Static versus energy-dependent nucleus-nucleus} potential for description of sub-barrier fusion dynamics of 816O+50112,116,120Sn reactions

  • The static and energy-dependent nucleus-nucleus potentials are simultaneously used along with the Wong formula for exploration of fusion dynamics of 816O+50112,116,120Sn reactions. The role of internal structure degrees of freedom of colliding pairs, such as inelastic surface vibrations, are examined within the context of coupled channel calculations performed using the code CCFULL. Theoretical calculations based on the static Woods-Saxon potential along with the one-dimensional Wong formula fail to address the fusion data of 816O+50112,116,120Sn reactions. Such discrepancies can be removed if one uses couplings to internal structure degrees of freedom of colliding nuclei. However, the energy-dependent Woods-Saxon potential model (EDWSP model) accurately describes the sub-barrier fusion enhancement of 816O+50112,116,120Sn reactions. Therefore, in sub-barrier fusion dynamics, energy dependence in the nucleus-nucleus potential governs barrier modification effects in a closely similar way to that of the coupled channel approach.
  • [1] Beckerman M. Rep. Prog. Phys., 1988, 51: 1047
    [2] Reisdorf W. J. Phys. G, 1994, 20: 1297
    [3] Dasgupta M et al. Annu. Rev. Nucl. Part. Sci., 1998, 48: 401
    [4] Balantekin A B, Takigawa N. Rev. Mod. Phys., 1988, 70: 77
    [5] Canto L F et al. Phys. Rep., 2006, 424: 1
    [6] Hagino K, Takigawa N. Prog. Theor. Phys., 2012, 128: 1061
    [7] Back B B et al. Rev. Mod. Phys., 2014, 86: 317
    [8] Timmers H et al. Phys. Lett. B, 1997, 399: 35
    [9] Trotta M et al. Phys. Rev. C, 2001, 65: 011601
    [10] Stefanini A M et al. Phys. Rev. C, 2007, 76: 014610
    [11] Leigh J R et al. Phys. Rev. C, 1995, 52: 3151
    [12] Prasad N V S V et al. Nucl. Phys. A, 1996, 603: 176
    [13] ZHANG H Q et al. Phys. Rev. C, 2010, 82: 054609
    [14] Newton J O et al. Phys. Rev. C, 2001, 64: 064608
    [15] Sonzogni A A et al. Phys. Rev. C, 1998, 57: 722
    [16] Dasso C H, Pollarolo G. Phys. Rev. C, 2003, 68: 054604
    [17] Hagino K et al. Phys. Rev. C, 2003, 67: 054603
    [18] Sagaidak R N et al. Phys. Rev. C, 2007, 76: 034605
    [19] WANG N, Scheid W. Phys. Rev. C, 2008, 78: 014607
    [20] Ghodsi O N, Gharaei R. Eur. Phys. J. A, 2012, 48: 21
    [21] Duhan S S, Singh M, Kharab R. Mod. Phys. Lett. A, 2011, 26: 1017
    [22] Duhan S S, Singh M, Kharab R. Int. J. Mod. Phys. E, 2012, 21: 1250054
    [23] Duhan S S, Singh M, Kharab R. Commun. Theor. Phys., 2011, 55: 649
    [24] Duhan S S, Singh M, Kharab R. Phys. At. Nucl., 2011, 74: 49
    [25] Newton J O et al. Phys. Rev. C, 2004, 70: 024605
    [26] Hagino K, Rowley N. Phys. Rev. C, 2004, 69: 054610
    [27] Mukherjee A et al. Phys. Rev. C, 2007, 75: 044608
    [28] Chushnyakova M V, Bhattacharya R, Gontchar I I. Phys. Rev. C, 2014, 90: 017603
    [29] Gontchar I I, Bhattacharya R, Chushnyakova M V. Phys. Rev. C, 2014, 89: 034601
    [30] Singh M, Duhan S S, Kharab R. Mod. Phys. Lett. A, 2011, 26: 2129
    [31] Sukhvinder M Singh, Kharab R. Nucl. Phys. A, 2013, 897: 179
    [32] Sukhvinder M Singh, Kharab R. Nucl. Phys. A, 2013, 897: 198
    [33] Sukhvinder M Singh, Kharab R. AIP Conf. Proc., 2013, 1524: 163
    [34] Singh M, Sukhvinder, Kharab R, Atti Della ''Fondazione Giorgio Ronchi'' Anno LXV, 2010, 6: 751
    [35] Singh M, Phil M. Dissertation (2009) (unpublished), Kurukshetra University Kurukshetra, Haryana, India
    [36] Singh M, Ph.D, Thesis, (2013) (unpublished), Kurukshetra University, Kurukshetra, Haryana, India, 2013
    [37] Singh M, Kharab R. EPJ Web of Conferences, 2014, 66: 03043
    [38] Gautam M S. Phys. Rev. C, 2014, 90: 024620
    [39] Gautam M S. Nucl. Phys. A, 2015, 933: 272
    [40] Gautam M S. Phys. Scr., 2015, 90: 025301, Phys. Scr., 2015, 90: 055301
    [41] Gautam M S. Mod. Phys. Lett. A, 2015, 30: 1550013; Acta Phys. Pol. B, 2015, 46: 1055; Can. J. Phys., 2015, 93: 1
    [42] Tripathi V et al. Phys. Rev. C, 2001, 65: 014614
    [43] Baby L T et al. Phys. Rev. C, 2000, 62: 014603
    [44] Sinha S et al. Phys. Rev. C, 2001, 64: 024607
    [45] Wong C Y. Phys. Rev. Lett., 1973, 31: 766
    [46] Hagino K, Rowley N, Kruppa A T. Comput. Phys. Commun., 1999, 123: 143
    [47] Hill D L, Wheeler J A. Phys. Rev., 1953, 89: 1102
    [48] Hagino K et al. Phys. Rev. C, 1997, 55: 276
    [49] Hagino K et al. J. Phys. G, 1997, 23: 1413
    [50] Esbensen H, Fricke S H, Landowne S. Phys. Rev. C, 1989, 40: 2046
    [51] Hagino K et al. Phys. Rev. C, 1998, 57: 1349
    [52] Zamrun F M {et al.} Phys. Rev. C, 2010, 81: 044609
    [53] Anjos R M et al. Phys. Rev. C, 1990, 42: 354
    [54] Ghodsi O N, Zanganeh V. Nucl. Phys. A, 2010, 846: 40
    [55] Esbensen H, JIANG C L, Stefanini A M. Phys. Rev. C, 2010, 82: 054621
    [56] Esbensen H, JIANG C L, Stefanini A M. Phys. Rev. C, 2014, 89: 044606
    [57] Esbensen H, JIANG C L. Phys. Rev. C, 2009, 79: 064619
