Analog state resonances
A theory of analog state resonances is presented based on a K-matrix formulation of the shell-model theory of nuclear reactions. After deriving the detailed structure of the analog state and the “configurational states” of Lane and Soper, we discuss the “internal” mixing of the analog state to the c...
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| Veröffentlicht in: | Nuclear physics. A 1968-01, Vol.121 (2), p.385-421 |
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| container_end_page | 421 |
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| container_issue | 2 |
| container_start_page | 385 |
| container_title | Nuclear physics. A |
| container_volume | 121 |
| creator | Mekjian, A. Macdonald, W.M. |
| description | A theory of analog state resonances is presented based on a
K-matrix formulation of the shell-model theory of nuclear reactions. After deriving the detailed structure of the analog state and the “configurational states” of Lane and Soper, we discuss the “internal” mixing of the analog state to the configurational states. A shell-model description of “external” mixing is then given. In contradiction to earlier suggestions that internal mixing is unimportant, we conclude that internal mixing cannot be neglected. We also derive the distribution of partial widths for the fine structure resonances. The structure of the fine structure states is discussed, and the various coupling mechanisms that can exist between the analog state and these states are established. The internal and external mixing of these different isospin states is treated on an equal footing, and the effect on each on the distribution of widths is discussed. Expressions for the average cross section for the one- and many-open channel cases are derived. A numerical discussion of the
p
3
2
analog resonance in
41K is given. |
| doi_str_mv | 10.1016/0375-9474(68)90429-6 |
| format | Article |
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K-matrix formulation of the shell-model theory of nuclear reactions. After deriving the detailed structure of the analog state and the “configurational states” of Lane and Soper, we discuss the “internal” mixing of the analog state to the configurational states. A shell-model description of “external” mixing is then given. In contradiction to earlier suggestions that internal mixing is unimportant, we conclude that internal mixing cannot be neglected. We also derive the distribution of partial widths for the fine structure resonances. The structure of the fine structure states is discussed, and the various coupling mechanisms that can exist between the analog state and these states are established. The internal and external mixing of these different isospin states is treated on an equal footing, and the effect on each on the distribution of widths is discussed. Expressions for the average cross section for the one- and many-open channel cases are derived. A numerical discussion of the
p
3
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K-matrix formulation of the shell-model theory of nuclear reactions. After deriving the detailed structure of the analog state and the “configurational states” of Lane and Soper, we discuss the “internal” mixing of the analog state to the configurational states. A shell-model description of “external” mixing is then given. In contradiction to earlier suggestions that internal mixing is unimportant, we conclude that internal mixing cannot be neglected. We also derive the distribution of partial widths for the fine structure resonances. The structure of the fine structure states is discussed, and the various coupling mechanisms that can exist between the analog state and these states are established. The internal and external mixing of these different isospin states is treated on an equal footing, and the effect on each on the distribution of widths is discussed. Expressions for the average cross section for the one- and many-open channel cases are derived. A numerical discussion of the
p
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analog resonance in
