Finite size effect on the strength function in a random matrix analysis

Jianzhong Gu; Lei Gao; Bambi Hu

doi:10.1103/PhysRevC.66.054312

Finite size effect on the strength function in a random matrix analysis

Jianzhong Gu, Lei Gao, Bambi Hu

Research output: Contribution to journal › Journal article › peer-review

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Abstract

We consider a single state stochastically coupled to its stochastic background states which are generated by the Gaussian orthogonal ensemble of random matrices. The strength function of the single state is investigated systematically when the dimension of the random matrices is finite. As the finite size effects, the double-peak distribution and transition of the strength function from a squeezed-Breit-Wigner to a ladder-shaped distribution are found and analyzed. Meanwhile the domain for validity of the Breit-Wigner distribution is given.

Original language	English
Article number	054312
Number of pages	6
Journal	Physical Review C
Volume	66
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevC.66.054312
Publication status	Published - 27 Nov 2002

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abstract = "We consider a single state stochastically coupled to its stochastic background states which are generated by the Gaussian orthogonal ensemble of random matrices. The strength function of the single state is investigated systematically when the dimension of the random matrices is finite. As the finite size effects, the double-peak distribution and transition of the strength function from a squeezed-Breit-Wigner to a ladder-shaped distribution are found and analyzed. Meanwhile the domain for validity of the Breit-Wigner distribution is given.",

author = "Jianzhong Gu and Lei Gao and Bambi Hu",

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AU - Gao, Lei

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N2 - We consider a single state stochastically coupled to its stochastic background states which are generated by the Gaussian orthogonal ensemble of random matrices. The strength function of the single state is investigated systematically when the dimension of the random matrices is finite. As the finite size effects, the double-peak distribution and transition of the strength function from a squeezed-Breit-Wigner to a ladder-shaped distribution are found and analyzed. Meanwhile the domain for validity of the Breit-Wigner distribution is given.

AB - We consider a single state stochastically coupled to its stochastic background states which are generated by the Gaussian orthogonal ensemble of random matrices. The strength function of the single state is investigated systematically when the dimension of the random matrices is finite. As the finite size effects, the double-peak distribution and transition of the strength function from a squeezed-Breit-Wigner to a ladder-shaped distribution are found and analyzed. Meanwhile the domain for validity of the Breit-Wigner distribution is given.

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Finite size effect on the strength function in a random matrix analysis

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