The method of Belyaev and Zelevinski for handling the rotational collective states of deformed nuclei has been extended. It is shown how a [J(J+1)]2 term naturally occurs in the energy spectrum of a rotational band for even-even nuclei. This is accomplished by modifying the assumption that Belyaev and Zelevinski imposed on their |n> states. This leads to a definite relationship between the coefficient of the J(J+1) and [J(J+1)]2 terms in the energy spectrum. This technique is applied to a single isolated j-level and to an arbitrary level scheme.
","abstract_html":"<p>The method of Belyaev and Zelevinski for handling the rotational collective states of deformed nuclei has been extended. It is shown how a [J(J+1)]<sup>2</sup> term naturally occurs in the energy spectrum of a rotational band for even-even nuclei. This is accomplished by modifying the assumption that Belyaev and Zelevinski imposed on their |n> states. This leads to a definite relationship between the coefficient of the J(J+1) and [J(J+1)]<sup>2</sup> terms in the energy spectrum. This technique is applied to a single isolated j-level and to an arbitrary level scheme.</p>","abstract_has_math":false,"creators":["Gray, Jeffrey W."],"institution":null,"degree_name":"Doctor of Philosophy (PhD)","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Newton Greenberg","Sol Raboy","Tsu-ming Wu"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1973,"date_issued":"1973-01-01T08:00:00Z","date_published":"1973-01-01T08:00:00Z","updated_at":"2026-07-24T01:10:35Z","subjects":["Nuclear excitation","Belyaev-Zelivinski method","Physics"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://orb.binghamton.edu/dissertation_and_theses/192","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Newton Greenberg","Sol Raboy","Tsu-ming Wu"]},{"key":"dc:creator","label":"Author","values":["Gray, Jeffrey W."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Doctor of Philosophy (PhD)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Nuclear excitation","Belyaev-Zelivinski method","Physics"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://orb.binghamton.edu/dissertation_and_theses/192"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The method of Belyaev and Zelevinski for handling the rotational collective states of deformed nuclei has been extended. It is shown how a [J(J+1)]2 term naturally occurs in the energy spectrum of a rotational band for even-even nuclei. This is accomplished by modifying the assumption that Belyaev and Zelevinski imposed on their |n> states. This leads to a definite relationship between the coefficient of the J(J+1) and [J(J+1)]2 terms in the energy spectrum. This technique is applied to a single isolated j-level and to an arbitrary level scheme.
"]},{"key":"dc:title","label":"Title","values":["Extension of Belyaev-Zelivinski method of rotation as intrinsic nuclear excitation"]}]}],"canonical_facts":{"dc:contributor":["Newton Greenberg","Sol Raboy","Tsu-ming Wu"],"dc:creator":["Gray, Jeffrey W."],"dc:description.abstract":["The method of Belyaev and Zelevinski for handling the rotational collective states of deformed nuclei has been extended. It is shown how a [J(J+1)]2 term naturally occurs in the energy spectrum of a rotational band for even-even nuclei. This is accomplished by modifying the assumption that Belyaev and Zelevinski imposed on their |n> states. This leads to a definite relationship between the coefficient of the J(J+1) and [J(J+1)]2 terms in the energy spectrum. This technique is applied to a single isolated j-level and to an arbitrary level scheme.
"],"dc:identifier":["https://orb.binghamton.edu/dissertation_and_theses/192"],"dc:subject":["Nuclear excitation","Belyaev-Zelivinski method","Physics"],"dc:title":["Extension of Belyaev-Zelivinski method of rotation as intrinsic nuclear excitation"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Doctor of Philosophy (PhD)"]},"updated_at":"2026-07-24T01:10:35Z"}