Helmholtz International Center for Nuclear Structure Theory Robert Roth Institute for Nuclear Physics Technische Universität Darmstadt Helmholtz International.

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Presentation transcript:

Helmholtz International Center for Nuclear Structure Theory Robert Roth Institute for Nuclear Physics Technische Universität Darmstadt Helmholtz International Center for FAIR

Helmholtz International Center for March 6, 2008Robert Roth2 Motivation: Needs for FAIR NuSTAR Experiments: rely on predictive nuclear structure theory for nuclei far off stability identify key observables and provide guidance link observed phenomena with fundamental physics QCD Phenomenology: establish connection between low-energy QCD and nuclear structure Nuclear Astrophysics: provide nuclear structure input for simulations of astrophysical processes

Helmholtz International Center for March 6, 2008Robert Roth3 Strategy: From QCD to NuSTAR low-energy QCD QCD Phenomenology Nuclear Structure Theory Nuclear Structure & Nuclear Astrophysics QCD-based realistic nuclear interactions (ChEFT) modern effective interactions exact ab-initio many-body methods controlled many-body approximations

Helmholtz International Center for March 6, 2008Robert Roth4 Theoretical Framework for this WP Modern Effective Interactions phase-shift conserving unitary transformation of QCD-motivated nuclear Hamiltonian Unitary Correlation Operator Method (UCOM) & Similarity Renormalization Group (SRG) superior convergence properties & controllable three-body contributions Controlled Approximations ground-state properties: Hartree-Fock plus resummed many-body perturbation theory collective excitations: RPA, Second-RPA, etc. Exact Ab-Initio Methods p-shell: No-Core Shell Model (NCSM) beyond p-shell: Importance Truncated NCSM & Coupled Cluster Method Exact Ab-Initio Methods p-shell: No-Core Shell Model (NCSM) beyond p-shell: Importance Truncated NCSM & Coupled Cluster Method Controlled Approximations ground-state properties: Hartree-Fock plus resummed many-body perturbation theory collective excitations: RPA, Second-RPA, etc.

Helmholtz International Center for March 6, 2008Robert Roth5 Example: Importance Truncated NCSM reduce NCSM model space to relevant basis states using an importance measure derived from perturbation theory 16 O computational challenge: heavier & open-shell nuclei, excited states

Helmholtz International Center for March 6, 2008Robert Roth6 Example: Perturbation Theory ● HF ■ HF + PT(2) ♦ HF + ring sum ▬ Exp. computational challenge: three-body interactions pure two-body interaction V UCOM

Helmholtz International Center for March 6, 2008Robert Roth7 HIC for FAIR: Challenges & Opportunities establish UCOM/SRG interactions (NN+3N) as reliable starting point for description of exotic nuclei develop & apply IT-NCSM as universal tool for ab-initio description of spectra, transitions, densities & form factors for intermediate-mass nuclei employ resummed MBPT for prediction of ground- state properties in heavier nuclei adopt RPA, SRPA, etc. for description of collective response in heavier systems

Helmholtz International Center for March 6, 2008Robert Roth8 HIC for FAIR: Impact & Integration QCD Phenomenology Modern Nuclear Structure Theory Nuclear Astrophysics ILIMA masses EXL & ELISe mass & charge distributions R3B shell structure & collective modes HISPEC/DESPEC detailed spectroscopy NuSTAR