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Isospin-dependent nucleon-nucleon cross section and the collective flow of nucleons in heavy-ion collision at intermediate energy

Zhu Yu-Lan Wang Yan-Yan Xing Yong-Zhong

Isospin-dependent nucleon-nucleon cross section and the collective flow of nucleons in heavy-ion collision at intermediate energy

Zhu Yu-Lan, Wang Yan-Yan, Xing Yong-Zhong
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  • In this paper, the influences of the different forms of nucleon-nucleon (NN) cross sections on the rapidity distributions and the in-plane flows of nucleons in reactions 60Ca+60Ca and 60Ni+60Ni are studied by using IBUU04 transport model with the moment-dependent symmetry potential. The calculation results indicate that (1) the discrepancies of the rapidity distributions and in-plane flows corresponding to different forms of NN cross sections are large, (2) the sensitivity of the in-plane flow to the NN cross section still holds when the new form of moment-dependent symmetry energy is adopted, and (3) the influence of the N/P ratio of reaction systems on the transverse flow calculated with a certain NN cross section is more obvious when the incident energy is near the balance energy.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 10575075, 10447006, 10435080).
    [1]

    Li B A 1993 Phys. Rev. C 48 2415

    [2]

    Li Q F, Li Z X, Mao G J 2000 Phys. Rev. C 62 014606

    [3]

    Li Q F, Li Z X, Zhao E G 2004 Phys. Rev. C 69 017601

    [4]

    Westfall G D, Bauer W, Craig D, Cronqvist M 1993 Phys. Rev. Lett. 71 1986

    [5]

    Xu H M 1991 Phys. Rev. Lett. 67 2769

    [6]

    Xu H M 1992 Phys. Rev. C 46 R389

    [7]

    Zhao Q, Chen B, Liu J Y, Zhang F S, Wang S J, Chen L W, Zuo W 2000 High Energy Physics And Nuclear Physics 24 426 (in Chinese) [赵强, 陈波, 刘建业, 张丰收, 王顺金, 陈列文, 左维 2000 高能物理与核物理 24 426]

    [8]

    Liu J Y, Guo W J, Zuo W, Li X G 2008 Acta Phys. Sin. 57 5458 (in Chinese) [刘建业, 郭文军, 左维, 李希国 2008 物理学报 57 5458]

    [9]

    Li B A, Das C B, Gupta S D 2004 Phys. Rev. C 69 011603

    [10]

    Chen L W, Ko C M, Li B A 2004 Phys. Rev. C 69 054606

    [11]

    Yong G C, Li B A, Chen L W, Zuo W 2006 Acta Phys. Sin. 55 5166 (in Chinese) [雍高产, 李宝安, 陈列文, 左维 2006 物理学报 55 5166]

    [12]

    Liu J Y, Guo W J 2010 Acta Phys. Sin. 59 6933 (in Chinese) [刘建业, 郭文军 2010 物理学报 59 6933]

    [13]

    Li B A, Chen L W, Ko C M 2008 Phys. Rep. 464 113

    [14]

    Li B A, Ko C M, Baur W 1998 Int. J. Mod. Phys. E 7 147

    [15]

    Chen K, Fraenkel Z, Friedlander G, Grover 1968 Phys. Rev. 166 949

    [16]

    Chen L W, Zhang X D, Ge L X 1996 High Energy Physics and Nuclear Physic 20 1091 (in Chinese) [陈列文, 张晓东, 葛凌霄 1996 高能物理与核物理 20 1091]

    [17]

    Klakow D, Welke G, Bauer W 1993 Phys. Rev. C 48 1982

    [18]

    Zhang F S, Li W F, Jin G M 2001 Progress in Physics 21 469 (in Chinese) [张丰收, 李文飞, 靳根明 2001 物理学进展 21 469]

    [19]

    Li G Q, Machleidt R 1993 Phys. Rev. C 48 1702

    [20]

    Li G Q, Machleidt R 1994 Phys. Rev. C 49 566

    [21]

    Cai X Z, Feng J, Shen W Q, Ma Y G 1998 High Energy Physics and Nuclear Physics 22 830 (in Chinese) [蔡翔舟, 冯军, 沈文庆, 马余刚 1998 高能物理与核物理 22 830]

    [22]

    Cai X Z, Shen W Q 2001 Progress in Physics 21 278 (in Chinese) [蔡翔舟, 沈文庆 2001 物理学进展 21 278]

    [23]

    Li B A, Das C B, Gupta S D, Gale C 2004 Phys. Rev. C 69 011603

    [24]

    Das C B, Gupta S D, Gale C, Li B A 2003 Phys.Rev. C 67 034611

    [25]

