CDCC calculations of fusion of 6Li with targets 144Sm and 154Sm:effect of resonance states

  • Continuum Discretized Coupled-Channel (CDCC) model calculations of total, complete and incomplete fusion cross sections for reactions of the weakly bound 6Li with 144,154Sm targets at energies around the Coulomb barrier are presented. In the cluster structure frame of 6Li→α+d, short-range absorption potentials are considered for the interactions between the ground state of the projectile 6Li and α-d fragments with the target. In order to separately calculate complete and incomplete fusion and to reduce double-counting, the corresponding absorption potentials are chosen to be of different range. Couplings to low-lying excited states 2+,3- of 144Sm and 2+,4+ of 154Sm are included. So, the effect on total fusion from the excited states of the target is investigated. Similarly, the effect on fusion due to couplings to resonance breakup states of 6Li, namely, l=2, Jπ=3+,2+,1+ is also calculated. The latter effect is determined by using two approaches, (a) by considering only resonance state couplings and (b) by omitting these states from the full discretized energy space. Among other things, it is found that both resonance and non-resonance continuum breakup couplings produce fusion suppression at all the energies considered.
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    [22] G. R. Kelly, N. J. Davis, R. P. Ward et al, Phys. Rev. C, 63:024601(2000)
    [23] A. Pakou, N. Alamanos, G. Gillibert et al, Phys. Rev. C, 69:054602(2004)
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    [29] J. Rangel, J. Lubian, L. F. Canto et al, Phys. Rev. C 93:054610(2016)
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    [34] Y. D. Fang, P. R. S. Gomes, J. Lubian et al, Phys. Rev. C, 91:014608(2015)
    [35] C. L. Guo, G. L. Zhang, S. P. Hu et al, Phys. Rev. C, 92:014615(2015)
    [36] M. F. Guo, G. L Zhang, P. R. S. Gomes et al, Phys. Rev. C, 94:044605(2016)
    [37] Bing Wang, Wei-Juan Zhao, P. R. S. Gomes et al, Phys. Rev. C, 90:034612(2014)
    [38] Bing Wang, Wei-Juan Zhao, A. Diaz-Torres et al, Phys. Rev. C, 93:014615(2016)
    [39] A. Diaz-Torres and I. J. Thompson, Phys. Rev. C, 65:024606(2002)
    [40] K. Hagino, A. Vitturi, C. H. Dasso et al, Phys. Rev. C, 61:037602(2000)
    [41] K. Rusek, N. Alamanos, N. Keeley et al, Phys. Rev. C, 70:014603(2004)
    [42] H. D. Marta, L. F. Canto, R. Donangelo, Phys. Rev. C, 89:034625(2014)
    [43] S. Hashimoto, K. Ogata, S. Chiba et al, Prog. of Theor. Phys., 122:1291(2009)
    [44] Maddalena Boselli and Alexis Diaz-Torres, J. Phys. G, Nucl. Part. Phys., 41:094001(2014)
    [45] M. Boselli and A. Diaz-Torres, Phys. Rev. C, 92:044610(2015)
    [46] A. Diaz-Torres, D. J. Hinde, J. A. Tostevin et al, Phys. Rev. Lett., 98:152701(2007)
    [47] A. Diaz-Torres, J. Phys. G, Nucl. Part. Phys., 37:075109(2010)
    [48] A. Diaz-Torres, D. Quraishi, unpublished
    [49] A. Diaz-Torres, I. J. Thompson, and C. Beck, Phys. Rev. C, 68:044607(2003)
    [50] V. V. Parkar, V. Jha, and S. Kailas, Phys. Rev. C, 94:024609(2016)
    [51] D. H. Luong, M. Dasgupta, D. J. Hinde et al, Phys. Rev. C, 88:034609(2013)
