Angular Momentum Projection of Cranked PNC Wave Function

  • In studying the properties of nuclear higher-spin states, not only is the K-mixture needed to be taken into account, but also the Coriolis interaction (the cranking term) should be introduced. The cranking term breaks the time reversal symmetry, and the projection of the single-particle angular momentum on the intrinsic symmetric axis is no longer a good quantum number. This makes the theoretical calculation somewhat complicated. However, considering some intrinsic symmetry in a nucleus, it is not very difficult to apply the angular momentum projection technique to the PNC wave functions including the cranking components (the cranked PNC wave functions). In this paper the fundamental expressions for calculating the nuclear energy spectra and the electromagnetic properties are deduced and evaluated in theory, consequently the feasibility of actualizing the present scheme is made clear.
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  • [1] Bardeen J. Cooper L, Schrieffer J. Phys. Rev.,1957 , 108 :1175-1204[2] Yang LiMling, ZENG JinYan. Acta Phyica Sinica (in Chinese), 1964. 20;846-862; ZENC JinYan,CHEN JianHIua,WEI Hai(itktn. Acta Phy}ica Situca (in Chinese),1965 , 21;267-316; WU CtxutgShi, ZENG JinYan. Acta Physica Sinica (in Chinese), 1965, 21:915-951(杨立铭,曾谨言,物理学报,1964,20:846-862;曾谨言,陈建华,魏海官.物理学报,1965.21:267-316;吴崇试,曾谨言,物理学报,1965,21:915-951)[3] CHENG TanSheng. ZENG JinYan. Physica (in Chinese),1973, 2;57-74; CHNG TanSheng. ZENG JinYan. Acta Physica Sinica (in Chinex), 1977, 26:243-249(程核牛,曾谨言.物理,1973 , 2: 57-74;程植生,曾谨言物理学报,1977,26:243-249)[4] ZENG JinYan. High Energy Phys. and Nucl. Phvs. (in Chinese), 1978, 2:428-440; 1979. 3:102-107(曾谨言.高能物理与核物理,1978,2:428-440;1979,3:102-107)[5] ZENG J Y, CHENG T S. Nucl. Phys.,1983. A405: 1-28; ZENG J Y, CHF;NG T S, CHFNG 1. et al. Nucl Phys.,1983, A411:49-G4; Nucl. Phys,1984, A414:253-268[6] CHENG T S, WU C S. ZENG J Y. Chin. Phys. Iztt.,1986, 3:125-128; WU C S, ZENG J Y . Chin. Phys Lett.,1986, 3:149-152[7] WU ChongShi. ZENG JinYan. High Energy Phys. Nucl. Phys. (in Chinese), 1988, 12:95-101(昊崇试,曾谨言.高能物理与核物理,1988,12:95-101)[8] WL; C S, ZENG ] Y. Phys. Rev.,1989 , C40: 998-1005 ; Phys. Rev,1990, Gfl:1822-1830; Phys. Rev Lett.,1991 .66 :1022-1025[9] ZFNG J Y, LEI Y .A, J IN 't H et al. Phys. Rev.,1994 , 050 : 746-756[10] ZENG J Y , J I N T H , ZHAO Z J . Phys. Rev,1994, 050:1388-1397[11] HAN Y, L1.40 J Z. Submitted to Science in China (Series A), 1999[12] Hara K, SCTN Y. Int. J. Mod. Phys.,1995. Ff1:637-785[13] Parikh J K. Phys. Rev.,1974, 010;2568-2576[14] Dhar .A K, Kulkami U R, lihatt K H. Nucl. Phys.,1975 , A238 : 340-364[15] H.A.N Yong. High Energy Phys. and Nucl. Phys. (in Chinese), 1998, 22:1020-1028 (韩勇高能物理与核物理,1998,22:1020-1028)[16] Brussaard P J .Gaaudemans P W M. Shell-model Applications in Nuclear Spectroscopy. Amsterd.Ncw York-Oxford North-Holland Publishing Company, 1977. 280-283
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HAN Yong. Angular Momentum Projection of Cranked PNC Wave Function[J]. Chinese Physics C, 2000, 24(6): 546-553.
HAN Yong. Angular Momentum Projection of Cranked PNC Wave Function[J]. Chinese Physics C, 2000, 24(6): 546-553. shu
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Received: 1999-06-22
Revised: 1900-01-01
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Angular Momentum Projection of Cranked PNC Wave Function

    Corresponding author: HAN Yong,
  • Department of Physics, Sichuan University, Chengdu 610064, China

Abstract: In studying the properties of nuclear higher-spin states, not only is the K-mixture needed to be taken into account, but also the Coriolis interaction (the cranking term) should be introduced. The cranking term breaks the time reversal symmetry, and the projection of the single-particle angular momentum on the intrinsic symmetric axis is no longer a good quantum number. This makes the theoretical calculation somewhat complicated. However, considering some intrinsic symmetry in a nucleus, it is not very difficult to apply the angular momentum projection technique to the PNC wave functions including the cranking components (the cranked PNC wave functions). In this paper the fundamental expressions for calculating the nuclear energy spectra and the electromagnetic properties are deduced and evaluated in theory, consequently the feasibility of actualizing the present scheme is made clear.

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