    [58] Esbensen H, Misicu S. Phys. Rev. C, 2007, 76: 054609
    [59] Stefanini A M et al. Phys. Lett. B, 2009, 679: 95
    [60] Stefanini A M et al. Phys. Lett. B, 2014, 728: 639
  • [1] Beckerman M. Rep. Prog. Phys., 1988, 51: 1047
    [2] Reisdorf W. J. Phys. G, 1994, 20: 1297
    [3] Dasgupta M et al. Annu. Rev. Nucl. Part. Sci., 1998, 48: 401
    [4] Balantekin A B, Takigawa N. Rev. Mod. Phys., 1988, 70: 77
    [5] Canto L F et al. Phys. Rep., 2006, 424: 1
    [6] Hagino K, Takigawa N. Prog. Theor. Phys., 2012, 128: 1061
    [7] Back B B et al. Rev. Mod. Phys., 2014, 86: 317
    [8] Timmers H et al. Phys. Lett. B, 1997, 399: 35
    [9] Trotta M et al. Phys. Rev. C, 2001, 65: 011601
    [10] Stefanini A M et al. Phys. Rev. C, 2007, 76: 014610
    [11] Leigh J R et al. Phys. Rev. C, 1995, 52: 3151
    [12] Prasad N V S V et al. Nucl. Phys. A, 1996, 603: 176
    [13] ZHANG H Q et al. Phys. Rev. C, 2010, 82: 054609
    [14] Newton J O et al. Phys. Rev. C, 2001, 64: 064608
    [15] Sonzogni A A et al. Phys. Rev. C, 1998, 57: 722
    [16] Dasso C H, Pollarolo G. Phys. Rev. C, 2003, 68: 054604
    [17] Hagino K et al. Phys. Rev. C, 2003, 67: 054603
    [18] Sagaidak R N et al. Phys. Rev. C, 2007, 76: 034605
    [19] WANG N, Scheid W. Phys. Rev. C, 2008, 78: 014607
    [20] Ghodsi O N, Gharaei R. Eur. Phys. J. A, 2012, 48: 21
    [21] Duhan S S, Singh M, Kharab R. Mod. Phys. Lett. A, 2011, 26: 1017
    [22] Duhan S S, Singh M, Kharab R. Int. J. Mod. Phys. E, 2012, 21: 1250054
    [23] Duhan S S, Singh M, Kharab R. Commun. Theor. Phys., 2011, 55: 649
    [24] Duhan S S, Singh M, Kharab R. Phys. At. Nucl., 2011, 74: 49
    [25] Newton J O et al. Phys. Rev. C, 2004, 70: 024605
    [26] Hagino K, Rowley N. Phys. Rev. C, 2004, 69: 054610
    [27] Mukherjee A et al. Phys. Rev. C, 2007, 75: 044608
    [28] Chushnyakova M V, Bhattacharya R, Gontchar I I. Phys. Rev. C, 2014, 90: 017603
    [29] Gontchar I I, Bhattacharya R, Chushnyakova M V. Phys. Rev. C, 2014, 89: 034601
    [30] Singh M, Duhan S S, Kharab R. Mod. Phys. Lett. A, 2011, 26: 2129
    [31] Sukhvinder M Singh, Kharab R. Nucl. Phys. A, 2013, 897: 179
    [32] Sukhvinder M Singh, Kharab R. Nucl. Phys. A, 2013, 897: 198
    [33] Sukhvinder M Singh, Kharab R. AIP Conf. Proc., 2013, 1524: 163
    [34] Singh M, Sukhvinder, Kharab R, Atti Della ''Fondazione Giorgio Ronchi'' Anno LXV, 2010, 6: 751
    [35] Singh M, Phil M. Dissertation (2009) (unpublished), Kurukshetra University Kurukshetra, Haryana, India
    [36] Singh M, Ph.D, Thesis, (2013) (unpublished), Kurukshetra University, Kurukshetra, Haryana, India, 2013
    [37] Singh M, Kharab R. EPJ Web of Conferences, 2014, 66: 03043
    [38] Gautam M S. Phys. Rev. C, 2014, 90: 024620
    [39] Gautam M S. Nucl. Phys. A, 2015, 933: 272
    [40] Gautam M S. Phys. Scr., 2015, 90: 025301, Phys. Scr., 2015, 90: 055301
    [41] Gautam M S. Mod. Phys. Lett. A, 2015, 30: 1550013; Acta Phys. Pol. B, 2015, 46: 1055; Can. J. Phys., 2015, 93: 1
    [42] Tripathi V et al. Phys. Rev. C, 2001, 65: 014614
    [43] Baby L T et al. Phys. Rev. C, 2000, 62: 014603
    [44] Sinha S et al. Phys. Rev. C, 2001, 64: 024607
    [45] Wong C Y. Phys. Rev. Lett., 1973, 31: 766
    [46] Hagino K, Rowley N, Kruppa A T. Comput. Phys. Commun., 1999, 123: 143
    [47] Hill D L, Wheeler J A. Phys. Rev., 1953, 89: 1102
    [48] Hagino K et al. Phys. Rev. C, 1997, 55: 276
    [49] Hagino K et al. J. Phys. G, 1997, 23: 1413
    [50] Esbensen H, Fricke S H, Landowne S. Phys. Rev. C, 1989, 40: 2046
    [51] Hagino K et al. Phys. Rev. C, 1998, 57: 1349
    [52] Zamrun F M {et al.} Phys. Rev. C, 2010, 81: 044609
    [53] Anjos R M et al. Phys. Rev. C, 1990, 42: 354
    [54] Ghodsi O N, Zanganeh V. Nucl. Phys. A, 2010, 846: 40
    [55] Esbensen H, JIANG C L, Stefanini A M. Phys. Rev. C, 2010, 82: 054621
    [56] Esbensen H, JIANG C L, Stefanini A M. Phys. Rev. C, 2014, 89: 044606
    [57] Esbensen H, JIANG C L. Phys. Rev. C, 2009, 79: 064619
    [58] Esbensen H, Misicu S. Phys. Rev. C, 2007, 76: 054609
    [59] Stefanini A M et al. Phys. Lett. B, 2009, 679: 95
    [60] Stefanini A M et al. Phys. Lett. B, 2014, 728: 639
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Manjeet Singh Gautam. Static versus energy-dependent nucleus-nucleus} potential for description of sub-barrier fusion dynamics of 816O+50112,116,120Sn reactions[J]. Chinese Physics C, 2015, 39(11): 114102. doi: 10.1088/1674-1137/39/11/114102
Manjeet Singh Gautam. Static versus energy-dependent nucleus-nucleus} potential for description of sub-barrier fusion dynamics of 816O+50112,116,120Sn reactions[J]. Chinese Physics C, 2015, 39(11): 114102.  doi: 10.1088/1674-1137/39/11/114102 shu
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Received: 2015-03-27
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    Supported by Dr. D. S. Kothari Post-Doctoral Fellowship Scheme sponsored by University Grants Commission (UGC), New Delhi, India