    [52] A. Gmez Camacho, A. Diaz-Torres, P. R. S. Gomes et al, Phys. Rev. C, 91:014607(2015)
    [53] A. Gmez Camacho, A. Diaz-Torres, P. R. S. Gomes, and J. Lubian, Phys. Rev. C, 93:024604(2016)
    [54] I. J. Thompson, Comput. Phys. Rep., 7:167(1988)
    [55] M. Gmez-Ramos and A. M. Moro, Phys. Rev. C, 95:034609(2017)
    [56] A. Woodard, J. Figueira, D. Otomar et al, Nucl. Phys. A, 873:17(2012)
    [57] H. An and C. Cai, Phys. Rev. C, 73:054605(2006)
    [58] L. C. Chamon, D. Pereira, M. S. Hussein et al, Phys. Rev. Lett., 79:5218(1997)
    [59] L. C. Chamon B. V. Carlson, L. R. Gasques et al, Phys. Rev. C, 66:014610(2002)
    [60] S. Raman, C. W. Nestor Jr, and P. Tikkanem, At. Data Nucl. Data Tables, 78, 1(2001)
    [61] T. Kibedi and R. H. Spear, At. Data Nucl. Data Tables, 80:35(2001)
    [62] J. R. Leigh, M. Dasgupta, D. J. Hinde et al, Phys. Rev. C, 52:3151(1995)
  • [1] L. F. Canto, P. R. S. Gomes, R. Donangelo et al, Phys. Rep., 424:1(2004)
    [2] J. F. Liang, C. Signorini, Int. J. Mod. Phys. E, 14:1121(2005)
    [3] N. Keeley, R. Raabe, N. Alamanos et al, Prog. Part. Nucl. Sci., 59:579(2007)
    [4] L.F. Canto, P.R.S. Gomes, R. Donangelo et al, Phys. Rep., 596:1(2015)
    [5] P. R. S. Gomes, J. Lubian, L. F. Canto et al, Few-body Systems, 57:165(2016)
    [6] M. Dasgupta, D. J. Hinde, R. D. Butt et al, Phys. Rev. Lett., 82:1395(1999)
    [7] M. Dasgupta, D. J. Hinde, K. Hagino et al, Phys. Rev. C, 66:041602(R) (2002)
    [8] M. Dasgupta, P. R. S. Gomes, D. J. Hinde et al, Phys. Rev. C, 70:024606(2004)
    [9] C. Signorini, Z. H. Liu, Z. C. Li et al, Eur. Phys. J. A, 5:7(1999)
    [10] P. R. S. Gomes, I. Padron, E. Crema et al, Phys. Lett. B, 634:356(2006)
    [11] P. R. S. Gomes, I. Padron, E. Crema et al, Phys. Rev. C, 73:064606(2006)
    [12] Y. Sakuragi, M. Yahiro, and M. Kamimura, Prog. Theor. Phys. Suppl., 89:1(1986)
    [13] Y. Sakuragi, M. Yahiro, and M. Kamimura, Prog. Theor. Phys., 70:1047(1983)
    [14] N. Austern, Y. Iseri, M. Kamimura et al, Phys. Rep., 154:125(1987)
    [15] C. Beck, N. Keeley, A. Diaz-Torres, Phys. Rev. C, 75:054605(2007)
    [16] J. P. Fernandez-Garcia, M. A. G. Alvarez, A. M. Moro et al, Phys. Lett. B, 693:310(2010)
    [17] K. Zerva, N. Patronis, A. Pakou et al, Phys. Rev. C, 80:017601(2009)
    [18] K. Rusek, N. Keeley, A. Pakou et al, Nucl. Phys. A, 2007, 784:13(2007)
    [19] N. Keeley, R. S. Mackintosh, and C. Beck, Nucl. Phys. A, 380:1(2010)
    [20] N. Keeley and K. Rusek, Phys. Lett. B, 375:9(1996)
    [21] D. R. Otomar, J. Lubian, and P. R. S. Gomes, Eur. Phys. J. A., 46:285(2010)
    [22] G. R. Kelly, N. J. Davis, R. P. Ward et al, Phys. Rev. C, 63:024601(2000)
    [23] A. Pakou, N. Alamanos, G. Gillibert et al, Phys. Rev. C, 69:054602(2004)
    [24] A. Pakou, K. Rusek, N. Alamanos et al, Eur. Phys. J. A., 39:187(2009)
    [25] D. R. Otomar, J. Lubian, P. R. S. Gomes et al, Phys. Rev. C, 80:034614(2009)
    [26] L. F. Canto, J. Lubian, P. R. S. Gomes et al, Phys. Rev. C, 80:047601(2009)
    [27] J. Lubian, T. Correa, E. F. Aguilera et al, Phys. Rev. C, 79:064605(2009)
    [28] B. Paes, J. Lubian, P. R. S. Gomes et al, Nucl. Phys. A, 890:1(2012)
