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

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

    Corresponding author: BAO Cheng-Guang,

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.

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