Journal of Nuclear Sciences
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A Study on Heavy-Ion Fusion Reactions at Extreme Subbarrier Energies

Year 2021, Volume: 8 Issue: 2, 29 - 35, 28.03.2023

H CHABRAK Bulent GONUL

Abstract

Recent years have seen an increased interest in studying fusion reactions at extremely low subbarrier energies, although it is challenging to measure them due to their extremely small cross sections. After a brief review of the relevant literature in this area, this letter focuses on the remarkable similarities between the findings of the two effective but different models employed to analyze such reactions. The physics underlying the concealed relationship between sudden and adiabatic approaches is discussed considering the supersymmetric phase equivalent potential concept in terms of the potential functions used within their mathematical forms.

Keywords

Fusion hindrance, Heavy-ion interactions, Phase-equivalent potentials

References

  • [1] C.L. Jiang, H. Esbensen, K.E. Rehm, B.B. Back, R.V.F. Janssens, J.A. Caggiano, P. Collon, J. Greene, A.M. Heinz, D.J. Henderson, I. Nishinaka, T.O. Pennington, D. Seweryniak, “Unexpected Behavior of Heavy-Ion Fusion Cross Sections at Extreme Sub- Barrier Energies”, Phys. Rev. Lett. 89, 052701/1-4 (2002).
  • [2] C.L. Jiang, H. Esbensen, B.B. Back, R.V.F. Janssens, K.E. Rehm, “Analysis of heavy-ion fusion reactions at extreme sub-barrier energies”, Phys. Rev. C 69, 014604/1-6 (2004).
  • [3] C.L. Jiang, B.B. Back, K.E. Rehm, K. Hagino, G. Montagnoli, A.M. Stefanini, “Heavy-ion fusion reactions at extreme sub-barrier energies”, Eur. Phy. J. A, 235, 1-47 (2021). [4] K. Hagino, “Sub-barrier fusion reactions”, arXiv: 2201.08061v1 [nucl-th] (2022).
  • [5] Ş. Mişicu, H. Esbensen, “Hindrance of Heavy-Ion Fusion due to Nuclear Incompressibility”, Phys. Rev. Lett. 96, 112701/1-4 (2006).
  • [6] Ş. Mişicu, H. Esbensen, “Signature of shallow potentials in deep sub-barrier fusion reactions”, Phys. Rev. C 75, 034606/1-14 (2007).
  • [7] S. Mişicu, “An inquiry on hindrance to heavy-ion sub-barrier fusion”, Int. J. Mod. Phys. E 23, 1450074/1- 37 (2014).
  • [8] C. Simenel, A.S. Umar, K. Godbey, M. Dasgupta, D.J. Hinde, “How the Pauli exclusion principle affects fusion of atomic nuclei”, Phys. Rev. C 95, 031601(R)/1-6 (2017).
  • [9]T. Ichikawa, K. Hagino, A. Iwamoto, “Existence of aone-body barrier revealed in deep subbarrier fusion”,Phys. Rev. C 75, 057603/1-4 (2007).
  • [10] T. Ichikawa, “Systematic investigations of deep sub-barrier fusion reactions using an adiabatic approach”,Phys. Rev. C 92, 064604/1-19 (2015).
  • [11]D. Baye, “Supersymmetry between Deep andShallow Nucleus-Nucleus Potentials”, Phys. Rev. Lett.58, 2738-2741 (1987).
  • [12]J.M. Sparenberg, D. Baye, “Supersymmetrybetween Phase-Equivalent Coupled-Channel Potentials”,Phys. Rev. Lett. 79, 3802-3805 (1997).
  • [13]B. Gönül, O. Özer, M. Yılmaz, “Investigation ofphase-equivalent potentials by a halo transfer reaction”,Eur. Phys. J. A. 9, 19–28 (2000).
  • [14]S. Ohkubo, “Luneburg-lens-like structural Pauliattractive core of the nuclear force at short distances”,Phys. Rev. C 95, 044002/1-6 (2017).
  • [15]G. Montagnoli, A.M. Stefanini, “Recentexperimental results in sub- and near-barrier heavy ionfusion reactions”, Eur. Phys. J. A 53, 169-211 (2017).
  • [16]A.B. Balantekin, N. Takigawa, “Quantumtunnelling in nuclear fusion”, Rev. Mod. Phys. 70, 77-100 (1998).
  • [17]C.L. Jiang, “A modified Wong formula for heavy-ion reactions”, Eur. Phys. J. A 58:72, 1-8 (2022).

