Screening effects on 12C+12C fusion reaction

  • One of the important reactions for nucleosynthesis in the carbon burning phase in high-mass stars is the 12C+12C fusion reaction. In this study, we investigate the influences of the nuclear potentials and screening effect on astrophysically interesting 12C+12C fusion reaction observables at sub-barrier energies by using the microscopic α-α double folding cluster (DFC) potential and the proximity potential. In order to model the screening effects on the experimental data, a more general exponential cosine screened Coulomb (MGECSC) potential including Debye and quantum plasma cases has been considered in the calculations for the 12C+12C fusion reaction. In the calculations of the reaction observables, the semi-classical Wentzel-Kramers-Brillouin (WKB) approach and coupled channel (CC) formalism have been used. Moreover, in order to investigate how the potentials between 12C nuclei produce molecular cluster states of 24Mg, the normalized resonant energy states of 24Mg cluster bands have been calculated for the DFC potential. By analyzing the results produced from the fusion of 12C+12C, it is found that taking into account the screening effects in terms of MGECSC is important for explaining the 12C+12C fusion data, and the microscopic DFC potential is better than the proximity potential in explaining the experimental data, also considering that clustering is dominant for the structure of the 24Mg nucleus.
      PCAS:
  • 加载中
  • [1] E. G. Adelberger, S. M. Austin, J. N. Bahcall et al, Rev. Mod. Phys., 70(4):1265(1998)
    [2] E. G. Adelberger, A. Garca, R. G. H. Robertson et al, Rev. Mod. Phys., 83(1):195(2011)
    [3] D. D. Clayton, Principles of stellar evolution and nucleosynthesis, University of Chicago Press Edition (Chicago, USA, University of Chicago Press, 1983), p. 430
    [4] D. Arnett, Supernovae and nucleosynthesis , First Edition (New Jersey, Princeton, Princeton University Press, 1996), p. 75
    [5] C. Illiadis, Nuclear Physics of Stars, Second, Revised and Enlarged Edition (Weinheim, Germany, Wiley-VCH Verlag GmbH Co., 2015), p. 400
    [6] J. R. Patterson, H. Winkler, and C. S. Zaidins, Astrophys. J., 157:367(1969)
    [7] M. G. Mazarakis, and W. E. Stephens, Phys. Rev. C, 7(4):1280(1973)
    [8] M. D. High, and B. Cujec, Nucl. Phys. A, 282 (1):181-188(1977)
    [9] K. A. Erb, R. R. Betts, S. K. Korotky et al, Phys. Rev. C, 22(2):507(1980)
    [10] K. U. Kettner, H. Lorenz-Wirzba and C. Rolfs, Z. Phys. A, 298(1):65-75(1980)
    [11] H. W. Becker, K. U. Kettner, C. Z. Rolfs et al, Z. Phys. A, 303(4):305-312(1981)
    [12] B. Dasmahapatra, B. Cujec, and F. Lahlou, Nucl. Phys. A, 384(1-2):257-272(1982)
    [13] L. J. Satkowiak, P. A. DeYoung, J. J. Kolata et al, Phys. Rev. C, 26 (5):2027(1982)
    [14] L. Barron-Palos, E. F. Aguilera, J. Aspiazu et al, Nucl. Phys. A, 779:318-332(2006)
    [15] T. Spillane, F. Raiola, C. Rolfs et al, Phys. Rev. Lett., 98(12):122501(2007)
    [16] F. Strieder, (In:Journal of Physics:Conference Series. IOP Publishing, 2010), p. 012025
    [17] X. Fang, B. Bucher, S. Almaraz-Calderon et al, (In:Journal of Physics:Conference Series. IOP Publishing, 2013), p. 012151
    [18] D. Santiago-Gonzales, (In:EPJ Web of Conferences. EDP Sciences, 2016), p. 09011
    [19] R. Kippenhahn, A. Weigert and A. Weiss, Stellar Structure and Evolution, Second Edition (Heidelberg, Berlin, Springer-Verlag, 2012), p.199
    [20] A. A. Aziz, N. Yusof, M. Z. Firihu et al, Phys. Rev. C, 91(1):015811(2015)
    [21] W. D. Arnett and J. W. Truran, Astrophys. J., 157:339(1969)
    [22] F. Strieder, J. Phys. G:Nucl. Part. Phys., 35(1):014009(2007)
    [23] E. F. Aguilera, P. Rosales, E. Martinez-Quiroz et al, Phys. Rev. C, 73(6):064601(2006)