    [29] J. Rangel, J. Lubian, L. F. Canto et al, Phys. Rev. C 93:054610(2016)
    [30] S. P. Hu, G. L. Zhang, J. C. Yang et al, Phys. Rev. C, 91:044619(2015)
    [31] P. K. Rath, S. Santra, N. L. Singh et al, Phys. Rev. C, 79:051601(2009)
    [32] P. K. Rath, S. Santra, N. L. Singh et al, Nucl. Phys. A, 874:14(2012)
    [33] N. T. Zhang, D. Y. Fang, P. R. S. Gomes et al, Phys. Rev. C, 90:024621(2014)
    [34] Y. D. Fang, P. R. S. Gomes, J. Lubian et al, Phys. Rev. C, 91:014608(2015)
    [35] C. L. Guo, G. L. Zhang, S. P. Hu et al, Phys. Rev. C, 92:014615(2015)
    [36] M. F. Guo, G. L Zhang, P. R. S. Gomes et al, Phys. Rev. C, 94:044605(2016)
    [37] Bing Wang, Wei-Juan Zhao, P. R. S. Gomes et al, Phys. Rev. C, 90:034612(2014)
    [38] Bing Wang, Wei-Juan Zhao, A. Diaz-Torres et al, Phys. Rev. C, 93:014615(2016)
    [39] A. Diaz-Torres and I. J. Thompson, Phys. Rev. C, 65:024606(2002)
    [40] K. Hagino, A. Vitturi, C. H. Dasso et al, Phys. Rev. C, 61:037602(2000)
    [41] K. Rusek, N. Alamanos, N. Keeley et al, Phys. Rev. C, 70:014603(2004)
    [42] H. D. Marta, L. F. Canto, R. Donangelo, Phys. Rev. C, 89:034625(2014)
    [43] S. Hashimoto, K. Ogata, S. Chiba et al, Prog. of Theor. Phys., 122:1291(2009)
    [44] Maddalena Boselli and Alexis Diaz-Torres, J. Phys. G, Nucl. Part. Phys., 41:094001(2014)
    [45] M. Boselli and A. Diaz-Torres, Phys. Rev. C, 92:044610(2015)
    [46] A. Diaz-Torres, D. J. Hinde, J. A. Tostevin et al, Phys. Rev. Lett., 98:152701(2007)
    [47] A. Diaz-Torres, J. Phys. G, Nucl. Part. Phys., 37:075109(2010)
    [48] A. Diaz-Torres, D. Quraishi, unpublished
    [49] A. Diaz-Torres, I. J. Thompson, and C. Beck, Phys. Rev. C, 68:044607(2003)
    [50] V. V. Parkar, V. Jha, and S. Kailas, Phys. Rev. C, 94:024609(2016)
    [51] D. H. Luong, M. Dasgupta, D. J. Hinde et al, Phys. Rev. C, 88:034609(2013)
    [52] A. Gmez Camacho, A. Diaz-Torres, P. R. S. Gomes et al, Phys. Rev. C, 91:014607(2015)
    [53] A. Gmez Camacho, A. Diaz-Torres, P. R. S. Gomes, and J. Lubian, Phys. Rev. C, 93:024604(2016)
    [54] I. J. Thompson, Comput. Phys. Rep., 7:167(1988)
    [55] M. Gmez-Ramos and A. M. Moro, Phys. Rev. C, 95:034609(2017)
    [56] A. Woodard, J. Figueira, D. Otomar et al, Nucl. Phys. A, 873:17(2012)
    [57] H. An and C. Cai, Phys. Rev. C, 73:054605(2006)
    [58] L. C. Chamon, D. Pereira, M. S. Hussein et al, Phys. Rev. Lett., 79:5218(1997)
    [59] L. C. Chamon B. V. Carlson, L. R. Gasques et al, Phys. Rev. C, 66:014610(2002)
    [60] S. Raman, C. W. Nestor Jr, and P. Tikkanem, At. Data Nucl. Data Tables, 78, 1(2001)
    [61] T. Kibedi and R. H. Spear, At. Data Nucl. Data Tables, 80:35(2001)
    [62] J. R. Leigh, M. Dasgupta, D. J. Hinde et al, Phys. Rev. C, 52:3151(1995)
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A. Gómez Camacho, J. Lubian, H. Q. Zhang and Shan-Gui Zhou. CDCC calculations of fusion of 6Li with targets 144Sm and 154Sm:effect of resonance states[J]. Chinese Physics C, 2017, 41(12): 124103. doi: 10.1088/1674-1137/41/12/124103
A. Gómez Camacho, J. Lubian, H. Q. Zhang and Shan-Gui Zhou. CDCC calculations of fusion of 6Li with targets 144Sm and 154Sm:effect of resonance states[J]. Chinese Physics C, 2017, 41(12): 124103.  doi: 10.1088/1674-1137/41/12/124103 shu
