Efficient Construction of Gamma-Ray Spectrum Response Matrix via Response Process Decoupling: Validation with Overlapping Peak Resolution

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The paper proposes a method to construct a gamma-ray spectrum response matrix by decoupling the response process into a physical interaction matrix and a statistical broadening matrix, using sparse Monte Carlo simulation (10 keV step) together with PCHIP interpolation to efficiently generate a high-precision 3000×3000 full-energy response matrix. It evaluates peak-unfolding performance when combined with the Boost-Gold algorithm, reporting the ability to resolve overlapping peaks with intensity ratios as low as 0.1 at 300 keV and 0.5 at 2000 keV. Experimental validation is performed using Cs-137/Co-60 and Eu-152 sources to demonstrate weak-peak identification and separation of closely spaced overlapping peaks. The main limitation explicitly implied is that validation is confined to these gamma-ray sources and the unfolding/response-matrix construction framework described. The paper does not explicitly discuss endometriosis or adenomyosis; it was included in the corpus via a keyword match in the upstream search index.

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Efficient Construction of Gamma-Ray Spectrum Response Matrix via Response Process Decoupling: Validation with Overlapping Peak Resolution | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Efficient Construction of Gamma-Ray Spectrum Response Matrix via Response Process Decoupling: Validation with Overlapping Peak Resolution Huichao Qin¹, Xindong Chen¹, Bo Gao³, Zhenghuan Li¹, Zhi Zhong¹, and 1 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9290501/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract A method for constructing the gamma-ray spectrum response matrix based on response process decoupling is proposed. The total response is decomposed into a physical interaction matrix and a statistical broadening matrix. A sparse Monte Carlo simulation (10 keV step) combined with PCHIP interpolation enables efficient construction of a high-precision 3000 × 3000 full-energy response matrix. Combined with the Boost-Gold algorithm, the method resolves overlapping peaks with intensity ratios of 0.1 at 300 keV and 0.5 at 2000 keV. Experimental validation using Cs-137/Co-60 and Eu-152 sources demonstrates effective weak-peak identification and separation of closely spaced overlapping peaks. Spectrum unfolding Response matrix Unbroadened energy spectrum Gold algorithm Boost-Gold algorithm Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-9290501","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":617871794,"identity":"92354ff8-7b54-4048-b46c-da23a1adac2a","order_by":0,"name":"Huichao Qin¹","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAzklEQVRIie3RvQrCMBDA8ZPCTUddA4X0CYRIoNClz9JQcHJwdAwIXV0V+hZC50ghU90dFcGpS0cXP0adGjfB/Ob7cxcC4Hk/CMer/eV2R0JojFsSMltIwJCHI5u7JRzmSQTIJQ9a4XgYGCkXlKgS2/7YQcYneigJtLps2EyVdNilFRQyMcNbGkHCqpId6ojAqHo4eQ1T/lBl3F1dkwIjMigRWnRMmA2mW40cwcq0Eg5vidfr/tRrpFg352O3zPhg8oGR49e8J98Wnud5f+EJ8x4/+M6bAi8AAAAASUVORK5CYII=","orcid":"","institution":"China Institute of Atomic Energy","correspondingAuthor":true,"prefix":"","firstName":"Huichao","middleName":"","lastName":"Qin¹","suffix":""},{"id":617871795,"identity":"fd9812ec-fe11-4a62-952d-1a35072e1901","order_by":1,"name":"Xindong Chen¹","email":"","orcid":"","institution":"China Institute of Atomic Energy","correspondingAuthor":false,"prefix":"","firstName":"Xindong","middleName":"","lastName":"Chen¹","suffix":""},{"id":617871796,"identity":"de0d4fd5-1419-4a45-8928-0d816c123092","order_by":2,"name":"Bo Gao³","email":"","orcid":"","institution":"Department of Radiation Oncology, Fujian Children’s Hospital","correspondingAuthor":false,"prefix":"","firstName":"Bo","middleName":"","lastName":"Gao³","suffix":""},{"id":617871799,"identity":"91c6c27b-535a-4a73-9f6c-e277457b7783","order_by":3,"name":"Zhenghuan Li¹","email":"","orcid":"","institution":"China Institute of Atomic Energy","correspondingAuthor":false,"prefix":"","firstName":"Zhenghuan","middleName":"","lastName":"Li¹","suffix":""},{"id":617871803,"identity":"d878fe0c-e6ad-41dd-a55a-ea45f8d45f3d","order_by":4,"name":"Zhi Zhong¹","email":"","orcid":"","institution":"China Institute of Atomic Energy","correspondingAuthor":false,"prefix":"","firstName":"Zhi","middleName":"","lastName":"Zhong¹","suffix":""},{"id":617871804,"identity":"6c1e27e7-d2f8-403a-ba90-71cc1e452fe4","order_by":5,"name":"Gaokui He¹","email":"","orcid":"","institution":"China Institute of Atomic Energy","correspondingAuthor":false,"prefix":"","firstName":"Gaokui","middleName":"","lastName":"He¹","suffix":""}],"badges":[],"createdAt":"2026-04-01 10:38:18","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-9290501/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-9290501/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":108390800,"identity":"e131d2e8-946e-4e29-9347-6e23db0fb1d5","added_by":"auto","created_at":"2026-05-04 06:57:59","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":935192,"visible":true,"origin":"","legend":"","description":"","filename":"ManuscriptJRNCQinetal.pdf","url":"https://assets-eu.researchsquare.com/files/rs-9290501/v1_covered_359787ac-7b5f-44eb-8dcf-153bab1897ac.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Efficient Construction of Gamma-Ray Spectrum Response Matrix via Response Process Decoupling: Validation with Overlapping Peak Resolution","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Spectrum unfolding, Response matrix, Unbroadened energy spectrum, Gold algorithm, Boost-Gold algorithm","lastPublishedDoi":"10.21203/rs.3.rs-9290501/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-9290501/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eA method for constructing the gamma-ray spectrum response matrix based on response process decoupling is proposed. 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