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Journal Articles Physical Review C Year : 2013

Ab-initio No-Core Gamow Shell Model calculations with realistic interactions

G. Papadimitriou
  • Function : Author
J. Rotureau
  • Function : Author
N. Michel
  • Function : Author
M. Ploszajczak
  • Function : Author
B.R. Barrett
  • Function : Author

Abstract

No-Core Gamow Shell Model (NCGSM) is applied for the first time to study selected well-bound and unbound states of helium isotopes. This model is formulated in the rigged Hilbert space and, by using a complete Berggren ensemble, treats bound, resonant, and scattering states on equal footing. We use the Density Matrix Renormalization Group method to solve the many-body Schr\'{o}dinger equation. To test the validity of our approach, we benchmarked the NCGSM results against Faddeev and Faddeev-Yakubovsky exact calculations for $^3$H and $^4$He nuclei. We also performed {\textit ab initio} NCGSM calculations for the unstable nucleus $^5$He and determined the ground state energy and decay width, starting from a realistic N$^3$LO chiral interaction.

Dates and versions

in2p3-00782963 , version 1 (31-01-2013)

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Cite

G. Papadimitriou, J. Rotureau, N. Michel, M. Ploszajczak, B.R. Barrett. Ab-initio No-Core Gamow Shell Model calculations with realistic interactions. Physical Review C, 2013, 88, pp.044318. ⟨10.1103/PhysRevC.88.044318⟩. ⟨in2p3-00782963⟩
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