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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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 _Rof ²³Al+ ¹²C, ²⁴Al+ ¹²C, ²⁵Al+ ¹²C, ²⁶Al+ ¹²C and ²⁷Al+ ¹²C are calculated in the range of low energy. We also calculate the σ _Rof ²⁷Al+ ¹²C with different incident energies. The calculated σ _Rare compared with the experimental data and the results of Glauber theory including the σ _Rof both spherical nuclear and deformed nuclear. It is seen that the calculated σ _Rare larger than σ _Rof spherical nuclear and smaller than σ _Rof 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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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_Rof²³Al+¹²C,²⁴Al+¹²C,²⁵Al+¹²C,²⁶Al+¹²C and²⁷Al+¹²C are calculated in the range of low energy. We also calculate theσ_Rof²⁷Al+¹²C with different incident energies. The calculated σ_Rare compared with the experimental data and the results of Glauber theory including the σ_Rof both spherical nuclear and deformed nuclear. It is seen that the calculated σ_Rare larger thanσ_Rof spherical nuclear and smaller thanσ_Rof deformed nuclear, whereas the results agree well with the experimental data in low-energy range.