Proton-halo breakup dynamics for the breakup threshold in the ε0 → 0 limit

• Proton-halo breakup behavior in the $\varepsilon_0\to 0$ limit (where $\varepsilon_0$ is the ground-state binding energy) is studied around the Coulomb barrier in the $^8{\rm{B}}+{}^{58}{\rm{Ni}}$ reaction for the first time. For practical purposes, apart from the experimental $^8{\rm{B}}$ binding energy of 137 keV, three more arbitrarily chosen values (1, 0.1, 0.01 keV) are considered. It is first shown that the Coulomb barrier between the core and the proton prevents the $^7{\rm{Be}}+p$ system from reaching the state of an open proton-halo system, which, among other factors, would require the ground-state wave function to extend to infinity in the asymptotic region, as $\varepsilon_0\to 0$. The elastic scattering cross section, which depends on the density of the ground-state wave function, is found to have a negligible dependence on the binding energy in this limit. The total, Coulomb and nuclear breakup cross sections are all reported to increase significantly from $\varepsilon_0 = 137$ to 1.0 keV, and converge to their maximum values as $\varepsilon_0\to 0$. This increase is mainly understood as coming from a longer tail of the ground-state wave function for $\varepsilon_0\leqslant 1.0$ keV, compared to that for $\varepsilon_0 = 137$ keV. It is also found that the effect of the continuum-continuum couplings is to slightly delay the convergence of the breakup cross section. The analysis of the reaction cross section indicates a convergence of all the breakup observables as $\varepsilon_0\to 0$. These results provide a better sense of the dependence of the breakup process on the breakup threshold.
•  [1] L. F. Canto, P. R. S. Gomes, R. Donangelo et al., Phys. Rep. 596, 1 (2015 doi: 10.1016/j.physrep.2015.08.001 [2] V. Jha, V. V. Parkar, and S. Kailas, Phys. Rep. 845, 1 (2020 doi: 10.1016/j.physrep.2019.12.003 [3] R. Chatterjee and R. Shyam, Prog. Part. Nucl. Phys. 103, 67 (2018 doi: 10.1016/j.ppnp.2018.06.001 [4] B. Mukeru, J. Phys. G: Nucl. Part. Phys. 45, 065201 (15pp) (2018) [5] J. Rangel, J. Lubian, L. F. Canto et al., Phys. Rev. C 93, 054610 (2016 [6] R. Kumar and A. Bonaccorso, Phys. Rev. C 84, 014613 (2011 [7] Y. Kucuk and A. M. Moro, Phys. Rev. C 86, 034601 (2012 [8] K. Möhring and U. Smilansky, Nuclear Phys. A 338, 227 (1980 doi: 10.1016/0375-9474(80)90131-1 [9] H. P. Breuer and F. Petruccione, The Theory of Open Quantum Systems, Oxford University Press, 2002 [10] J. Okolowicz, M. Ploszajczak, and I. Rotter, Phys. Rep. 374, 271 (2003 doi: 10.1016/S0370-1573(02)00366-6 [11] J. Dobaczewskia, N. Michel, W. Nazarewicza et al., Prog. Part. and Nucl. Phys. 59, 432 (2007 doi: 10.1016/j.ppnp.2007.01.022 [12] U. Weiss, Quantum Dissipative Systems, World Scientific, 2008 [13] N. Michel, W. Nazarewicz, J. Okolowicz et al., J. Phys. G: Nucl. Part. Phys. 37, 064042 (12pp) (2010) [14] J. Daboul and M. M. Nieto, Phys. Let. A 190, 357 (1994), Phys. Rev. E 52 4430 (1995) [15] M. Wang, G. Audi, F. G. Kondev et al., Chin. Phys. C 41, 030003 (2017). [See also at https://www.nndc.bnl.gov/ nudat2/] [16] B. Mukeru, M. L. Lekala, and A. S. Denikin, Nucl. Phys. A 935, 18 (2015 [17] L. F. Canto J. Lubian, P. R. S. Gomes et al., Phys. Rev. C 80, 047601 (2009 [18] F. M. Nunes and I. J. Thompson, Phys. Rev. C 57, R2818 (1998) Phys. Rev. C 59, 2652 (1999) [19] B. Pães, J. Lubian, P. R. S. Gomes et al., Nucl. Phys. A 890, 1 (2012 [20] V. Guimãreas et al., Phys. Rev. Lett. 48, 1862 (2000 [21] T. L. Belyaeva, E. F. Aguilera, E. Martinez-Quiroz et al., Phys. Rev. C 80, 064617 (2009 [22] J. A. Tostevin, F. M. Nunes, and I. J. Thompson, Phys. Rev. C 63, 024617 (2001 [23] J. Rangel, J. Lubian, P. R. S. Gomes et al., Eur. Phys. J. A 49, 57 (2013 doi: 10.1140/epja/i2013-13057-0 [24] A. Gomez Camacho, E. F. Aguilera, R. S. Gomes et al., Phys. Rev. C 84, 034615 (2011 [25] E. F. Aguilera, E.Martinez-Quiroz, T. L. Belyaeva et al., Phys. of At. Nuclei 71, 163 (2008 [26] J. Lubian, T. Correa, E. F. Aguilera et al., Gomes, Phys. Rev. C 79 064605 (2009) Phys. Rev. C 78 064615 (2008) [27] E. F. Aguilera et al., Phys. Rev. C 79 021601(R) (2009) Phys. Rev. Lett.107 092701 (2011) [28] P. Descouvemont, and E. C. Pinilla, Few-Body Syst 60, 11 (2019 doi: 10.1007/s00601-018-1476-6 [29] K. J. Cook et al., Phys. Rev. Lett. 124, 212503 (2020 doi: 10.1103/PhysRevLett.124.212503 [30] N. Austern et al., Phys. Rep. 154, 125 (1987 doi: 10.1016/0370-1573(87)90094-9 [31] Y. Iseri et al., Prog. Theor. Phys. Suppl. 89, 84 (1986 doi: 10.1143/PTPS.89.84 [32] C. A. Bertulani, Phys. Lett. B 547, 205 (2002 [33] F. F. Duan et al., Phys. Lett. B 811, 135942 (2020 [34] A. Di Pietro, A. M. Moro, J. Lei et al., Phys. Lett. B 798, 134954 (2019 [35] H. Esbensen and G. F. Bertsch, Nucl. Phys. A 600, 37 (1996 [36] I. J. Thompson, Comput. Phys. Rep. 7, 167 (1988 doi: 10.1016/0167-7977(88)90005-6 [37] A. Ozawa, T. Suzuki, and T. Tanihata, Nucl. Phys. A 693, 32 (2001 [38] P. Capel and F. M. Nunes, Phys. Rev. C 75, 054609 (2007 [39] Y. Y. Yang, X. Liu, 1and D. Y. Pang, Phys. Rev. C 94, 034614 (2016

