{"title":"预测偶偶核旋转能的双参数模型的比较研究","authors":"P.C. Sood","doi":"10.1016/S0550-306X(68)80014-X","DOIUrl":null,"url":null,"abstract":"<div><p>An objective comparison of the various two-parameter models proposed for the description of rotational states in even-even nuclei is carried out to assess the reliability of their extrapolation for prediction of as yet unobserved levels. The comparison involving energy ratios <em>E(I)/E</em>(2) contains no arbitrarily adjustable parameters. The semi-empirical formula <span><math><mrow><mi>E</mi><mo>(</mo><mi>I</mi><mo>)</mo><mo>=</mo><mi>A</mi><mrow><mo>{</mo><mrow><mn>1</mn><mo>−</mo><mfrac><mrow><mo>(</mo><mrow><mi>B</mi><mo>/</mo><mi>A</mi></mrow><mo>)</mo><mi>I</mi><mo>(</mo><mi>I</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow><mrow><mn>1</mn><mo>+</mo><mi>N</mi><mo>(</mo><mrow><mi>B</mi><mo>/</mo><mi>A</mi></mrow><mo>)</mo><mi>I</mi><mo>(</mo><mi>I</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></mfrac></mrow><mo>}</mo></mrow><mi>I</mi><mo>(</mo><mi>I</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></math></span> is seen to give the best fit. A least-squares fit to observed levels with this formula gives a rms deviation of better than 0.5% in nearly all cases. The calculated values of the rotational constants <em>A</em> and <em>B</em>, and the predicted energies of rotational levels with spin up to <em>I</em> = 16 are tabulated.</p></div>","PeriodicalId":100967,"journal":{"name":"Nuclear Data Sheets. Section A","volume":"4 3","pages":"Pages 281-300"},"PeriodicalIF":0.0000,"publicationDate":"1968-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0550-306X(68)80014-X","citationCount":"16","resultStr":"{\"title\":\"Comparative study of two-parameter models for predicting rotational energies in even-even nuclei\",\"authors\":\"P.C. Sood\",\"doi\":\"10.1016/S0550-306X(68)80014-X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>An objective comparison of the various two-parameter models proposed for the description of rotational states in even-even nuclei is carried out to assess the reliability of their extrapolation for prediction of as yet unobserved levels. The comparison involving energy ratios <em>E(I)/E</em>(2) contains no arbitrarily adjustable parameters. The semi-empirical formula <span><math><mrow><mi>E</mi><mo>(</mo><mi>I</mi><mo>)</mo><mo>=</mo><mi>A</mi><mrow><mo>{</mo><mrow><mn>1</mn><mo>−</mo><mfrac><mrow><mo>(</mo><mrow><mi>B</mi><mo>/</mo><mi>A</mi></mrow><mo>)</mo><mi>I</mi><mo>(</mo><mi>I</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow><mrow><mn>1</mn><mo>+</mo><mi>N</mi><mo>(</mo><mrow><mi>B</mi><mo>/</mo><mi>A</mi></mrow><mo>)</mo><mi>I</mi><mo>(</mo><mi>I</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></mfrac></mrow><mo>}</mo></mrow><mi>I</mi><mo>(</mo><mi>I</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></math></span> is seen to give the best fit. A least-squares fit to observed levels with this formula gives a rms deviation of better than 0.5% in nearly all cases. The calculated values of the rotational constants <em>A</em> and <em>B</em>, and the predicted energies of rotational levels with spin up to <em>I</em> = 16 are tabulated.</p></div>\",\"PeriodicalId\":100967,\"journal\":{\"name\":\"Nuclear Data Sheets. Section A\",\"volume\":\"4 3\",\"pages\":\"Pages 281-300\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1968-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S0550-306X(68)80014-X\",\"citationCount\":\"16\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nuclear Data Sheets. Section A\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0550306X6880014X\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nuclear Data Sheets. Section A","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0550306X6880014X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Comparative study of two-parameter models for predicting rotational energies in even-even nuclei
An objective comparison of the various two-parameter models proposed for the description of rotational states in even-even nuclei is carried out to assess the reliability of their extrapolation for prediction of as yet unobserved levels. The comparison involving energy ratios E(I)/E(2) contains no arbitrarily adjustable parameters. The semi-empirical formula is seen to give the best fit. A least-squares fit to observed levels with this formula gives a rms deviation of better than 0.5% in nearly all cases. The calculated values of the rotational constants A and B, and the predicted energies of rotational levels with spin up to I = 16 are tabulated.