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         <JournalSPIN>30312819</JournalSPIN>
         <JournalTitle>The European Physical Journal C</JournalTitle>
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                  <OnlineDate>
                     <Year>2022</Year>
                     <Month>9</Month>
                     <Day>8</Day>
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                     <Year>2022</Year>
                     <Month>6</Month>
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                  <ArticleTitle Language="En" OutputMedium="All">A test of the evolution of gas depletion factor in galaxy clusters using strong gravitational lensing systems</ArticleTitle>
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                        <Year>2022</Year>
                        <Month>6</Month>
                        <Day>8</Day>
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                        <Year>2022</Year>
                        <Month>1</Month>
                        <Day>25</Day>
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                        <Year>2022</Year>
                        <Month>6</Month>
                        <Day>6</Day>
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                        <Year>2022</Year>
                        <Month>6</Month>
                        <Day>13</Day>
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                  <ArticleFundingInformation>
                     <Fund>
                        <FunderName FundRefID="http://dx.doi.org/10.13039/501100003593">Conselho Nacional de Desenvolvimento Científico e Tecnológico</FunderName>
                        <GrantNumber Type="FundRef">428755/2018-6 305930/2017-6</GrantNumber>
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                        <FunderName>DST</FunderName>
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                     <CopyrightYear>2022</CopyrightYear>
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                           <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>
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                        <SimplePara>Funded by SCOAP<Superscript>3</Superscript>
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                     <Author AffiliationIDS="Aff1 Aff2 Aff3" ID="Au1">
                        <AuthorName DisplayOrder="Western">
                           <GivenName>R.</GivenName>
                           <GivenName>F.</GivenName>
                           <GivenName>L.</GivenName>
                           <FamilyName>Holanda</FamilyName>
                        </AuthorName>
                        <Contact>
                           <Email>holandarfl@fisica.ufrn.br</Email>
                        </Contact>
                     </Author>
                     <Author AffiliationIDS="Aff4" ID="Au2">
                        <AuthorName DisplayOrder="Western">
                           <GivenName>Kamal</GivenName>
                           <FamilyName>Bora</FamilyName>
                        </AuthorName>
                        <Contact>
                           <Email>ph18resch11003@iith.ac.in</Email>
                        </Contact>
                     </Author>
                     <Author AffiliationIDS="Aff4" CorrespondingAffiliationID="Aff4" ID="Au3"
                             ORCID="http://orcid.org/0000-0002-0466-3288">
                        <AuthorName DisplayOrder="Western">
                           <GivenName>Shantanu</GivenName>
                           <FamilyName>Desai</FamilyName>
                        </AuthorName>
                        <Contact>
                           <Email>shntn05@gmail.com</Email>
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                     <Affiliation ID="Aff1">
                        <OrgID Level="Institution" Type="GRID">grid.411233.6</OrgID>
                        <OrgID Level="Institution" Type="ISNI">0000 0000 9687 399X</OrgID>
                        <OrgDivision>Departamento de Física</OrgDivision>
                        <OrgName>Universidade Federal do Rio Grande do Norte</OrgName>
                        <OrgAddress>
                           <City>Natal</City>
                           <State>Rio Grande do Norte</State>
                           <Postcode>59072-970</Postcode>
                           <Country Code="BR">Brazil</Country>
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                        <OrgID Level="Institution" Type="ISNI">0000 0001 0169 5930</OrgID>
                        <OrgDivision>Departamento de Física</OrgDivision>
                        <OrgName>Universidade Federal de Campina Grande</OrgName>
                        <OrgAddress>
                           <City>Campina Grande</City>
                           <State>PB</State>
                           <Postcode>58429-900</Postcode>
                           <Country Code="BR">Brazil</Country>
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                        <OrgID Level="Institution" Type="GRID">grid.411252.1</OrgID>
                        <OrgID Level="Institution" Type="ISNI">0000 0001 2285 6801</OrgID>
                        <OrgDivision>Departamento de Física</OrgDivision>
                        <OrgName>Universidade Federal de Sergipe</OrgName>
                        <OrgAddress>
                           <City>Aracaju</City>
                           <State>SE</State>
                           <Postcode>49100-000</Postcode>
                           <Country Code="BR">Brazil</Country>
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                        <OrgID Level="Institution" Type="GRID">grid.459612.d</OrgID>
                        <OrgID Level="Institution" Type="ISNI">0000 0004 1767 065X</OrgID>
                        <OrgDivision>Department of Physics</OrgDivision>
                        <OrgName>Indian Institute of Technology, Hyderabad</OrgName>
                        <OrgAddress>
                           <City>Kandi</City>
                           <State>Telangana</State>
                           <Postcode>502285</Postcode>
                           <Country Code="IN">India</Country>
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                  <Abstract ID="Abs1" Language="En" OutputMedium="All">
                     <Heading>Abstract</Heading>
                     <Para ID="Par1">In this work, we discuss a new method to probe the redshift evolution of the gas depletion factor, i.e. the ratio by which the gas mass fraction of galaxy clusters is depleted with respect to the universal mean of baryon fraction. The dataset we use for this purpose consists of 40 gas mass fraction measurements measured at <InlineEquation ID="IEq1">
                           <EquationSource Format="TEX"><![CDATA[$$r_{2500}$$]]></EquationSource>
                           <EquationSource Format="MATHML">
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                                 <msub>
                                    <mi>r</mi>
                                    <mn>2500</mn>
                                 </msub>
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                           </EquationSource>
                        </InlineEquation> using Chandra X-ray observations, strong gravitational lensing sub-samples obtained from SLOAN Lens ACS + BOSS Emission-line Lens Survey (BELLS) + Strong Legacy Survey SL2S + SLACS. For our analysis, the validity of the cosmic distance duality relation is assumed. We find a mildly decreasing trend for the gas depletion factor as a function of redshift at about 2.7<InlineEquation ID="IEq2">
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