41K is given.</description><subject>ANGULAR MOMENTUM</subject><subject>CONFIGURATION</subject><subject>ENERGY LEVELS</subject><subject>EXCITATION</subject><subject>FINE STRUCTURE</subject><subject>ISOBARIC ANALOGUES</subject><subject>ISOBARIC NUCLEI</subject><subject>ISOSPIN</subject><subject>K-MATRIX</subject><subject>MATRICES</subject><subject>MIXING</subject><subject>N36630 -Physics (Nuclear)-Nuclear Theory-Nuclear Reactions & Scattering</subject><subject>NUCLEAR MODELS</subject><subject>NUCLEAR MODELS/shell, K-matrix formulation for analog state resonances, (T)</subject><subject>NUCLEAR REACTIONS</subject><subject>NUCLEAR REACTIONS/theory of analog state resonances in, using K-matrix formulation of shell-model, (T)</subject><subject>PARTICLE-HOLE MODEL</subject><subject>POTASSIUM 41</subject><subject>RESONANCE</subject><subject>SHELL MODEL</subject><subject>SPECTRA</subject><subject>SPIN</subject><issn>0375-9474</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1968</creationdate><recordtype>article</recordtype><recordid>eNp9jz1LBDEQhlMoeJ7WNhaHlRark813IxzH-QEHNlqHOMlq5NxIEgT_vVlPLB0YBl7eeeAh5JTCJQUqr4Ap0Rmu-LnUFwZ4bzq5R2Z_8QE5LOUN2kiAGTlZjm6bXhaluhoWOZQ0uhFDOSL7g9uWcPx75-TpZv24uus2D7f3q-WmQ8Zo7Z4VDI3Te4NGM-WF7KliQWiGbQVXzEtAh3LQGr3y6L0whmELAZwb2Jyc7bip1GgLxhrwFdM4BqyWazBMilbiuxLmVEoOg_3I8d3lL0vBTtZ20rOTnpXa_lhb2d6ud2-hCXzGkCd-aHY-5gnvU_wf8A1o0l43</recordid><startdate>19680101</startdate><enddate>19680101</enddate><creator>Mekjian, A.</creator><creator>Macdonald, W.M.</creator><general>Elsevier B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope></search><sort><creationdate>19680101</creationdate><title>Analog state resonances</title><author>Mekjian, A. ; Macdonald, W.M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c331t-b70f6002d9c9837d562173e583c5835473d60cac6f88cd7dcdd5993c60c00aaf3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1968</creationdate><topic>ANGULAR MOMENTUM</topic><topic>CONFIGURATION</topic><topic>ENERGY LEVELS</topic><topic>EXCITATION</topic><topic>FINE STRUCTURE</topic><topic>ISOBARIC ANALOGUES</topic><topic>ISOBARIC NUCLEI</topic><topic>ISOSPIN</topic><topic>K-MATRIX</topic><topic>MATRICES</topic><topic>MIXING</topic><topic>N36630 -Physics (Nuclear)-Nuclear Theory-Nuclear Reactions & Scattering</topic><topic>NUCLEAR MODELS</topic><topic>NUCLEAR MODELS/shell, K-matrix formulation for analog state resonances, (T)</topic><topic>NUCLEAR REACTIONS</topic><topic>NUCLEAR REACTIONS/theory of analog state resonances in, using K-matrix formulation of shell-model, (T)</topic><topic>PARTICLE-HOLE MODEL</topic><topic>POTASSIUM 41</topic><topic>RESONANCE</topic><topic>SHELL MODEL</topic><topic>SPECTRA</topic><topic>SPIN</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Mekjian, A.</creatorcontrib><creatorcontrib>Macdonald, W.M.</creatorcontrib><creatorcontrib>Univ. of Maryland, College Park</creatorcontrib><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>Nuclear physics. A</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Mekjian, A.</au><au>Macdonald, W.M.</au><aucorp>Univ. of Maryland, College Park</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analog state resonances</atitle><jtitle>Nuclear physics. A</jtitle><date>1968-01-01</date><risdate>1968</risdate><volume>121</volume><issue>2</issue><spage>385</spage><epage>421</epage><pages>385-421</pages><issn>0375-9474</issn><abstract>A theory of analog state resonances is presented based on a
K-matrix formulation of the shell-model theory of nuclear reactions. After deriving the detailed structure of the analog state and the “configurational states” of Lane and Soper, we discuss the “internal” mixing of the analog state to the configurational states. A shell-model description of “external” mixing is then given. In contradiction to earlier suggestions that internal mixing is unimportant, we conclude that internal mixing cannot be neglected. We also derive the distribution of partial widths for the fine structure resonances. The structure of the fine structure states is discussed, and the various coupling mechanisms that can exist between the analog state and these states are established. The internal and external mixing of these different isospin states is treated on an equal footing, and the effect on each on the distribution of widths is discussed. Expressions for the average cross section for the one- and many-open channel cases are derived. A numerical discussion of the
p
3
2
analog resonance in
41K is given.</abstract><cop>United States</cop><pub>Elsevier B.V</pub><doi>10.1016/0375-9474(68)90429-6</doi><tpages>37</tpages></addata></record> |
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| identifier | ISSN: 0375-9474 |
| ispartof | Nuclear physics. A, 1968-01, Vol.121 (2), p.385-421 |
| issn | 0375-9474 |
| language | eng |
| recordid | cdi_osti_scitechconnect_4809365 |
| source | Access via ScienceDirect (Elsevier) |
| subjects | ANGULAR MOMENTUM CONFIGURATION ENERGY LEVELS EXCITATION FINE STRUCTURE ISOBARIC ANALOGUES ISOBARIC NUCLEI ISOSPIN K-MATRIX MATRICES MIXING N36630 -Physics (Nuclear)-Nuclear Theory-Nuclear Reactions & Scattering NUCLEAR MODELS NUCLEAR MODELS/shell, K-matrix formulation for analog state resonances, (T) NUCLEAR REACTIONS NUCLEAR REACTIONS/theory of analog state resonances in, using K-matrix formulation of shell-model, (T) PARTICLE-HOLE MODEL POTASSIUM 41 RESONANCE SHELL MODEL SPECTRA SPIN |
| title | Analog state resonances |
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