Jost function formalism with complex potential
Vol. 132 No. 1D (2023), Original Article
Vol. 132 No. 1D (2023)

Jost function formalism with complex potential

Original Article
https://doi.org/10.26459/hueunijns.v132i1D.7111
Published 2023-12-30
K. Mizuyama*
Institute of Research and Development, Duy Tan University, Da Nang, VietNam`
T. Dieu Thuy
Faculty of Physics, University of Education, Hue University, 34 Le Loi Street, Hue, Vietnam
D. Quang Tam
Faculty of Physics, University of Education, Hue University, 34 Le Loi Street, Hue, Vietnam
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Keywords

nuclear physics
nuclear structure
Jost Function
complex potential

How to Cite

1.
Mizuyama K, Tran DT, Do Quang T. Jost function formalism with complex potential. hueuni-jns [Internet]. 2023Dec.30 [cited 2024Nov.23];132(1D):87-9. Available from: http://222.255.146.83/index.php/hujos-ns/article/view/7111
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Abstract

The Jost function formalism is extended with use of the complex potential in this paper. We derive the Jost function by taking into account the dual state which is defined by the complex conjugate the complex Hamiltonian. By using the unitarity of the S-matrix which is defined by the Jost function, the optical theorem with the complex potential is also derived. The role of the imaginary part of the complex potential for both the bound states and the scattering states is figured out. The numerical calculation is performed by using the complex Woods-Saxon potential, and some numerical results are demonstrated to confirmed the properties of extended Jost function formalism.

https://doi.org/10.26459/hueunijns.v132i1D.7111
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References

  1. Feshbach H, Porter CE, Weisskopf VF. Model for Nuclear Reactions with Neutrons. Physical Review. 1954;96(2):448-64.
  2. Feshbach H. Unified theory of nuclear reactions. Annals of Physics. 1958;5(4):357-90.
  3. Kunieda S, Chiba S, Shibata K, Ichihara A, SukhovitskĨ ES. Coupled-channels Optical Model Analyses of Nucleon-induced Reactions for Medium and Heavy Nuclei in the Energy Region from 1 keV to 200 MeV. Journal of Nuclear Science and Technology. 2007;44(6):838-52.
  4. Perey F, Buck B. A non-local potential model for the scattering of neutrons by nuclei. Nuclear Physics. 1962;32:353-80.
  5. Mizuyama K, Ogata K. Self-consistent microscopic description of neutron scattering by ${}^{16}$O based on the continuum particle-vibration coupling method. Physical Review C. 2012;86(4):041603.
  6. Mizuyama K, Ogata K. Low-lying excited states of $^{24}mathrm{O}$ investigated by a self-consistent microscopic description of proton inelastic scattering. Physical Review C. 2014;89(3):034620.
  7. Hao TVN, Loc BM, Phuc NH. Low-energy nucleon-nucleus scattering within the energy density functional approach. Physical Review C. 2015;92(1):014605.
  8. Blanchon G, Dupuis M, Arellano HF, Vinh Mau N. Microscopic positive-energy potential based on the Gogny interaction. Physical Review C. 2015;91(1):014612.
  9. Lane AM, Thomas RG. R-Matrix Theory of Nuclear Reactions. Reviews of Modern Physics. 1958;30(2):257-353.
  10. Kapur PL, Peierls RE. The dispersion formula for nuclear reactions. Proc Roy Soc. 1938;166A:277.
  11. Wigner EP, Eisenbud L. Higher Angular Momenta and Long Range Interaction in Resonance Reactions. Physical Review. 1947;72(1):29-41.
  12. Mizuyama K, Colò G, Vigezzi E. Continuum particle-vibration coupling method in coordinate-space representation for finite nuclei. Physical Review C. 2012;86(3):034318.
  13. Mizuyama K, Le NN, Thuy TD, Hao TVN. Jost function formalism based on the Hartree-Fock-Bogoliubov formalism. Physical Review C. 2019;99(5):054607.
  14. Atkinson MC, Mahzoon MH, Keim MA, Bordelon BA, Pruitt CD, Charity RJ, et al. Dispersive optical model analysis of $^{208}mathrm{Pb}$ generating a neutron-skin prediction beyond the mean field. Physical Review C. 2020;101(4):044303.
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