Review
A Study on Heavy-Ion Fusion Reactions at Extreme Subbarrier Energies
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.
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).
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).
There are 16 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Engineering |
| Journal Section | Review Articles |
| Authors | |
| Publication Date | March 28, 2023 |
| Submission Date | December 28, 2022 |
| Published in Issue | Year 2021 Volume: 8 Issue: 2 |