Study of the total reaction cross section via QMD

YANG Lin-Meng; GUO Wen-Jun; ZHANG Fan; NI Sheng

doi:10.1088/1674-1137/37/10/104101

Chinese Physics C> 2013, Vol. 37> Issue(10) : 104101 DOI: 10.1088/1674-1137/37/10/104101

Study of the total reaction cross section via QMD

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This paper presents a new empirical formula to calculate the average nucleon-nucleon (N-N) collision number for the total reaction cross sections (σ_R). Based on the initial average N-N collision number calculated by quantum molecular dynamics (QMD), quantum correction and Coulomb correction are taken into account within it. The average N-N collision number is calculated by this empirical formula. The total reaction cross sections are obtained within the framework of the Glauber theory. σ_R of ²³Al+¹²C, ²⁴Al+¹²C, ²⁵Al+¹²C, ²⁶Al+¹²C and ²⁷Al+¹²C are calculated in the range of low energy. We also calculate the σ_R of ²⁷Al+¹²C with different incident energies. The calculated σ_R are compared with the experimental data and the results of Glauber theory including the σ_R of both spherical nuclear and deformed nuclear. It is seen that the calculated σ_R are larger than σ_R of spherical nuclear and smaller than σ_R of deformed nuclear, whereas the results agree well with the experimental data in low-energy range.

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YANG Lin-Meng, GUO Wen-Jun, ZHANG Fan and NI Sheng. Study of the total reaction cross section via QMD[J]. Chinese Physics C, 2013, 37(10): 104101. doi: 10.1088/1674-1137/37/10/104101

YANG Lin-Meng, GUO Wen-Jun, ZHANG Fan and NI Sheng. Study of the total reaction cross section via QMD[J]. Chinese Physics C, 2013, 37(10): 104101. doi: 10.1088/1674-1137/37/10/104101 shu

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Received: 2012-12-24
Revised: 2013-01-22

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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

Study of the total reaction cross section via QMD

Corresponding author: GUO Wen-Jun,

Received Date: 2012-12-24

Accepted Date: 2013-01-22

Available Online: 2013-10-05

Abstract: This paper presents a new empirical formula to calculate the average nucleon-nucleon (N-N) collision number for the total reaction cross sections (σ_R). Based on the initial average N-N collision number calculated by quantum molecular dynamics (QMD), quantum correction and Coulomb correction are taken into account within it. The average N-N collision number is calculated by this empirical formula. The total reaction cross sections are obtained within the framework of the Glauber theory. σ_R of ²³Al+¹²C, ²⁴Al+¹²C, ²⁵Al+¹²C, ²⁶Al+¹²C and ²⁷Al+¹²C are calculated in the range of low energy. We also calculate the σ_R of ²⁷Al+¹²C with different incident energies. The calculated σ_R are compared with the experimental data and the results of Glauber theory including the σ_R of both spherical nuclear and deformed nuclear. It is seen that the calculated σ_R are larger than σ_R of spherical nuclear and smaller than σ_R of deformed nuclear, whereas the results agree well with the experimental data in low-energy range.

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