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The results demonstrate the validity of such a scheme, which in turn leads to a significant reduction in the dimensionality of the multi-pair configuration space. Specifically, in the case of an axially-deformed basis, the results yield a satisfactory description of the low-lying spectrum, even without the need for applying the projection procedure. In the case of a triaxially-deformed basis, the result of variation after angular momentum projection suggest a potential for using the NPSM to find exact solutions in a semi-magic system.<\/jats:p>","DOI":"10.3390\/sym15091653","type":"journal-article","created":{"date-parts":[[2023,8,28]],"date-time":"2023-08-28T01:56:57Z","timestamp":1693187817000},"page":"1653","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Nucleon-Pair Shell Model within a Symmetry Broken Basis"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4483-1992","authenticated-orcid":false,"given":"Bingcheng","family":"He","sequence":"first","affiliation":[{"name":"Physics Division, Argonne National Laboratory, Lemont, IL 60439, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Siyao","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Physics, Nankai University, Tianjin 300071, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yu","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Physics, Liaoning Normal University, Dalian 116029, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lei","family":"Li","sequence":"additional","affiliation":[{"name":"School of Physics, Nankai University, Tianjin 300071, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yanan","family":"Luo","sequence":"additional","affiliation":[{"name":"School of Physics, Nankai University, Tianjin 300071, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5118-1719","authenticated-orcid":false,"given":"Feng","family":"Pan","sequence":"additional","affiliation":[{"name":"Department of Physics, Liaoning Normal University, Dalian 116029, China"},{"name":"Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3568-8223","authenticated-orcid":false,"given":"Jerry P.","family":"Draayer","sequence":"additional","affiliation":[{"name":"Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,8,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"743","DOI":"10.1103\/RevModPhys.70.743","article-title":"Structure and dynamics of few-nucleon systems","volume":"70","author":"Carlson","year":"1998","journal-title":"Rev. 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