Analytical Expressions for Reduced Coefficients of SfSf-1

  • An algebraic routine for the evaluation of analytical expressions of multiplicity-free reduced coefficients of SfSf-1 is formulated based on the linear equation method and the analytical continuation of the rank f.As examples, ISFs of SfSf-1 for the coupling [f-1,1]·[f-1,1] and [f-1,1]·[f-2,1,1] are tabulated. It is obvious that the number of ISF tables is greatly reduced in comparison with numerical results calculated by using other methods.
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  • [1] . Hamermesh M .Group Theory and Its Applications to Physical Problems.Reading,MA :Addison Wesley,19622. CHEN J Q .J .Math.Phys.,1981,22:13. CHEN J Q ,GAO M J .J.Phys.,1984,A17:19414. Harvey M .Nucl.Phys.,1981,A352:3015. Vanagas V .Algebraic Method in Nuclear Theory.Vilnius:Mintis,19726. Helminen C ,Riska D O .Nucl.Phys.,2002,A699:6247. Straub U ,ZHANG Z Y ,Baruer K B et al.Phys.Lett.,1988,B200:2418. ZHANG Z Y ,YU Y W ,SHEN P N et al.Nucl.Phys.,1997,A625:599. CHEN J Q ,GAO M J ,SHI Y J et al.Nucl.Phys.,1984,A419:7710. GAO M J, CHEN J Q .J .Phys.,1985,A22:18911. Schindler S ,Mirman. J .Math.Phys.,1977,18:167812. Schindler S ,Mirman.J .Math.Phys.,1977,18:169713. Stancu F ,Pepin S .Few Body Systems,1999,26:11314. PAN Feng,CHEN J Q .J. Phys.,1993,A26:429915. PAN Feng,CHEN J Q .J. Math.Phys.,1993,A34:430516. PAN Feng.J .Phys.,1995,A28:313917. DAI L R ,PAN Feng,Draayer J P .J.Phys.,2001,A34:658518. PAN Feng,Commun.Theor. Phys.,1999,31:11319. CHEN J Q .Group Representation Theory for Physicists. Singapore: World Scientific,1989
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DAI Lian-Rong and PAN Feng. Analytical Expressions for Reduced Coefficients of SfSf-1[J]. Chinese Physics C, 2003, 27(3): 238-244.
DAI Lian-Rong and PAN Feng. Analytical Expressions for Reduced Coefficients of SfSf-1[J]. Chinese Physics C, 2003, 27(3): 238-244. shu
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Received: 2002-05-14
Revised: 1900-01-01
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Analytical Expressions for Reduced Coefficients of SfSf-1

    Corresponding author: DAI Lian-Rong,

Abstract: An algebraic routine for the evaluation of analytical expressions of multiplicity-free reduced coefficients of SfSf-1 is formulated based on the linear equation method and the analytical continuation of the rank f.As examples, ISFs of SfSf-1 for the coupling [f-1,1]·[f-1,1] and [f-1,1]·[f-2,1,1] are tabulated. It is obvious that the number of ISF tables is greatly reduced in comparison with numerical results calculated by using other methods.

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