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2024年10月30日

Berry Phase and Pair Transfer Matrix Element in Rotating Nuclei

  • The exact treatment for the cranked single-j shell model Hamiltonian using the particle-number conserving method and the systematic analysis for the .pair transfer matrix element in rotating nuclei have been done. In contrast to the previous conclusion drawn from the usual Hatree-Fock-Bogoliubov(HFB) method or the number projected HFB treatment, for the pair transfer matrix element from the yrast band to yrast band, a smooth and slow variation with co is observed and no oscillation behavior occurs. But diabolic pair transfer is expected to occur in some higher excited bands.
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  • [1] R.S.Nikam,P.Ring and L.F.Canto,Z.Phys.,A324(1986)241.[2]K.S.Nikam,P.Ring and L.F.Canto,Phys.Lett.,185B(1987)269.[3]L.F.Canto,R.Donangelo,R.S.Nikam,P.Ring,Phys. Lett.,192B(1987)4.[4]K.S.Nikam and P.Ring,Phys.Rev.Lett.,58(1987)980.[5]K.S.Nikam,P.Riny,Y.SunandE.R.Marshalek,Phys.Lett,235B(1990)225.[6]Y.Sun.P.Ring and R.S.Nikam,Z.Phys,A339(1991)51.[7]N.Kowley:K.E.Pal and M.A.Nagarajan,Phys.Lett,201B(1988)187.[8]M.Hasegawa.S.Tazaki and K.Muramatsu,Phys.Lett.,226B(1989)1.[9]R.Bengtsson,I.Hamamoto and B.R.Mottelson,Phys.Lett.,73B(1978)259.[10]M.y.Berry.Proc.Roc.Soc,A392(1984),45.[11]Y.Akaronov and J.Anandan,Phys.Rev.Lett,58(1987)1593.[12]R.Bengtsson and J.D.Garrett,INt.Rev.Nucl.Phys.,2(1934)193.[13]J.Y.Zeng,and T.S.Ckeng,Nucl.Phys,A405(1983)1.[14]L.F.Canto,P.Ring and J.O.Rasmussen,Phys.Lett.,161B(1985)21.[15]e.g.A.Goodman,Nucl.Phys.,A256(1976)113.[16]U.Mutz and P.Ring,J.Pkys,G10L39(1984).[17]C.S.Wu and J.Y.Zeng,Phys.Rev.,C40(1989)998;ibidC41(1990)1822.[18]C.S.Wu and J.Y.Zeng,Phys.Rev.,Lett,66(1991)1022;Phys.Rev.,C44(1991)2556.[19]P. Ring and P. Schuck, The Nuclear Many-body Problem (Springer-Verlag. Heidelberg,1980).[20]B. Simon, Phys. Rev. Lett., 51 (1983)2167.
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Get Citation
Meng Jie, Zeng Jinyan and Zhao Enguang. Berry Phase and Pair Transfer Matrix Element in Rotating Nuclei[J]. Chinese Physics C, 1994, 18(3): 249-255.
Meng Jie, Zeng Jinyan and Zhao Enguang. Berry Phase and Pair Transfer Matrix Element in Rotating Nuclei[J]. Chinese Physics C, 1994, 18(3): 249-255. shu
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Received: 1900-01-01
Revised: 1900-01-01
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Berry Phase and Pair Transfer Matrix Element in Rotating Nuclei

    Corresponding author: Meng Jie,
  • Institute of Theoretical Physics, Chinese Academy of Science , Beijing 1000802 Department of Physics, Peking University, Beijing 100871

Abstract: The exact treatment for the cranked single-j shell model Hamiltonian using the particle-number conserving method and the systematic analysis for the .pair transfer matrix element in rotating nuclei have been done. In contrast to the previous conclusion drawn from the usual Hatree-Fock-Bogoliubov(HFB) method or the number projected HFB treatment, for the pair transfer matrix element from the yrast band to yrast band, a smooth and slow variation with co is observed and no oscillation behavior occurs. But diabolic pair transfer is expected to occur in some higher excited bands.

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