Berry Phase and Pair Transfer Matrix Element in Rotating Nuclei

Meng Jie; Zeng Jinyan; Zhao Enguang

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1994, Vol. 18> Issue(3) : 249-255

Berry Phase and Pair Transfer Matrix Element in Rotating Nuclei

Institute of Theoretical Physics, Chinese Academy of Science , Beijing 1000802 Department of Physics, Peking University, Beijing 100871

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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.

References

[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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[14]	Sun Changpu . Classical Model for Quantum Berry's Phase Factors. Chinese Physics C, 1989, 13(S1): 15-22.
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[16]	CHEN Qi-Zhou , LI Zhi-Bing , HE Bao-Peng , LUO Xiang-Qian , GUO Shuo-Hong . THE WEAK INTERACTION MATRIX ELEMENTS OF │ΔS│=2 ON LATTICE. Chinese Physics C, 1988, 12(4): 459-464.
[17]	SUN Chang-Pu . QUASI-ADIABATIC APPROXIMATION FOR THE SLOWLY-CHANGING QUANTUM PROCCESS AND BERRY PHASE FACTOR. Chinese Physics C, 1988, 12(3): 351-357.
[18]	Sun Changpu . Quasi-Adiabatic Approximation for Slowly-Changing Quantum System and Berry's Phase Factors. Chinese Physics C, 1988, 12(S3): 251-260.
[19]	FU De-Ji , GAN You-Ping . THE CALCULATION OF 2v ββ NUCLEAR MATRIX ELEMENT. Chinese Physics C, 1987, 11(4): 549-553.
[20]	ZHANG QING-YING . THE FORMULAS OF MATRIX ELEMENTS OF THE TWO-BODY SPIN-ORBIT INTERACTION. Chinese Physics C, 1979, 3(6): 658-664.

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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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沈阳化工大学材料科学与工程学院沈阳 110142

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

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1994-03-05

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.