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Ab initio Hamiltonian approach to nuclear physics and to light-front field theory

Ab initio nuclear physics - fundamental questions. Can we develop a predictive theory from QCD to nuclear reactions What controls nuclear saturation? How does the nuclear shell model emerge from the underlying theory? What are the properties of nuclei with extreme neutron/proton ratios? C

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Ab initio Hamiltonian approach to nuclear physics and to light-front field theory

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    5. Fundamental Challenges for a Successful Theory What is the Hamiltonian How to renormalize in a Hamiltonian framework How to solve for non-perturbative observables How to take the continuum limit (IR -> 0, UV-> )

    8. Adopt realistic NN (and NNN) interaction(s) & renormalize as needed - retain induced many-body interactions: Chiral EFT interactions and JISP16 Adopt the 3-D Harmonic Oscillator (HO) for the single-nucleon basis states, ?, ?,… Evaluate the nuclear Hamiltonian, H, in basis space of HO (Slater) determinants (manages the bookkeepping of anti-symmetrization) Diagonalize this sparse many-body H in its “m-scheme” basis where [? =(n,l,j,mj,?z)] Evaluate observables and compare with experiment

    10. Why do we need alternative ab initio no core methods or new ab initio methods with a core?Why do we need alternative ab initio no core methods or new ab initio methods with a core?

    13. ab initio NCSM with ?EFT Interactions Only method capable to apply the ?EFT NN+NNN interactions to all p-shell nuclei Importance of NNN interactions for describing nuclear structure and transition rates Better determination of the NNN force itself, feedback to ?EFT (LLNL, OSU, MSU, TRIUMF) Implement Vlowk & SRG renormalizations (Bogner, Furnstahl, Maris, Perry, Schwenk & Vary, NPA 801, 21(2008); ArXiv 0708.3754) Response to external fields - bridges to DFT/DME/EDF (SciDAC/UNEDF) - Axially symmetric quadratic external fields - in progress - Triaxial and spin-dependent external fields - planning process Cold trapped atoms (Stetcu, Barrett, van Kolck & Vary, PRA 76, 063613(2007); ArXiv 0706.4123) and applications to other fields of physics (e.g. quantum field theory) Effective interactions with a core (Lisetsky, Barrett, Navratil, Stetcu, Vary) Nuclear reactions & scattering (Forssen, Navratil, Quaglioni, Shirokov, Mazur, Vary)

    18. Light front variables from Frank Woelz’s lectures in the light front school proceedings Run the tex file pro96_jpv.tex under textures Light front variables from Frank Woelz’s lectures in the light front school proceedings Run the tex file pro96_jpv.tex under textures

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