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Title: 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 few-body 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. Final-state three-body Coulomb multiple-scattering effects are accounted for using the formalism of the three-body 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 three-body 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 final-state Coulomb interactions on the triply differential cross section.

Authors:
 [1]; ORCiD logo [2]
  1. Texas A & M Univ., College Station, TX (United States)
  2. 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; FG02-93ER40773
Resource Type:
Accepted Manuscript
Journal Name:
Few-Body Systems
Additional Journal Information:
Journal Volume: 60; Journal Issue: 2; Journal ID: ISSN 0177-7963
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/s00601-019-1489-9.
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/s00601-019-1489-9.
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/s00601-019-1489-9. 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 few-body 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. Final-state three-body Coulomb multiple-scattering effects are accounted for using the formalism of the three-body 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 three-body 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 final-state Coulomb interactions on the triply differential cross section.},
doi = {10.1007/s00601-019-1489-9},
journal = {Few-Body Systems},
number = 2,
volume = 60,
place = {United States},
year = {2019},
month = {4}
}

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    Astrophysical factors of C 12 + C 12 fusion extracted using the Trojan horse method
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