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.

References

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Glauber R J. Lectures in Theoretical Physics. Edited by Brittin W E et al. New York: Interscience Publishers, 1959, I: 315[2] Urata Y, Hagino K, Sagawa H. Phys. Rev. C, 2012, 86(3): 044613[3] Ismail M, Osman M M, Gebaly H El et al. Phys. Rev. C, 2004, 69: 014606[4] Rashdam M. Phys. Rev. C, 2012, 86: 044610[5] Horiuchi W, Inakura T, Nakatsukasa T et al. Rev. C, 2012, 86: 024614[6] Aichelin J. Phys. Rep., 1991, 202(4): 233-360[7] Cozma M D. Physics Letter B, 2011, 700(2): 139-144[8] MA Y G, SHEN W Q, FANG J. Phys. Rev. C, 1993, 48(2): 850-856[9] Chiang H C, Hufner J. Nucl. Phys. A, 1980, 349: 466-482[10] Simbel M H, Hufner J, Chiang H C. Phys. Lett. B, 1980, 94(1): 11-14[11] Blatt J M, WeissKopf V F. Theoretical Nuclear Physics. New York: Wiley, 1963[12] GUO W J, JIANG H Q, LIU J Y et al. Communications in Theoretical Phys., 2003, 40(4): 577-584[13] ZHANG X D, GE L X. High Energy Physics And Nuclear Physics, 1996, 20(2): 270-276 (in Chinese)[14] CAI X Z, ZHANG H Y, SHEN W Q et al. Phys. Rev. C, 2012, 65: 024610[15] Kox S, Gamp A, Perrin C et al. Phys. Rev. C, 1987, 35(4): 1678-1691

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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_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.