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B. Mukeru. Proton-halo breakup dynamics for the breakup threshold in the ε0 → 0 limit[J]. Chinese Physics C. doi: 10.1088/1674-1137/abe9a3
B. Mukeru. Proton-halo breakup dynamics for the breakup threshold in the ε0 → 0 limit[J]. Chinese Physics C.
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沈阳化工大学材料科学与工程学院 沈阳 110142

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Proton-halo breakup dynamics for the breakup threshold in the ε0 → 0 limit

• Department of Physics, University of South Africa, P.O. Box 392, Pretoria 0003, South Africa

Abstract: Proton-halo breakup behavior in the $\varepsilon_0\to 0$ limit (where $\varepsilon_0$ is the ground-state binding energy) is studied around the Coulomb barrier in the $^8{\rm{B}}+{}^{58}{\rm{Ni}}$ reaction for the first time. For practical purposes, apart from the experimental $^8{\rm{B}}$ binding energy of 137 keV, three more arbitrarily chosen values (1, 0.1, 0.01 keV) are considered. It is first shown that the Coulomb barrier between the core and the proton prevents the $^7{\rm{Be}}+p$ system from reaching the state of an open proton-halo system, which, among other factors, would require the ground-state wave function to extend to infinity in the asymptotic region, as $\varepsilon_0\to 0$. The elastic scattering cross section, which depends on the density of the ground-state wave function, is found to have a negligible dependence on the binding energy in this limit. The total, Coulomb and nuclear breakup cross sections are all reported to increase significantly from $\varepsilon_0 = 137$ to 1.0 keV, and converge to their maximum values as $\varepsilon_0\to 0$. This increase is mainly understood as coming from a longer tail of the ground-state wave function for $\varepsilon_0\leqslant 1.0$ keV, compared to that for $\varepsilon_0 = 137$ keV. It is also found that the effect of the continuum-continuum couplings is to slightly delay the convergence of the breakup cross section. The analysis of the reaction cross section indicates a convergence of all the breakup observables as $\varepsilon_0\to 0$. These results provide a better sense of the dependence of the breakup process on the breakup threshold.

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