Year 2021, Volume: 8 Issue: 2, 29 - 35, 28.03.2023

H CHABRAK Bulent GONUL

Abstract

References

  • [1] C.L. Jiang, H. Esbensen, K.E. Rehm, B.B. Back, R.V.F. Janssens, J.A. Caggiano, P. Collon, J. Greene, A.M. Heinz, D.J. Henderson, I. Nishinaka, T.O. Pennington, D. Seweryniak, “Unexpected Behavior of Heavy-Ion Fusion Cross Sections at Extreme Sub- Barrier Energies”, Phys. Rev. Lett. 89, 052701/1-4 (2002).
  • [2] C.L. Jiang, H. Esbensen, B.B. Back, R.V.F. Janssens, K.E. Rehm, “Analysis of heavy-ion fusion reactions at extreme sub-barrier energies”, Phys. Rev. C 69, 014604/1-6 (2004).
  • [3] C.L. Jiang, B.B. Back, K.E. Rehm, K. Hagino, G. Montagnoli, A.M. Stefanini, “Heavy-ion fusion reactions at extreme sub-barrier energies”, Eur. Phy. J. A, 235, 1-47 (2021). [4] K. Hagino, “Sub-barrier fusion reactions”, arXiv: 2201.08061v1 [nucl-th] (2022).
  • [5] Ş. Mişicu, H. Esbensen, “Hindrance of Heavy-Ion Fusion due to Nuclear Incompressibility”, Phys. Rev. Lett. 96, 112701/1-4 (2006).
  • [6] Ş. Mişicu, H. Esbensen, “Signature of shallow potentials in deep sub-barrier fusion reactions”, Phys. Rev. C 75, 034606/1-14 (2007).
  • [7] S. Mişicu, “An inquiry on hindrance to heavy-ion sub-barrier fusion”, Int. J. Mod. Phys. E 23, 1450074/1- 37 (2014).
  • [8] C. Simenel, A.S. Umar, K. Godbey, M. Dasgupta, D.J. Hinde, “How the Pauli exclusion principle affects fusion of atomic nuclei”, Phys. Rev. C 95, 031601(R)/1-6 (2017).
  • [9]T. Ichikawa, K. Hagino, A. Iwamoto, “Existence of aone-body barrier revealed in deep subbarrier fusion”,Phys. Rev. C 75, 057603/1-4 (2007).
  • [10] T. Ichikawa, “Systematic investigations of deep sub-barrier fusion reactions using an adiabatic approach”,Phys. Rev. C 92, 064604/1-19 (2015).
  • [11]D. Baye, “Supersymmetry between Deep andShallow Nucleus-Nucleus Potentials”, Phys. Rev. Lett.58, 2738-2741 (1987).
  • [12]J.M. Sparenberg, D. Baye, “Supersymmetrybetween Phase-Equivalent Coupled-Channel Potentials”,Phys. Rev. Lett. 79, 3802-3805 (1997).
  • [13]B. Gönül, O. Özer, M. Yılmaz, “Investigation ofphase-equivalent potentials by a halo transfer reaction”,Eur. Phys. J. A. 9, 19–28 (2000).
  • [14]S. Ohkubo, “Luneburg-lens-like structural Pauliattractive core of the nuclear force at short distances”,Phys. Rev. C 95, 044002/1-6 (2017).
  • [15]G. Montagnoli, A.M. Stefanini, “Recentexperimental results in sub- and near-barrier heavy ionfusion reactions”, Eur. Phys. J. A 53, 169-211 (2017).
  • [16]A.B. Balantekin, N. Takigawa, “Quantumtunnelling in nuclear fusion”, Rev. Mod. Phys. 70, 77-100 (1998).
  • [17]C.L. Jiang, “A modified Wong formula for heavy-ion reactions”, Eur. Phys. J. A 58:72, 1-8 (2022).

