Theory of Surrogate Nuclear and Atomic Reactions with Three Charged Particles in the Final State Proceeding Through a Resonance in the Intermediate Subsystem
Abstract
Within a fewbody formalism, we develop a general theory of surrogate nuclear and atomic reactions with excitation of a resonance in the intermediate binary subsystem leading to three charged particles in the final state. Additionally, the Coulomb interactions between the spectator and the resonance in the intermediate state and between the three particles in the final state are taken into account. Finalstate threebody Coulomb multiplescattering effects are accounted for using the formalism of the threebody Coulomb asymptotic states based on the work published by one of the authors (A.M.M.) under the guidance of L. D. Faddeev. The formalism of the threebody Coulomb asymptotic states (CAS) was used to calculate the reaction amplitudes with three charged particles in the final state. An expression is derived for the triply differential cross section. It can be used for investigation of the Coulomb effects on the resonance line shape as well as the energy dependence of the cross section. In conclusion, we find that simultaneous inclusion of the Coulomb effects in the intermediate and final state decreases the effect of the finalstate Coulomb interactions on the triply differential cross section.
 Authors:

 Texas A & M Univ., College Station, TX (United States)
 Curtin University, Perth (Australia)
 Publication Date:
 Research Org.:
 Texas A & M Univ., College Station, TX (United States)
 Sponsoring Org.:
 USDOE National Nuclear Security Administration (NNSA)
 OSTI Identifier:
 1505775
 Grant/Contract Number:
 NA0003841; FG0293ER40773
 Resource Type:
 Accepted Manuscript
 Journal Name:
 FewBody Systems
 Additional Journal Information:
 Journal Volume: 60; Journal Issue: 2; Journal ID: ISSN 01777963
 Publisher:
 Springer
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Mukhamedzhanov, A. M., and Kadyrov, A. S. Theory of Surrogate Nuclear and Atomic Reactions with Three Charged Particles in the Final State Proceeding Through a Resonance in the Intermediate Subsystem. United States: N. p., 2019.
Web. doi:10.1007/s0060101914899.
Mukhamedzhanov, A. M., & Kadyrov, A. S. Theory of Surrogate Nuclear and Atomic Reactions with Three Charged Particles in the Final State Proceeding Through a Resonance in the Intermediate Subsystem. United States. doi:10.1007/s0060101914899.
Mukhamedzhanov, A. M., and Kadyrov, A. S. Sat .
"Theory of Surrogate Nuclear and Atomic Reactions with Three Charged Particles in the Final State Proceeding Through a Resonance in the Intermediate Subsystem". United States. doi:10.1007/s0060101914899. https://www.osti.gov/servlets/purl/1505775.
@article{osti_1505775,
title = {Theory of Surrogate Nuclear and Atomic Reactions with Three Charged Particles in the Final State Proceeding Through a Resonance in the Intermediate Subsystem},
author = {Mukhamedzhanov, A. M. and Kadyrov, A. S.},
abstractNote = {Within a fewbody formalism, we develop a general theory of surrogate nuclear and atomic reactions with excitation of a resonance in the intermediate binary subsystem leading to three charged particles in the final state. Additionally, the Coulomb interactions between the spectator and the resonance in the intermediate state and between the three particles in the final state are taken into account. Finalstate threebody Coulomb multiplescattering effects are accounted for using the formalism of the threebody Coulomb asymptotic states based on the work published by one of the authors (A.M.M.) under the guidance of L. D. Faddeev. The formalism of the threebody Coulomb asymptotic states (CAS) was used to calculate the reaction amplitudes with three charged particles in the final state. An expression is derived for the triply differential cross section. It can be used for investigation of the Coulomb effects on the resonance line shape as well as the energy dependence of the cross section. In conclusion, we find that simultaneous inclusion of the Coulomb effects in the intermediate and final state decreases the effect of the finalstate Coulomb interactions on the triply differential cross section.},
doi = {10.1007/s0060101914899},
journal = {FewBody Systems},
number = 2,
volume = 60,
place = {United States},
year = {2019},
month = {4}
}
Web of Science
Works referenced in this record:
Trojan Horse as an indirect technique in nuclear astrophysics
journal, December 2007
 Mukhamedzhanov, A. M.; Blokhintsev, L. D.; Irgaziev, B. F.
 Journal of Physics G: Nuclear and Particle Physics, Vol. 35, Issue 1
RMatrix Theory of Nuclear Reactions
journal, April 1958
 Lane, A. M.; Thomas, R. G.
 Reviews of Modern Physics, Vol. 30, Issue 2
Reduction of an Integral in the Theory of Bremsstrahlung
journal, February 1954
 Nordsieck, A.
 Physical Review, Vol. 93, Issue 4
Breakup reactions as an indirect method to investigate lowenergy chargedparticle reactions relevant for nuclear astrophysics
journal, October 1986
 Baur, G.
 Physics Letters B, Vol. 178, Issue 23
Integral equations for Coulomb scattering wave functions and Coulomb asymptotic states
journal, January 1985
 Mukhamedzhanov, A. M.
 Theoretical and Mathematical Physics, Vol. 62, Issue 1
Coulombian asymptotic states
journal, June 1976
 van Haeringen, H.
 Journal of Mathematical Physics, Vol. 17, Issue 6
Indirect techniques in nuclear astrophysics: a review
journal, October 2014
 Tribble, R. E.; Bertulani, C. A.; Cognata, M. La
 Reports on Progress in Physics, Vol. 77, Issue 10
Works referencing / citing this record:
Astrophysical factors of ${}^{12}\mathrm{C}+{}^{12}\mathrm{C}$ fusion extracted using the Trojan horse method
journal, June 2019
 Mukhamedzhanov, A. M.; Pang, D. Y.; Kadyrov, A. S.
 Physical Review C, Vol. 99, Issue 6