State Densities of Deformed Nuclei Based on Axisymmetric Harmonic Oscillator Potential

YANG Xian-Jun; FAN Xi-Pei

Chinese Physics C> 1992, Vol. 16> Issue(5) : 431-438

State Densities of Deformed Nuclei Based on Axisymmetric Harmonic Oscillator Potential

YANG Xian-Jun ^, ,
FAN Xi-Pei

Physics Department,Guizhou Institute for Nationalities,Guiyang 550025

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Abstract：
On the premise of considering Pauli exclusion principle strictly,we have obtained an exact general formula of multiparticle and multi-hole state densities for any single-particle Hamiltonian.Besides,under the semi-classical Thomas-Fermi approximation,for deformed nuclei.we have derived a completely analytic expression of state densities based on axisymmetric harmonic oscillator potential.By means of this expression,we have calculated the state densities of g_1p1h,g_1p2h,g_2p1h,g_2p2h and their corresponding cumulative state densities of N_1p1h,N_1p2h,N_2p1h,N_2p2h,and made comparisons with the results based on the three-dimensional linear harmonic oscillator potential.The results indicate that for medium-heavy nuclei,deformation parameter has a great effect on state densities.

References

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YANG Xian-Jun and FAN Xi-Pei. State Densities of Deformed Nuclei Based on Axisymmetric Harmonic Oscillator Potential[J]. Chinese Physics C, 1992, 16(5): 431-438.

YANG Xian-Jun and FAN Xi-Pei. State Densities of Deformed Nuclei Based on Axisymmetric Harmonic Oscillator Potential[J]. Chinese Physics C, 1992, 16(5): 431-438. shu

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Received: 1900-01-01
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

State Densities of Deformed Nuclei Based on Axisymmetric Harmonic Oscillator Potential

Corresponding author: YANG Xian-Jun,

Physics Department,Guizhou Institute for Nationalities,Guiyang 550025

Received Date: 1900-01-01

Accepted Date: 1900-01-01

Available Online: 1992-05-05

Abstract: On the premise of considering Pauli exclusion principle strictly,we have obtained an exact general formula of multiparticle and multi-hole state densities for any single-particle Hamiltonian.Besides,under the semi-classical Thomas-Fermi approximation,for deformed nuclei.we have derived a completely analytic expression of state densities based on axisymmetric harmonic oscillator potential.By means of this expression,we have calculated the state densities of g_1p1h,g_1p2h,g_2p1h,g_2p2h and their corresponding cumulative state densities of N_1p1h,N_1p2h,N_2p1h,N_2p2h,and made comparisons with the results based on the three-dimensional linear harmonic oscillator potential.The results indicate that for medium-heavy nuclei,deformation parameter has a great effect on state densities.

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State Densities of Deformed Nuclei Based on Axisymmetric Harmonic Oscillator Potential

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