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Non-relativistic expansion of single-nucleon Dirac equation:Comparison between Foldy-Wouthuysen transformation and similarity renormalization group

Non-relativistic expansion of single-nucleon Dirac equation:Comparison between Foldy-Wouthuysen transformation and similarity renormalization group
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摘要 By following the Foldy-Wouthuysen(FW)transformation of the Dirac equation,we derive the exact analytic expression up to the 1/M4 order for general cases in the covariant density functional theory.The results are compared with the corresponding ones derived from another novel non-relativistic expansion method,the similarity renormalization group(SRG).Based on this comparison,the origin of the difference between the results obtained with the FW transformation and the SRG method is explored. By following the Foldy-Wouthuysen(FW) transformation of the Dirac equation,we derive the exact analytic expression up to the 1/M^4 order for general cases in the covariant density functional theory.The results are compared with the corresponding ones derived from another novel non-relativistic expansion method,the similarity renormalization group(SRG).Based on this comparison,the origin of the difference between the results obtained with the FW transformation and the SRG method is explored.
作者 Yixin Guo Haozhao Liang 郭一昕;梁豪兆(Department of Physics,Graduate School of Science,The University of Tokyo,Tokyo 113-0033,Japan;RIKEN Nishina Center,Wako 351-0198,Japan;Department of Modern Physics,University of Science and Technology of China,Hefei 230026,China)
出处 《Chinese Physics C》 SCIE CAS CSCD 2019年第11期100-105,共6页 中国物理C(英文版)
基金 Partially supported by the JSPS Grant-in-Aid for Early-Career Scientists(18K13549) the JSPS-NSFC Bilateral Program for Joint Research Project on Nuclear mass and life for unravelling mysteries of the r-process RIKEN Pioneering Project:Evolution of Matter in the Universe
关键词 Dirac equation non-relativistic EXPANSION Foldy-Wouthuysen TRANSFORMATION SIMILARITY renormalizationgroup Dirac equation non-relativistic expansion Foldy-Wouthuysen transformation similarity renormalization group
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