    [24] C. L. Jiang et al., Phys. Rev. Lett., 110(7):072701(2013)
    [25] A. Diaz-Torres and M. Wiescher, (In:Journal of Physics:Conference Series. IOP Publishing, 2014), p. 012006
    [26] A. Diaz-Torres and M. Wiescher, (In:EPJ Web of Conferences. EDP Sciences, 2015), p. 02017
    [27] V. Y. Denisov, and N. A. Pilipenko, Phys. Rev. C, 81(2):025805(2010)
    [28] Q. Haider, J. Y. Shapiro and A. Sharma, Ⅱ Nuovo Cim. A (1965-1970), 106(3):343-354(1993)
    [29] F. Koyuncu and A. Soylu, Int. J. Mod. Phys. E, 26(12):1750086(2017)
    [30] F. Koyuncu, A. Soylu, and O. Bayrak, Mod. Phys. Lett. A, 32(09):1750050(2017)
    [31] V. Y. Denisov, and H. Ikezoe, Phys. Rev. C, 72(6):064613(2005)
    [32] V. Y. Denisov, and A. A. Khudenko, Phys. Rev. C, 80(3):034603(2009)
    [33] D. L. Hill, and J. A. Wheeler, Phys. Rev., 89(5):1102(1953)
    [34] G. Kocak, M. Karakoc, I. Boztosun et al, Phys. Rev. C, 81(2):024615(2010)
    [35] R. Kunz, M. Fey, M. Jaeger et al Astrophys. J., 567:643-650(2002)
    [36] E. E. Salpeter, Aust. J. Phys., 7(3):373-388(1954)
    [37] M. Lattuada, R. G. Pizzone, S. Typel et al, Astrophys. J., 562(2):1076(2001)
    [38] K. Czerski, A. Huke, A. Biller, et al, Europhys. Lett., 54(4):449(2001)
    [39] P. Quarati, and A. M. Scarfone, Astrophys. J., 666(2):1303(2007)
    [40] H. E. Dewitt, H. C. Graboske and M. S. Cooper, Astrophys. J., 181:439-456(1973)
    [41] H. C. Graboske, H. E. Dewitt, A. S. Grossman et al., Astrophys. J.,181:457-474(1973)
    [42] R. K. Wallace, S. E. Woosley and T. A. Weaver, Astrophys. J., 258:696-715(1982)
    [43] C. Carraro, A. Schfer and S. E. Koonin, Astrophys. J., 331:565-571(1988)
    [44] A. V. Gruzinov and J. N. Bahcall, Astrophys. J., 504:996-1001(1998)
    [45] L. R. Gasques, A. V. Afanasjev, E. F. Aguilera et al, Phys. Rev. C, 72(2):025806(2005)
    [46] H. J. Assenbaum, K. Langanke, and C. Rolfs, Z. Phys. A, 327(4):461-468(1987)
    [47] T. E. Liolios, Phys. Rev. C, 61(5):055802(2000)
    [48] R. L. Cooper, A. W. Steiner, and E. F. Brown, Astrophys. J., 702(1):660(2009)
    [49] C. Spilateri, C. A. Bertulani, L. Fortunato et al, Phys. Lett. B 755:275-278(2016)
    [50] M. A. Famiano, A. B. Balantekin and T. Kajino, Phys. Rev. C, 93 (4):045804(2016)
    [51] X. Yao, T. Mehen and B. Mller, Phys. Rev. C, 95(11):116002(2017)
    [52] Y. H. Chen, MNRAS, 475(1):20-26(2018)
    [53] B. Saha, P. K. Mukherjee, and G. H. Diercksen, Astron. Astrophys., 396(1):337-344(2002)
    [54] P. K. Shukla and B. Eliasson, Phys. Lett. A, 372:2897-2899(2008)
    [55] S. Paul and Y. K. Ho, Comput. Phys. Commun., 182:130133(2011)
    [56] A. Soylu, Phys. Plasmas, 19(7):072701(2012)
    [57] M. K. Bahar, and A. Soylu, Phys. Plasmas, 21 (9):092703, (2014)
    [58] G. L. Zhang, Y. J. Yao, M. F. Guo et al, Nucl. Phys. A, 951:86-96(2016)
    [59] I. Dutt, and R. K. Puri, Phys. Rev. C, 81(6):064609(2010)
    [60] J. Blocki, J. Randrup, W. J. Swiatecki et al, Ann. Phys., 105(2):427-462(1977)
    [61] B. Bucks, H. Friedrich, and C. Wheatley, Nucl. Phys. A, 275(1):246-268(1977)
    [62] M. E. A. Farid, Z. M. M. Mahmoud, and G. S. Hassan, Phys. Rev. C, 64(1):014310(2001)
    [63] G. R. Satchler, and W. G. Love, Physics Reports, 55(3):183-254(1979)
    [64] H. F. Ehrenberg et al., Phys. Rev., 113:666(1959)
    [65] A. Soylu, and O. Bayrak, Eur. Phys. J. A, 51(4):46(2015)
    [66] R. E. Langer, Phys. Rev., 51(8):669(1937)
    [67] K. Hagino, N. Rowley, and A. T. Kruppa, Comput. Phys. Commun., 123(1-3):143-152(1999)
    [68] S. E. Woosley, A. Heger, and T. A. Weaver, Rev. Mod. Phys., 74(4):1015(2002)
    [69] T. Vertse, K. F. Pal, and Z. Balogh, Comput. Phys. Commun., 27(3):309-322(1982)
    [70] B. Buck, P. D. B. Hopkins, and A. C. Merchant, Nucl. Phys. A, 513(1):75-114(1990)
  • 加载中

