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Effective operators, interactions and the no-core shell model (NCSM)

Nuclear Physics 621. Effective operators, interactions and the no-core shell model (NCSM). George Papadimitriou. Closed core , no excitations!. Challenges. The traditional shell model. (from:Nucl.Phys.A630, 239c). The magic numbers are used as a truncation of the Hilbert space.

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Effective operators, interactions and the no-core shell model (NCSM)

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  1. Nuclear Physics 621 Effective operators, interactions and the no-core shell model (NCSM) George Papadimitriou

  2. Closed core, no excitations! Challenges The traditional shell model (from:Nucl.Phys.A630, 239c) • The magic numbers are used as a • truncation of the Hilbert space The goal of the No-core Shell Model is to implement effective interaction theory to apply the shell model correctly We want to take the model out of the shell model Now, all the nucleons are active!

  3. Ideas behind the NCSM How i solve the problem? • Choose subspace of φ for a calculation (P-space) • We include most of the relevant physics • Q -space (excluded - infinite) plus Q P i have a typical eigenvalue problem P-space defined by NmaxhΩ P Q P Q Suzuki and Lee S Y, 1980 Prog.Theor.Phys 64 2091 But… Once I obtain ω the problem is solved! • Disadvantages: 1)Generation of 3,4,….A-body forces unavoidable • 2)Observables other that energy must be transformed Short range infinite repulsion

  4. 4He with the effective-field theory Idaho-A potential 3He with CD-Bonn and N3LO • To conclude: The road map of the NCSM is: • Choose a NN interaction • Determine Heffin a given model space • Diagonalize Heff in this model space • Check the convergence of results Happy Christmas!!!!

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