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Nuclei from QCD Status, Challenges and Strategy

Nuclei from QCD Status, Challenges and Strategy. Martin J. Savage University of Washington. e ( M Z ). g ( M Z ). M u. M d. M s. L QCD. L QCD. L QCD. L QCD. ,. ,. ,. ,. A Grand Challenge for QCD and Nuclear Physics.

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Nuclei from QCD Status, Challenges and Strategy

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  1. Nuclei from QCDStatus, Challenges and Strategy Martin J. Savage University of Washington

  2. e ( MZ ) g ( MZ ) Mu Md Ms LQCD LQCD LQCD LQCD , , , , A Grand Challenge for QCD and Nuclear Physics • How do the properties and interactions of nuclei depend upon the fundamental parameters of nature ? Strong Interactions AND Beyond the Standard Model

  3. 10.31 7.275 7.12 7.367 8Be + a 3 a 0 16O Fine -Tunings in Nuclear Physics are Fine-Tunings of QCD Large splitting 7.654 subthreshold + a g 4.44 Thermal Equilibrium around T8 g Fine-Tuning ~ 130 keV 0 Anthropic Principle 12C

  4. Mu Md Ms f LQCD LQCD LQCD 12C f 7.654 7.367 8Be + a Fine-tunings of 8Be + a 4.44 e ( MZ ) , , Mu Mu Mu , Md Md Md g ( MZ ) LQCD LQCD LQCD LQCD LQCD LQCD 0 Ms Ms Ms 12C LQCD LQCD LQCD Energy Scales and QCD Energy levels are … ~ LQCD f2 ( , , ) One part in 104 LQCD f1 ( , , ) LQCD f0 ( , , ) Mc , Mb , Mt ``in’’ LQCD + electroweak (Flambaum, Shuryak,…)

  5. NN Potential Short-range repulsion ??? Long-range attraction (s-wave) p - exchange Intermediate-range attraction p p - exchange N N N N ~ p N N N N Nucleon-Nucleon • Deuteron Binding energy is ~2.2 MeV • a(1s0) ~ -24 fm • Infrared fixed-point of QCD

  6. QCD Lagrangian Lattice QCD EFT Exact methods A≤12GFMC, NCSM, Lattice EFT N, 2N , 3N, 4N, … Effective Interactions A Shell Model, Coupled Cluster, …A<100 EFT and RG Density Functional Theory A>100 Lattice EFT Low-Momentum Interactions For Nuclei The Strategy : QCD to Nuclei (RIA web-site)

  7. Lattice QCD to A << 12 Nuclei • 1 meson : fp , mp , mr , BK , … • 2 meson : app • 3 meson : ? • 1 N : gA , mN , MN , s , … • 2 N : exploratory • 3 N : thoughts about exploring

  8. gA and app from Lattice QCD I=2 p p p p SciDAC JLab Lattice Chroma (Beane, Bedaque, Orginos, mjs) (R. Edward, B. Joo) cPT : V Mq a

  9. NN-Scattering (Beane, mjs ; Epelbaum,Meissner) Fully Dynamical Lattice QCD (Beane, Bedaque, Orginos, Pallante, Parreno, mjs)

  10. Light Nuclei from NN, NNN (Peiper, Wiringa and Carlson) Ground States and Excited States

  11. Chiral Symmetry and the 2N, 3N and 4N Interactions Low energy EFT of QCD Chiral symmetries of QCD Quark mass dependence Novel RG behaviour Softer interaction Weinberg , van Kolck, Kaplan, Wise, Beane, Bedaque, Hammer, Epelbaum, Meissner, Machleidt, Friar, Glockle, Nogga, Steele, Furnstahl, Chen, Rupak, Lepage, Birse, McGovern, Cohen, Stewart, Mehen, Fleming, Phillips, Lutz, Kaiser, Timmermans, mjs, ….

  12. Phenomenology of NN Forces (Bogner, Kuo, Schwenk, Entem, Machleidt,…) RG essential Phenomenological NN Potentials consistent with Chiral EFT’s

  13. The No-Core Shell Model The goal of the No-core Shell Model is to implement effective interaction theory to apply the shell model correctly Taking the model out of the shell model ! • Chiral Symmetry of QCD • Natural expansion scheme • Two-body interaction (to N3LO) • Three-body interaction (at N2LO) • Currently fit to 3H, 3He, and 4He properties • Ultimately obtained from Lattice QCD • Has better convergence properties (thanks to Erich Ormand)

  14. Early Calcs with NCSM ( E. Ormand, P. Navratil, V. Gueorguiev J. Vary)

  15. Vlow k , Chiral Potentials and Coupled Clusters for A > 12 Mihaila and Heisenberg 16O =1.9 fm-1 Wloch, Gour, Piecuch, Dean, Hjorth-Jensen, Papenbrock D. Dean, A. Schwenk, et al. Entem and Machleidt

  16. Hard-interactions : non-perturbative calculations : costly Soft-interactions : perturbative calculations : rapid convergence Density Functional Theory : G[ r , l ] expansion parameters density Very early stages of exploration…looks promising Nuclear Matter, Large Nuclei (Furnstahl,… ) (Furnstahl, Bogner, Schwenk, Nogga,…)

  17. Lattice Nuclear Physics (D.Lee, B.Borasoy and T. Schafer) Seki, Muller, van Kolck, Triton : Krebs, Hammer, Nogga, Meissner…

  18. a= 8 Conjecture : Can independently tune Mu and Md for scale invariance in both the 1S0 and 3S1-3D1 channels. Infinite number of triton bound states with Scale invariance in 2N sector Regulation in 3N system Discrete Scale invariance in 3N sector --- Infrared Limit Cycle 2 En+1 = 515 2 En Infrared Limit Cycles in QCDand what might have been !..The Braaten-Hammer Conjecture.. Lattice QCD Lattice QCD will be able to explore this (Epelbaum, Meissner)

  19. Summary • QCD Nuclei • Important progress in all relevant areas • Lattice QCD • Chiral EFTs • Model-independent, perturbative calculations in light nuclei • Coupled Clusters • Density Functional Theory • Lattice Nuclear Physics • Fine-tunings of nuclear physics • Need to be studied as functions of Mu, Md, Ms , LQCD, e.

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