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

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

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2024年10月30日

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

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

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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

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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.

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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

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

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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.