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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">npe</journal-id><journal-title-group><journal-title xml:lang="ru">Ядерная физика и инжиниринг</journal-title><trans-title-group xml:lang="en"><trans-title>Nuclear Physics and Engineering</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2079-5629</issn><issn pub-type="epub">2079-5637</issn><publisher><publisher-name>МИФИ</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.56304/S207956292201033X</article-id><article-id custom-type="elpub" pub-id-type="custom">npe-21</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Математическое моделирование в ядерных технологиях</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Mathematical Modeling in Nuclear Technologies</subject></subj-group></article-categories><title-group><article-title>СТАНДАРТНАЯ ТЕОРИЯ СЦИНТИЛЛЯЦИОННЫХ СПЕКТРОМЕТРОВ С ОДНИМ ФОТОДЕТЕКТОРОМ</article-title><trans-title-group xml:lang="en"><trans-title>Standard Theory of a Scintillation Spectrometer with a Single Photodetector</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Самедов</surname><given-names>В. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Samedov</surname><given-names>V. V.</given-names></name></name-alternatives><email xlink:type="simple">v-samedov@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Национальный исследовательский ядерный университет “МИФИ”, Москва, 115409 Россия</institution><country>Россия</country></aff><aff xml:lang="en"><institution>National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow, 115409 Russia</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>24</day><month>10</month><year>2023</year></pub-date><volume>13</volume><issue>2</issue><fpage>118</fpage><lpage>126</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Самедов В.В., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Самедов В.В.</copyright-holder><copyright-holder xml:lang="en">Samedov V.V.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://npe.elpub.ru/jour/article/view/21">https://npe.elpub.ru/jour/article/view/21</self-uri><abstract><p>Существующие в настоящее время макроскопические теории сцинтилляционных спектрометров с одним фотодетектором обладают рядом принципиальных недостатков. Преодолеть указанные недостатки позволяет корректное микроскопическое описание процессов, происходящих при преобразовании энергии первичной частицы в сигнал на выходе сцинтилляционного спектрометра. Сформулированная в работе математическая модель является основанием для стандартной теории сцинтилляционных спектрометров с одним фотодетектором, которая позволяет получать выражения для произвольных моментов функции распределения сигнала на выходе сцинтилляционного спектрометра. Показано, что в разработанной стандартной теории сцинтилляционных спектрометров с одним фотодетектором отсутствуют недостатки существующих в настоящее время теорий сцинтилляционных спектрометров. В частности, в разработанной стандартной теории показана структура вклада в энергетическое разрешение, связанного с нелинейностью световыхода сцинтиллятора.</p></abstract><trans-abstract xml:lang="en"><p>The currently existing macroscopic theories of scintillation spectrometers with a single photodetector have a number of fundamental drawbacks. The drawbacks can be overcome by a correct microscopic description of the processes occurring when the energy of the primary particle is converted into an output signal of the scintillation spectrometer. The mathematical model formulated in this work is the basis for the standard theory of scintillation spectrometers with a single photodetector, which allows one to obtain expressions for arbitrary moments of the signal distribution function at the output of the scintillation spectrometer. It is shown that the developed standard theory of scintillation spectrometers with a single photodetector does not have the drawbacks of other theories of scintillation spectrometers. In particular, the contribution to the energy resolution associated with the light yield nonlinearity of the scintillator is considered in the developed standard theory.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>сцинтилляционный детектор</kwd><kwd>фотодетектор</kwd><kwd>энергетическое разрешение</kwd><kwd>световыход</kwd><kwd>нелинейность световыхода</kwd><kwd>светосбор</kwd><kwd>фактор Фано</kwd></kwd-group><kwd-group xml:lang="en"><kwd>scintillation detector</kwd><kwd>photodetector</kwd><kwd>energy resolution</kwd><kwd>light yield</kwd><kwd>light yield nonlinearity</kwd><kwd>light collection</kwd><kwd>Fano factor</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">&lt;em&gt;Breitenberger E.&lt;/em&gt; // Progr. Nucl. Phys. 1955. V. 4. P. 56.</mixed-citation><mixed-citation xml:lang="en">&lt;em&gt;Breitenberger E.&lt;/em&gt; // Progr. Nucl. Phys. 1955. V. 4. 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