Angular Momentum Projection of Cranked PNC Wave Function

HAN Yong

Chinese Physics C> 2000, Vol. 24> Issue(6) : 546-553

Angular Momentum Projection of Cranked PNC Wave Function

HAN Yong ^,

Department of Physics, Sichuan University, Chengdu 610064, China

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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.

References

[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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[3]	ZHOU Xian-Rong , GUO Lu , MENG Jie , ZHAO En-Guang . Spectral Statistics in Particles-Rotor Model and Cranking Model. Chinese Physics C, 2002, 26(11): 1125-1133.
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[6]	Lin Xinwei , Liao Boqin , Zheng Renrong . A Study for Nuclei ¹⁶⁶Hf₉₄—¹⁷⁰Hf₉₈ Using Cranking Shell Model with PNC Method. Chinese Physics C, 1995, 19(4): 359-364.
[7]	LU Lan-Chun , LIU Yong . HIGH-ORDER CRANKING CALCULATION IN THE INTERACTING BOSON MODEL AND INTERACTING BOSONFERMION MODEL. Chinese Physics C, 1990, 14(1): 42-48.
[8]	PENG Jian-Ping , WU Chong-Shi , ZENG Jin-Yan . ON THE VALIDITY OF THE CHFB METHOD FOR TREATING THE CSM HAMILTONIAN. Chinese Physics C, 1989, 13(4): 362-369.
[9]	LIAO Ji-Zhi . ELECTROMAGNETIC TRANSITIONS OF NUCLEI IN ANGULAR MOMENTUM PROJECTION HARTREE-FOCK METHOD. Chinese Physics C, 1989, 13(9): 837-841.
[10]	LU Zhong-Dao . EXCITON STATE DENSITY WITH ANGULAR MOMENTUM. Chinese Physics C, 1988, 12(4): 548-553.
[11]	CHENG Tan-Sheng , WU Chong-Shi , ZENG Jin-Yan . PARTICLE-NUMBER-CONSERVING APPROACH FOR TREATING CRANKING HAMILTONIAN. Chinese Physics C, 1988, 12(4): 534-540.
[12]	WANG Tai-Feng , XIA Lin-Hua , MIAO Yuan-Jun , ZHOU Quan-Hua , JIN Qing-Hua , GAO Cheng-Qun , CAI Chong-Hai . EXCITATION FUNCTION FOR α TRANSFER REACTION. Chinese Physics C, 1988, 12(6): 829-832.
[13]	LIN Chun-Zhen , WU Chong-Shi , ZENG Jin-Yan . SENIORITY AND K-STRUCTURE OF THE CARNKED SHELL MODEL WAVE FUNCTION (Ⅰ) EVEN-EVEN NUCLEI. Chinese Physics C, 1988, 12(5): 689-696.
[14]	LIN Xin-Wei , LIAO Bo-Qin , TANG Xiang-Hong , WU Chong-Shi , ZENG Jin-Yan . SENIORITY AND K-STRUCTURE OF THE CRANKED SHELL MODEL WAVE FUNCTION (Ⅱ) ODD-A NUCLEI. Chinese Physics C, 1988, 12(6): 807-813.
[15]	LIAO Ji-Zhi . APPROXIMATE ANGULAR MOMENTUM PROJECTION OF THE DEFORMED HARTREE-FOCK STATE FOR K=1. Chinese Physics C, 1987, 11(5): 682-689.
[16]	GAO Yuan-Yi . ALIGNMENT ANGULAR MOMENTA OF NUCLEI ¹⁵⁶Er AND ¹⁶²Er. Chinese Physics C, 1985, 9(4): 491-492.
[17]	ZHANG Jing-Ye . A MICROSCOPIC ANALYSIS OF THE DIFFERENCE IN ANGULAR MOMENTUM BETWEEN EXCITED AND GROUND BANDS. Chinese Physics C, 1984, 8(3): 346-351.
[18]	Gu JIN-NAN . i(ω) AND EFFECTIVE ROTATION-ALIGNMENT ANGULAR MOMENTUM J. Chinese Physics C, 1981, 5(4): 513-517.
[19]	Huang Chao-shang . THE LARGE MOMENTUM BEHAVIOR OF THE PION WAVE FUNCTION AND THE PION ELECTROMAGNETIC FORM FACTOR. Chinese Physics C, 1980, 4(6): 761-766.
[20]	LEE TZE-PING . ON CLASSICAL ANGULAR MOMENTUM OF AN ELECTRON-MAGNETIC MONOPOLE. Chinese Physics C, 1978, 2(4): 378-381.

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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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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Angular Momentum Projection of Cranked PNC Wave Function

Corresponding author: HAN Yong,

Department of Physics, Sichuan University, Chengdu 610064, China

Received Date: 1999-06-22

Accepted Date: 1900-01-01

Available Online: 2000-06-05

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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Angular Momentum Projection of Cranked PNC Wave Function

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