Get Citation
F. Koyuncu and A. Soylu. Screening effects on 12C+12C fusion reaction[J]. Chinese Physics C, 2018, 42(5): 054106. doi: 10.1088/1674-1137/42/5/054106
F. Koyuncu and A. Soylu. Screening effects on 12C+12C fusion reaction[J]. Chinese Physics C, 2018, 42(5): 054106.  doi: 10.1088/1674-1137/42/5/054106 shu
Milestone
Received: 2018-01-04
Revised: 2018-03-05
Fund

    Supported by the Turkish Science and Research Council (TBITAK) with (117R015)

Article Metric

Article Views(1352)
PDF Downloads(22)
Cited by(0)
Policy on re-use
To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

Screening effects on 12C+12C fusion reaction

    Corresponding author: F. Koyuncu,
Fund Project:  Supported by the Turkish Science and Research Council (TBITAK) with (117R015)

Abstract: One of the important reactions for nucleosynthesis in the carbon burning phase in high-mass stars is the 12C+12C fusion reaction. In this study, we investigate the influences of the nuclear potentials and screening effect on astrophysically interesting 12C+12C fusion reaction observables at sub-barrier energies by using the microscopic α-α double folding cluster (DFC) potential and the proximity potential. In order to model the screening effects on the experimental data, a more general exponential cosine screened Coulomb (MGECSC) potential including Debye and quantum plasma cases has been considered in the calculations for the 12C+12C fusion reaction. In the calculations of the reaction observables, the semi-classical Wentzel-Kramers-Brillouin (WKB) approach and coupled channel (CC) formalism have been used. Moreover, in order to investigate how the potentials between 12C nuclei produce molecular cluster states of 24Mg, the normalized resonant energy states of 24Mg cluster bands have been calculated for the DFC potential. By analyzing the results produced from the fusion of 12C+12C, it is found that taking into account the screening effects in terms of MGECSC is important for explaining the 12C+12C fusion data, and the microscopic DFC potential is better than the proximity potential in explaining the experimental data, also considering that clustering is dominant for the structure of the 24Mg nucleus.

    HTML

Reference (70)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return