Details

Primary Language English
Subjects Engineering
Journal Section Review Articles
Authors

H CHABRAK
GAZIANTEP UNIVERSITY
0009-0001-2664-8257
Türkiye

Bulent GONUL
Gaziantep Üniversitesi Fizik Mühendisliği Bölümü
0000-0002-6426-0093
Türkiye

Publication Date March 28, 2023
Published in Issue Year 2021Volume: 8 Issue: 2

Cite

Bibtex @review { ankujns1225914, journal = {Journal of Nuclear Sciences}, issn = {2147-7736}, eissn = {2148-3981}, address = {}, publisher = {Ankara University}, year = {2021}, volume = {8}, number = {2}, pages = {29 - 35}, title = {A Study on Heavy-Ion Fusion Reactions at Extreme Subbarrier Energies}, key = {cite}, author = {Gonul, Bulent} }
APA Chabrak, H. & Gonul, B. (2021). A Study on Heavy-Ion Fusion Reactions at Extreme Subbarrier Energies . Journal of Nuclear Sciences , 8 (2) , 29-35 . Retrieved from http://jns.ankara.edu.tr/en/pub/issue/76416/1225914
MLA Chabrak, H. , Gonul, B. "A Study on Heavy-Ion Fusion Reactions at Extreme Subbarrier Energies" . Journal of Nuclear Sciences 8 (2021 ): 29-35 <http://jns.ankara.edu.tr/en/pub/issue/76416/1225914>
Chicago Chabrak, H. , Gonul, B. "A Study on Heavy-Ion Fusion Reactions at Extreme Subbarrier Energies". Journal of Nuclear Sciences 8 (2021 ): 29-35
RIS TY - JOUR T1 - A Study on Heavy-Ion Fusion Reactions at Extreme Subbarrier Energies AU - HChabrak, BulentGonul Y1 - 2021 PY - 2021 N1 - DO - T2 - Journal of Nuclear Sciences JF - Journal JO - JOR SP - 29 EP - 35 VL - 8 IS - 2 SN - 2147-7736-2148-3981 M3 - UR - Y2 - 2023 ER -
EndNote %0 Journal of Nuclear Sciences A Study on Heavy-Ion Fusion Reactions at Extreme Subbarrier Energies %A H Chabrak , Bulent Gonul %T A Study on Heavy-Ion Fusion Reactions at Extreme Subbarrier Energies %D 2021 %J Journal of Nuclear Sciences %P 2147-7736-2148-3981 %V 8 %N 2 %R %U
ISNAD Chabrak, H , Gonul, Bulent . "A Study on Heavy-Ion Fusion Reactions at Extreme Subbarrier Energies". Journal of Nuclear Sciences 8 / 2 (March 2023): 29-35 .
AMA Chabrak H. , Gonul B. A Study on Heavy-Ion Fusion Reactions at Extreme Subbarrier Energies. Journal of Nuclear Sciences. 2021; 8(2): 29-35.
Vancouver Chabrak H. , Gonul B. A Study on Heavy-Ion Fusion Reactions at Extreme Subbarrier Energies. Journal of Nuclear Sciences. 2021; 8(2): 29-35.
IEEE H. Chabrak and B. Gonul , "A Study on Heavy-Ion Fusion Reactions at Extreme Subbarrier Energies", Journal of Nuclear Sciences, vol. 8, no. 2, pp. 29-35, Mar. 2023