Random Interactions in Nuclei and Extension of 0<SUP>+</SUP> Dominance in Ground States to Irreps of Group Symmetries

V.K.B.Kota

Chinese Physics C> 2004, Vol. 28> Issue(12) : 1307-1312

Random Interactions in Nuclei and Extension of 0⁺ Dominance in Ground States to Irreps of Group Symmetries

V.K.B.Kota ^,

Physical research laboratory,ahmedabad 380009,india

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random one plus two–body hamiltonians invariant with respect to o(n_1)o(n_2)symmetry in the group–subgroup chains u(n )u(n_1)u(n_2)o(n_1)o(n_2)and u(n )o(n )o(n_1)o(n_2) of a variety of interacting boson models are used to investigate the probability of occurrence of a given(ω_1ω_2)irreducible representation(irrep)to be the ground state in even–even nuclei;[ω_1] and [ω_2] are symmetric irreps of o(n_1) and o(n_2) respectively. employing a 500 member random matrix ensemble for n boson systems (with n=10–25),it is found that for n_1,n_2≥3 the (ω_1ω_2)=(00) irrep occurs with～50% and (ω_1ω_2)=(n0) and (0n) irreps each with～25% probability. similarly,for n_1≥3,n_2=1,for even n the ω_1=0 occurs with～75% and ω_1=n with～25% probability and for odd n,ω_1=0 occurs with～50% and ω_1=1,n each with～25% probability. an extended hartree–bose mean–field analysis is used to explain all these results.

References

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V.K.B.Kota. Random Interactions in Nuclei and Extension of 0⁺ Dominance in Ground States to Irreps of Group Symmetries[J]. Chinese Physics C, 2004, 28(12): 1307-1312.

V.K.B.Kota. Random Interactions in Nuclei and Extension of 0⁺ Dominance in Ground States to Irreps of Group Symmetries[J]. Chinese Physics C, 2004, 28(12): 1307-1312. shu

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Received: 2003-11-29
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沈阳化工大学材料科学与工程学院沈阳 110142

Random Interactions in Nuclei and Extension of 0⁺ Dominance in Ground States to Irreps of Group Symmetries

Corresponding author: V.K.B.Kota,

Physical research laboratory,ahmedabad 380009,india

Received Date: 2003-11-29

Accepted Date: 1900-01-01

Available Online: 2004-12-05

Abstract: random one plus two–body hamiltonians invariant with respect to o(n_1)o(n_2)symmetry in the group–subgroup chains u(n )u(n_1)u(n_2)o(n_1)o(n_2)and u(n )o(n )o(n_1)o(n_2) of a variety of interacting boson models are used to investigate the probability of occurrence of a given(ω_1ω_2)irreducible representation(irrep)to be the ground state in even–even nuclei;[ω_1] and [ω_2] are symmetric irreps of o(n_1) and o(n_2) respectively. employing a 500 member random matrix ensemble for n boson systems (with n=10–25),it is found that for n_1,n_2≥3 the (ω_1ω_2)=(00) irrep occurs with～50% and (ω_1ω_2)=(n0) and (0n) irreps each with～25% probability. similarly,for n_1≥3,n_2=1,for even n the ω_1=0 occurs with～75% and ω_1=n with～25% probability and for odd n,ω_1=0 occurs with～50% and ω_1=1,n each with～25% probability. an extended hartree–bose mean–field analysis is used to explain all these results.

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Random Interactions in Nuclei and Extension of 0⁺ Dominance in Ground States to Irreps of Group Symmetries

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Random Interactions in Nuclei and Extension of 0+ Dominance in Ground States to Irreps of Group Symmetries

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Random Interactions in Nuclei and Extension of 0+ Dominance in Ground States to Irreps of Group Symmetries

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Random Interactions in Nuclei and Extension of 0⁺ Dominance in Ground States to Irreps of Group Symmetries

Random Interactions in Nuclei and Extension of 0⁺ Dominance in Ground States to Irreps of Group Symmetries