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Received: 2017-07-20
Revised: 2017-09-15
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    A. Gmez Camacho from CONACYT, Mxico, J. Lubian from CNPq, FAPERJ, Pronex, Brazil. S.G.Z was partly supported by the NSF of China (11120101005, 11275248, 11525524, 11621131001, 11647601, 11711540016), 973 Program of China (2013CB834400) and the Key Research Program of Frontier Sciences of CAS. H.Q.Z. from NSF China (11375266)

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CDCC calculations of fusion of 6Li with targets 144Sm and 154Sm:effect of resonance states

  • 1.  Departamento de Aceleradores Instituto Nacional de Investigaciones Nucleares, Apartado Postal 18-1027, C. P. 11801, Mé
  • 2.  Instituto de Fisica Universidade Federal Fluminense, Avenida Litoranea s/n, Gragoatá
  • 3. China Institute of Atomic Energy, Beijing 102413, China
  • 4. Department of Technical Physics, Beijing University, Beijing 100871, China
  • 5. CAS Key Laboratory of Frontiers of Theoretical Physics Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
  • 6. Center of Theoretical Nuclear Physics National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China
  • 7. Synergetic Innovation Center for Quantum Effects and Application Hunan Normal University, Changsha 410081, China
  • 8. School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
Fund Project:  A. Gmez Camacho from CONACYT, Mxico, J. Lubian from CNPq, FAPERJ, Pronex, Brazil. S.G.Z was partly supported by the NSF of China (11120101005, 11275248, 11525524, 11621131001, 11647601, 11711540016), 973 Program of China (2013CB834400) and the Key Research Program of Frontier Sciences of CAS. H.Q.Z. from NSF China (11375266)

Abstract: Continuum Discretized Coupled-Channel (CDCC) model calculations of total, complete and incomplete fusion cross sections for reactions of the weakly bound 6Li with 144,154Sm targets at energies around the Coulomb barrier are presented. In the cluster structure frame of 6Li→α+d, short-range absorption potentials are considered for the interactions between the ground state of the projectile 6Li and α-d fragments with the target. In order to separately calculate complete and incomplete fusion and to reduce double-counting, the corresponding absorption potentials are chosen to be of different range. Couplings to low-lying excited states 2+,3- of 144Sm and 2+,4+ of 154Sm are included. So, the effect on total fusion from the excited states of the target is investigated. Similarly, the effect on fusion due to couplings to resonance breakup states of 6Li, namely, l=2, Jπ=3+,2+,1+ is also calculated. The latter effect is determined by using two approaches, (a) by considering only resonance state couplings and (b) by omitting these states from the full discretized energy space. Among other things, it is found that both resonance and non-resonance continuum breakup couplings produce fusion suppression at all the energies considered.

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