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Static versus energy-dependent nucleus-nucleus} potential for description of sub-barrier fusion dynamics of 816O+50112,116,120Sn reactions

    Corresponding author: Manjeet Singh Gautam,
  • 1. School of Physics and Material Science, Thapar University, Patiala (Punjab)-147004, India
Fund Project:  Supported by Dr. D. S. Kothari Post-Doctoral Fellowship Scheme sponsored by University Grants Commission (UGC), New Delhi, India

Abstract: The static and energy-dependent nucleus-nucleus potentials are simultaneously used along with the Wong formula for exploration of fusion dynamics of 816O+50112,116,120Sn reactions. The role of internal structure degrees of freedom of colliding pairs, such as inelastic surface vibrations, are examined within the context of coupled channel calculations performed using the code CCFULL. Theoretical calculations based on the static Woods-Saxon potential along with the one-dimensional Wong formula fail to address the fusion data of 816O+50112,116,120Sn reactions. Such discrepancies can be removed if one uses couplings to internal structure degrees of freedom of colliding nuclei. However, the energy-dependent Woods-Saxon potential model (EDWSP model) accurately describes the sub-barrier fusion enhancement of 816O+50112,116,120Sn reactions. Therefore, in sub-barrier fusion dynamics, energy dependence in the nucleus-nucleus potential governs barrier modification effects in a closely similar way to that of the coupled channel approach.

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