Multi-particle and Multi-hole State Densities Based on the Harmonic Oscillator Model

Yang Xianjim; Zhang Jingshang; Zhuo Yizhong

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2024年10月30日

Chinese Physics C> 1989, Vol. 13> Issue(S4) : 425-434

Multi-particle and Multi-hole State Densities Based on the Harmonic Oscillator Model

China Institute of Atomic Energy, Beijing

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Abstract：
On the premise of considering the Pauli exclusion principle strictly, we have obtained an exact general formula of multi-particle and multi-hole state densities for any singleparticle Hamiltonian. Besides, by using the semi-classical Thomas-Fermi approximation, we have-calculated the state densities for three-dimensional linear oscillators and the state densities of 1p-10p,1h-7h and 1p1h-6p6h. We have also discussed the effect of the Pauli exclusion principle and made comparisons with the state densities of the equi-interval model generally used in the exciton model. The results indicate that the equi-interval single-particle density formula is a good approximation for the nuclear reactions induced by a nucleon.

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Yang Xianjim, Zhang Jingshang and Zhuo Yizhong. Multi-particle and Multi-hole State Densities Based on the Harmonic Oscillator Model[J]. Chinese Physics C, 1989, 13(S4): 425-434.

Yang Xianjim, Zhang Jingshang and Zhuo Yizhong. Multi-particle and Multi-hole State Densities Based on the Harmonic Oscillator Model[J]. Chinese Physics C, 1989, 13(S4): 425-434. shu

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Received: 1988-06-28

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沈阳化工大学材料科学与工程学院沈阳 110142

Multi-particle and Multi-hole State Densities Based on the Harmonic Oscillator Model

China Institute of Atomic Energy, Beijing

Received Date: 1988-06-28

Abstract: On the premise of considering the Pauli exclusion principle strictly, we have obtained an exact general formula of multi-particle and multi-hole state densities for any singleparticle Hamiltonian. Besides, by using the semi-classical Thomas-Fermi approximation, we have-calculated the state densities for three-dimensional linear oscillators and the state densities of 1p-10p,1h-7h and 1p1h-6p6h. We have also discussed the effect of the Pauli exclusion principle and made comparisons with the state densities of the equi-interval model generally used in the exciton model. The results indicate that the equi-interval single-particle density formula is a good approximation for the nuclear reactions induced by a nucleon.