Application of R-Matrix and Lagrange-Mesh Methods to Nuclear Transfer Reactions
DOI:
https://doi.org/10.15415/jnp.2022.92029Keywords:
Nuclear reactions, Nuclear transfer reactions, ADWA, R-matrix, Lagrange-meshAbstract
Background: Nuclear transfer reactions are a useful tool to study the structure of a nucleus. For reactions involving weekly bound nuclei, breakup effects can play significant role and theoretical calculations can be computational expensive in such cases.
Purpose: To utilize the Lagrange-mesh and R-matrix methods for nuclear transfer reactions.
Methods: We use the adiabatic distorted wave approximation (ADWA) method which can approximately treats the breakup effects in a simpler manner. In our approach, we apply the R-matrix method combining it with the Lagrange-mesh method, which is known to provide the fast and accurate computations.
Results: As a test case, we calculate the angular distribution of the cross sections for the 54Fe(d,p)55Fe reaction, where deuteron breakup effects play important role.
Conclusions: We show that these methods work well in the ADWA framework, and we look forward to applying these methods in coupled channel calculations.
Downloads
References
G. R. Satchler, Direct Nuclear Reactions (Oxford University Press, Oxford, 1983).
N. Glendenning, Direct Nuclear Reactions (World Scientific, Singapore, 2004)
D. W. Bardayan, J. Phy. G: Nucl. Part. Phys. 43, 043001 (2016). https://doi.org/10.1088/0954-3899/43/4/043001
P. Descouvemont, D. Baye, Rep. Prog. Phys. 73, 036301 (2010). https://doi.org/10.1088/0034-4885/73/3/036301
D. Baye, Phys. Rep. 565, 1 (2015). https://doi.org/10.1016/j.physrep.2014.11.006
Shubhchintak, P. Descouvemont, Phys. Rev. C 100, 034611 (2019). https://doi.org/10.1103/PhysRevC.100.034611
Shubhchintak, Eur. Phys. J A 57, 32 (2021). https://doi.org/10.1140/epja/s10050-021-00344-8
K. T. Schmitt et al., Phys. Rev C 88, 064612 (2013). https://doi.org/10.1103/PhysRevC.88.064612
D. Walter et al., Phys. Rev C 99, 054625 (2019). https://doi.org/10.1103/PhysRevC.99.054625
N. B. Nguyen, F. M. Nunes and R. C. Johnson, Phys. Rev. C 82, 014611 (2010). https://doi.org/10.1103/PhysRevC.82.014611
R. C. Johnson and P. J. R. Soper, Phys. Rev. C 1, 976 (1970). https://doi.org/10.1103/PhysRevC.1.976
R. C. Johnson and P. C. Tandy, Nucl. Phys. A 235, 56 (1974). https://doi.org/10.1088/0034-4885/40/8/002
N. K. Timofeyuk and R. C. Johnson, Prog. Part. Nucl. Phys. 111, 103738 (2020). https://doi.org/10.1016/j.ppnp.2019.103738
L. Laid, J. A. Tostevin and R. C. Johnson, Phys. Rev. C 48, 1307 (1993). https://doi.org/10.1103/PhysRevC.48.1307
C. Bloch, Nucl. Phys. 4, 503 (1957). https://doi.org/10.1016/0029-5582(87)90058-7
A. J. Koning, J. P. Delaroche, Nucl. Phys. A 713, 231 (2003). https://doi.org/10.1016/S0375-9474(02)01321-0
Y. L. Yntema and H. Ohnuma, Phys. Rev. Lett. 19, 1341 (1967). https://doi.org/10.1103/PhysRevLett.19.1341
J. D. Harvey and R. C. Johnson, Phys. Rev. C, 3, 636 (1971). https://doi.org/10.1103/PhysRevC.3.636
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2022 Shubhchintak, Pierre Descouvemont

This work is licensed under a Creative Commons Attribution 4.0 International License.
View Legal Code of the above-mentioned license, https://creativecommons.org/licenses/by/4.0/legalcode
View Licence Deed here https://creativecommons.org/licenses/by/4.0/
![]() |
Journal of Nuclear Physics, Material Sciences, Radiation and Applications by Chitkara University Publications is licensed under a Creative Commons Attribution 4.0 International License. Based on a work at https://jnp.chitkara.edu.in/ |