The Coulomb divergence in (d,p) reactions based on Faddeev-Alt-Grassberger-Sandhas equation


(d,p) reactions
Faddeev-Alt-Grassberger-Sandhas equation
Coulomb problem

How to Cite

Hoang DN, Tran VNH. The Coulomb divergence in (d,p) reactions based on Faddeev-Alt-Grassberger-Sandhas equation. hueuni-jns [Internet]. 2022Dec.31 [cited 2024Jun.24];131(1D):115-20. Available from:


The Faddeev-Alt-Grassberger-Sandhas equation is the most performance formalism to describe the (d,p) reactions since it can exactly and simultaneously treat the elastic, inelastic, transfer, and breakup reactions. In this brief report, we describe the progress and some main difficulties in treating the Coulomb interaction in the direct elastic scattering of the (d,p) reaction by using the Faddeev-Alt-Grassberger-Sandhas equation.


  1. Nunes FM, Deltuva A. Adiabatic approximation versus exact Faddeev method for ($d,p$) and ($p,d$) reactions. Physical Review C. 2011;84(3):034607.
  2. Alt EO, Grassberger P, Sandhas W. Reduction of the three-particle collision problem to multi-channel two-particle Lippmann-Schwinger equations. Nuclear Physics B. 1967;2(2):167-80.
  3. Alt EO, Blokhintsev LD, Mukhamedzhanov AM, Sattarov AI. Deuteron elastic scattering and stripping processes off $^{12}mathrm{C}$ as a three-body problem. Physical Review C. 2007;75(5):054003.
  4. Alt EO, Kadyrov AS, Mukhamedzhanov AM. Approximate triangle amplitude for three-body charge exchange processes. Physical Review A. 1996;53(4):2438-42.
  5. Alt EO, Kadyrov AS, Mukhamedzhanov AM. Triangle amplitude with off-shell Coulomb T matrix for exchange reactions in atomic and nuclear physics. Physical Review A. 1996;54(5):4091-105.
  6. Deltuva A. Spin observables in three-body direct nuclear reactions. Nuclear Physics A. 2009;821(1):72-9.
  7. Alt EO, Mukhamedzhanov AM, Nishonov MM, Sattarov AI. Proton-deuteron elastic scattering from 2.5 to 22.7 MeV. Physical Review C. 2002;65(6):064613.
  8. Nhan Hao TV, Nhu Le N, Thao PH. Triangular exchange diagram within the full off-shell coulomb T-matrix in deuteron induced reactions. Hue University Journal of Science: Natural Science. 2018;127(1A):33-42.
  9. Nhan Hao TV, Pham VNT, Nguyen HK. Spin observables of (d,p) reactions off $^{12}$C within the Paris potential. Hue University Journal of Science: Natural Science. 2019;128(1D):39-42.
  10. Mukhamedzhanov AM, Eremenko V, Sattarov AI. Generalized Faddeev equations in the Alt-Grassberger-Sandhas form for deuteron stripping with explicit inclusion of target excitations and Coulomb interaction. Physical Review C. 2012;86(3):034001.
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