    Yong G C, Chen L W, Li B A, Zuo W 2006 High Energy Physics and Nuclear Physics 30 642 (in Chinese) [雍高产, 陈列文, 李宝安, 左维 2006 高能物理与核物理 30 642]

    [26]

    Chen L W, Zhang F S, Zeng X H, Jin G M 1998 High Energy Physics and Nuclear Physics 22 1035 (in Chinese) [陈列文, 张丰收, 曾祥华, 勒根明 1998 高能物理与核物理 22 1035]

    [27]

    Li B A, Ren Z Z, Ko C M, Yennello S J 1996 Phys. Rev. Lett. 76 4492

    [28]

    Liu J Y, Guo W J, Wang S J 2001 Phys. Rev. Lett. 86 975

    [29]

    Kumar S, Kumar S 2010 Phys. Rev. C 81 014601

    [30]

    Chen J Y 2006 Ph. D. Dissertation (Lanzhou: Lanzhou University) (in Chinese) [陈继延 2006 博士学位论文(兰州:兰州大学)]

    [31]

    Kumar S, Chugh R 2010 arXiv: 1009. 5464 v1 [Nucl-th]

    [32]

    Zhang Y X, Li Z X, Danielewicz P 2007 Phys. Rev. C 75 034615

    [33]

    Kumar S, Rajni J, Kumar S 2010 arXiv: 1009. 5470 vl [Nucl-th]

    [34]

    Sood A D, Puri R K 2004 Phys. Rev. C 69 054612

    [35]

    Sood A D, Puri R K, Aichelin J 2004 Phys. Lett. B 594 260

    [36]

    Sood A D, Puri R K 2009 Phys. Rev. C 79 064618

    [37]

    Chen L W, Zhang F S, Jin G M 1998 Phys. Rev. C 58 2283

    [38]

    Li Q F, Li Z X, Soff S 2006 J. Phys. G: Nucl. Part. Phys. 32 407

    [39]

    Li B A, Danielewicz P, Lynchl W G 2005 Phys. Rev. C 71 054603

    [40]

    Gautam S 2011 arXiv: 1105. 0526 vl [Nucl-th]

    [41]

    Pak R, Li B A, Benenson W 1997 Phys. Rev. Lett. 78 1026

    [42]

    Pak R, Benenson W, Bjarki O 1997 Phys. Rev. Lett. 78 1022

  • [1]

    Li B A 1993 Phys. Rev. C 48 2415

    [2]

    Li Q F, Li Z X, Mao G J 2000 Phys. Rev. C 62 014606

    [3]

    Li Q F, Li Z X, Zhao E G 2004 Phys. Rev. C 69 017601

    [4]

    Westfall G D, Bauer W, Craig D, Cronqvist M 1993 Phys. Rev. Lett. 71 1986

    [5]

    Xu H M 1991 Phys. Rev. Lett. 67 2769

    [6]

    Xu H M 1992 Phys. Rev. C 46 R389

    [7]

    Zhao Q, Chen B, Liu J Y, Zhang F S, Wang S J, Chen L W, Zuo W 2000 High Energy Physics And Nuclear Physics 24 426 (in Chinese) [赵强, 陈波, 刘建业, 张丰收, 王顺金, 陈列文, 左维 2000 高能物理与核物理 24 426]

    [8]

    Liu J Y, Guo W J, Zuo W, Li X G 2008 Acta Phys. Sin. 57 5458 (in Chinese) [刘建业, 郭文军, 左维, 李希国 2008 物理学报 57 5458]

    [9]

    Li B A, Das C B, Gupta S D 2004 Phys. Rev. C 69 011603

    [10]

    Chen L W, Ko C M, Li B A 2004 Phys. Rev. C 69 054606

    [11]

    Yong G C, Li B A, Chen L W, Zuo W 2006 Acta Phys. Sin. 55 5166 (in Chinese) [雍高产, 李宝安, 陈列文, 左维 2006 物理学报 55 5166]

    [12]

    Liu J Y, Guo W J 2010 Acta Phys. Sin. 59 6933 (in Chinese) [刘建业, 郭文军 2010 物理学报 59 6933]

    [13]

    Li B A, Chen L W, Ko C M 2008 Phys. Rep. 464 113

    [14]

    Li B A, Ko C M, Baur W 1998 Int. J. Mod. Phys. E 7 147

    [15]

    Chen K, Fraenkel Z, Friedlander G, Grover 1968 Phys. Rev. 166 949

    [16]

    Chen L W, Zhang X D, Ge L X 1996 High Energy Physics and Nuclear Physic 20 1091 (in Chinese) [陈列文, 张晓东, 葛凌霄 1996 高能物理与核物理 20 1091]

