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Electric Dipole Transitions Within The Ab initio No-Core Shell Model With Continuum

Technical Report ·
DOI:https://doi.org/10.2172/1053666· OSTI ID:1053666
 [1];  [1];  [1]
  1. Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
The no-core shell model with continuum (NCSMC) offers a unified approach to nuclear bound and continuum states based on the coupling of the no-core shell model (NCSM), a bound-state tech nique, with the no-core shell model/resonating group method (NCSM/RGM), a nuclear scattering technique. This new ab initio method leads to convergence properties superior to either NCSM or NCSM/RGM while providing a balanced approach to different classes of states. The NCSMC many nucleon wave function contains: i) a pre-diagonalized A-nucleon NCSM component expanded in the harmonic oscillator basis; ii) a binary-cluster NCSM/RGM component with asymptotic boundary conditions that properly describe weakly bound states, resonances and scattering. Here, we review the main aspects of the NCSM formalism, and provide algebraic expression for the reduced matrix elements of the electric dipole operator, needed to calculate E1 transition probabilities, radiative captures and photodisintegration cross sections.
Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE
DOE Contract Number:
W-7405-ENG-48;
OSTI ID:
1053666
Report Number(s):
LLNL--TR-588973
Country of Publication:
United States
Language:
English

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