REGROUPING CYCLE STRUCTURE IN THE ANTISYMMETRIZER AND A THEORY OF BOSON MAPPING

BAO Cheng-Guang; WANG Ru-Lin; PAN Ji-Zhi

Chinese Physics C> 1987, Vol. 11> Issue(4) : 483-490

REGROUPING CYCLE STRUCTURE IN THE ANTISYMMETRIZER AND A THEORY OF BOSON MAPPING

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper, an exact boson representation of the antisymmetrizer has been derived. The effect of the antisymmetrization is expressed by different kinds of many-body forces in boson space. An estimation to the importance of many-boson forces has made. With the inclusion of the three-boson force, a calculation of the spectrum of a six fermions system in j=13/2 shell has been carried out in boson space and exact coincidence with the exact spectrum is recovered. We found that the 3-boson force is indispensable when the fermion space is crowded.

References

[1]

A. Arima and F. Iachello, Annals of Phys, 99(1976), 253.[2] T Otsuka, A. Arima and F. Iachello, Nucl Phys, A309 (1978), 1.[3] L. M. Yang, Nucl. Phys, A421 (1984), 229c.[4] C.L.Wu and D H. Feng, Annals of Phys., 135(1981), 166; Phys. Rev, C24(1981), 727, Nucl. Phys,A421(1984),249c.[5] C.G. Bao, Nucl. Phys, A425(1984), 12;R. L Wang, J Z. Pan and C. G. Bao, Phys Rev ,C33(1986), 1775.[6] A. Faessler and I. Morrison, Nucl. Phys, A423(1984), 320.[7] P.H.Feng, K. X. Wang, A. L. Wang and C. L. Wu, Phys. Lett., 155B (1985), 203, C. L. Wu, W. X.Tang and D. H. Feng, Phys. Lett , 155B (1985), 108.

[1]	ZHANG Wei-Ning , TANG Gui-Xin , ZHANG Sheng , CHEN Xiang-Jun , HUO Lei , LIU Yi-Ming . Analysis of Multiparticle Bose-Einstein Correlations for QGP Hadronization. Chinese Physics C, 2001, 25(3): 237-243.
[2]	Feng Shengzu , Ruan Tunan . Comments on the Bosonnization Technique of Fermions. Chinese Physics C, 1999, 23(11): 1119-1124.
[3]	Yu Zhaoxian , Zhang Dexing , Liu Yehou . Algbraic Structure of Two-Parameter Deformed Multi-Mode Bose Operators and Their Applications (Ⅰ). Chinese Physics C, 1997, 21(11): 999-1004.
[4]	Shi Kangjie , Yang Wenli , Fan Heng , Hou Boyu . Bosonized Vertex Operators Realize Z-F Algebra for Z_n Symmetric Belavin R Matrix. Chinese Physics C, 1997, 21(8): 706-713.
[5]	Zeng Jinyan , Lei Yian , Wu Wenqing . Construction of Paired States in Axially Symmetric Deformed Nuclei. Chinese Physics C, 1995, 19(9): 834-839.
[6]	ZHAO Liu . From Integrability to Conformal Symmetry: Bosonic Superconformal Toda Theories. Chinese Physics C, 1993, 17(5): 431-443.
[7]	MIAO Yan-Gang . BFV Quantization of the Bosonized Schwinger Model. Chinese Physics C, 1993, 17(5): 407-411.
[8]	MIAO Yan-Gang . Extension of the Linear Self-Dual Constraint Theory and Its Quantization. Chinese Physics C, 1993, 17(7): 626-630.
[9]	HU Zhan-Ning , HOU Bo-Yu . Factorizable S-Matrix and Symmetry Operator With Toroidal Rapidity Values. Chinese Physics C, 1992, 16(11): 978-990.
[10]	NI Guang-Jiong , WANG Rong-Tai , CHEN Su-Qing . THE NONABELIAN BOSONIZATION OF FERMION FIELDS IN (1+1) DIMENSIONS BY PATH INTEGRAL METHOD. Chinese Physics C, 1989, 13(2): 135-141.
[11]	SUN Yi , JING Si-Cong , RUAN Tu-Nan . QUANTIZATION OF BOSON STRING WITH WEYL ORDERING. Chinese Physics C, 1989, 13(5): 411-418.
[12]	YU Yue , GUO Han-Ying . ON GEOMETRIC QUANTIZATION FOR BOSONIC STRING (Ⅱ). Chinese Physics C, 1989, 13(6): 503-511.
[13]	YU Yue , GUO Han-Ying . ON GEOMETRIC QUANTIZATION FOR THE BOSONIC STRINGS(1). Chinese Physics C, 1989, 13(5): 419-428.
[14]	YU Yue . SYMPLECTIC STRUCTURES AND QUANTIZATION FOR BOSONIC STRINGS IN BRST FORMALISM. Chinese Physics C, 1989, 13(1): 92-96.
[15]	LONG Ming , HUANG Tao . A POSSIBLE FORM OF THE PION'S STRUCTURE FUNCTION. Chinese Physics C, 1986, 10(5): 562-569.
[16]	ZHOU Guang-Zhao , WU Yue-Liang , XIE Yan-Bo . A NEW CO-BOUNDARY OPERATOR AND ITS APPLICATIONS. Chinese Physics C, 1986, 10(3): 283-287.
[17]	WANG FAN , HE YIN . THE ANTISYMMETRIC EFFECT OF NUCLEON AND QUARK IN SCATTERING PROCESS. Chinese Physics C, 1981, 5(3): 352-357.
[18]	YIN LO , LI YANG-GUO , LIU XIAN-HUI . OPERATOR THEORY OF HADRON SCATTERING IN GEOMETRICAL MODEL. Chinese Physics C, 1981, 5(6): 653-663.
[19]	Wu Bang-hui , Liu Yong-xian , Hu Shi-ke . A POSSIBLE TYPE OF POTENTIAL FOR THE BOUND STATE OF MESONS. Chinese Physics C, 1980, 4(5): 665-670.
[20]	ZHOU LI-NONG , XIE JIA-LIN . A BI-PERIODIC ACCELERATOR STRUCTURE. Chinese Physics C, 1979, 3(2): 165-175.

Access

Get Citation

BAO Cheng-Guang, WANG Ru-Lin and PAN Ji-Zhi. REGROUPING CYCLE STRUCTURE IN THE ANTISYMMETRIZER AND A THEORY OF BOSON MAPPING[J]. Chinese Physics C, 1987, 11(4): 483-490.

BAO Cheng-Guang, WANG Ru-Lin and PAN Ji-Zhi. REGROUPING CYCLE STRUCTURE IN THE ANTISYMMETRIZER AND A THEORY OF BOSON MAPPING[J]. Chinese Physics C, 1987, 11(4): 483-490. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(2587)
PDF Downloads(449)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

REGROUPING CYCLE STRUCTURE IN THE ANTISYMMETRIZER AND A THEORY OF BOSON MAPPING

Corresponding author: BAO Cheng-Guang,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1987-08-05

Abstract: In this paper, an exact boson representation of the antisymmetrizer has been derived. The effect of the antisymmetrization is expressed by different kinds of many-body forces in boson space. An estimation to the importance of many-boson forces has made. With the inclusion of the three-boson force, a calculation of the spectrum of a six fermions system in j=13/2 shell has been carried out in boson space and exact coincidence with the exact spectrum is recovered. We found that the 3-boson force is indispensable when the fermion space is crowded.