    [17]

    Klakow D, Welke G, Bauer W 1993 Phys. Rev. C 48 1982

    [18]

    Zhang F S, Li W F, Jin G M 2001 Progress in Physics 21 469 (in Chinese) [张丰收, 李文飞, 靳根明 2001 物理学进展 21 469]

    [19]

    Li G Q, Machleidt R 1993 Phys. Rev. C 48 1702

    [20]

    Li G Q, Machleidt R 1994 Phys. Rev. C 49 566

    [21]

    Cai X Z, Feng J, Shen W Q, Ma Y G 1998 High Energy Physics and Nuclear Physics 22 830 (in Chinese) [蔡翔舟, 冯军, 沈文庆, 马余刚 1998 高能物理与核物理 22 830]

    [22]

    Cai X Z, Shen W Q 2001 Progress in Physics 21 278 (in Chinese) [蔡翔舟, 沈文庆 2001 物理学进展 21 278]

    [23]

    Li B A, Das C B, Gupta S D, Gale C 2004 Phys. Rev. C 69 011603

    [24]

    Das C B, Gupta S D, Gale C, Li B A 2003 Phys.Rev. C 67 034611

    [25]

    Yong G C, Chen L W, Li B A, Zuo W 2006 High Energy Physics and Nuclear Physics 30 642 (in Chinese) [雍高产, 陈列文, 李宝安, 左维 2006 高能物理与核物理 30 642]

    [26]

    Chen L W, Zhang F S, Zeng X H, Jin G M 1998 High Energy Physics and Nuclear Physics 22 1035 (in Chinese) [陈列文, 张丰收, 曾祥华, 勒根明 1998 高能物理与核物理 22 1035]

    [27]

    Li B A, Ren Z Z, Ko C M, Yennello S J 1996 Phys. Rev. Lett. 76 4492

    [28]

    Liu J Y, Guo W J, Wang S J 2001 Phys. Rev. Lett. 86 975

    [29]

    Kumar S, Kumar S 2010 Phys. Rev. C 81 014601

    [30]

    Chen J Y 2006 Ph. D. Dissertation (Lanzhou: Lanzhou University) (in Chinese) [陈继延 2006 博士学位论文(兰州:兰州大学)]

    [31]

    Kumar S, Chugh R 2010 arXiv: 1009. 5464 v1 [Nucl-th]

    [32]

    Zhang Y X, Li Z X, Danielewicz P 2007 Phys. Rev. C 75 034615

    [33]

    Kumar S, Rajni J, Kumar S 2010 arXiv: 1009. 5470 vl [Nucl-th]

    [34]

    Sood A D, Puri R K 2004 Phys. Rev. C 69 054612

    [35]

    Sood A D, Puri R K, Aichelin J 2004 Phys. Lett. B 594 260

    [36]

    Sood A D, Puri R K 2009 Phys. Rev. C 79 064618

    [37]

    Chen L W, Zhang F S, Jin G M 1998 Phys. Rev. C 58 2283

    [38]

    Li Q F, Li Z X, Soff S 2006 J. Phys. G: Nucl. Part. Phys. 32 407

    [39]

    Li B A, Danielewicz P, Lynchl W G 2005 Phys. Rev. C 71 054603

    [40]

    Gautam S 2011 arXiv: 1105. 0526 vl [Nucl-th]

    [41]

    Pak R, Li B A, Benenson W 1997 Phys. Rev. Lett. 78 1026

    [42]

    Pak R, Benenson W, Bjarki O 1997 Phys. Rev. Lett. 78 1022

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Publishing process
  • Received Date:  23 August 2011
  • Accepted Date:  28 December 2011
  • Published Online:  20 July 2012

Isospin-dependent nucleon-nucleon cross section and the collective flow of nucleons in heavy-ion collision at intermediate energy

  • 1. College of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China;
  • 2. Department of Physics, Tianshui Normal University, Tianshui 741000, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 10575075, 10447006, 10435080).

Abstract: In this paper, the influences of the different forms of nucleon-nucleon (NN) cross sections on the rapidity distributions and the in-plane flows of nucleons in reactions 60Ca+60Ca and 60Ni+60Ni are studied by using IBUU04 transport model with the moment-dependent symmetry potential. The calculation results indicate that (1) the discrepancies of the rapidity distributions and in-plane flows corresponding to different forms of NN cross sections are large, (2) the sensitivity of the in-plane flow to the NN cross section still holds when the new form of moment-dependent symmetry energy is adopted, and (3) the influence of the N/P ratio of reaction systems on the transverse flow calculated with a certain NN cross section is more obvious when the incident energy is near the balance energy.

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