combines properties of topological and nontopological solitons. We investigate radially and azimuthally excited states of the vortex-Q-ball system along with the unexcited vortex-Q-ball system at different values of gauge coupling constants. We also ascertain the behaviour of the vortex-Q-ball system in several extreme regimes, including thin-wall and thick-wall regimes.</Para>
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