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Lattice Q C D and Nuclear Physics

Lattice Q C D and Nuclear Physics. Martin Savage University of Washington. Lattice 2005, Dublin, July 2005. Emergence of Nuclear Physics from Q C D. Consistent and rigorous pathway from Q C D Lattice Q C D EFT Many-Body. M q - explicit. n.

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Lattice Q C D and Nuclear Physics

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  1. LatticeQCD and Nuclear Physics Martin Savage University of Washington Lattice 2005, Dublin, July 2005

  2. Emergence of Nuclear Physics from QCD • Consistent and rigorous pathway from QCD Lattice QCD EFT Many-Body Mq - explicit

  3. n Calculations where experiments are not possible b b - decay … • or black holes , • ….. kaon condensation ? ….. • Supernova Remnant ? • neutron stars S , K S , K n n

  4. How does nature depend upon the fundamental constants? • Quark mass dependence of element production • Dependence upon a

  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 Understand the fine-tunings of nature • Deuteron Binding energy is ~2.2 MeV • a(1s0) ~ -24 fm • Infrared fixed-point of QCD • 3 a12C

  6. NN-Scattering (s-wave) 1S0 3S1 • Mq–dependence of nuclear properties – Little is known……..this is all !!! Quenched Data (Fukugita et al, 1995) , Latt = 204 A Lattice Measurement at this mp would fix counterterms : D2

  7. Nuclear Physics with lattice QCD • University of New Hampshire • Lawrence Berkeley Laboratory • College of William and Mary • University of Groningen • University of Barcelona • University of Washington

  8. Maiani-Testa: End of the Innocence d (s) ? Away from Kinematic Thresholds at infinite volume One Hoped that GNN (s)Euclidean= GNN (s)Minkowski

  9. Two-Particle Energy Levels (Luscher) Below Inelastic Thresholds : UV regulator

  10. NN on the Lattice ~E L2 ~E L2 1st continuum 2nd continuum Deuteron 1st continuum • Calc. in Pionless EFT :5 fm lattices or larger for Mp = 140 MeV • Need Pionful theory calc. for smaller lattices • Mp = 350 MeV 2.5 fm lattices.... MILC lattices Don’t Need Huge Lattices !!!!

  11. np dg (William Detmold and MJS) N N k1 N N l1 MEC’s Asymmetric Lattice N N g g

  12. ElectroWeak Matrix Elements L X L/10 X L/10 X T lattice

  13. Hyperon Weak Interactions S-wave P-wave Lattice surface term ( Orginos )

  14. LQLQ Potential

  15. NPLQCD Current Resources : SciDAC • JLab Clusters – 8% resources ~ 40 Gflop-yrs • Chroma / QDP++ • MILC staggered Lattices • DWF Propagators of LHPC • Approved Exploratory • NN , LL, LN , SS , SN • MN - s-term , strong-isospin-breaking (PQ)

  16. I=2 pp-scattering • LHPC’s DWF valence propagators on 203 X 64 MILC staggered sea • Mp ~ 480 , 350 and 290 MeV

  17. Chiral-Extrapolation • Mp a2 = -0.0426 0.0006 0.0003 0.0018 + + + - - - ( c-PT for pp by Bijnens, Colangelo, Gasser, Leutwyler, …)

  18. L L - Prelim. • Coupled Channels ? • | a | < 1 fm

  19. Conclusion Lattice QCD studies of Nuclei and Multi-Hadron Systems are an important part of the future of Nuclear Physics.

  20. Topics that are or can or should be tackled today • Nucleon Properties … (LHPC) • MN , mN , gA , qm..n , as functions of mq , a , V • The NN Systems … • d(s) , LA1, .. • Hyperon Properties and Systems… • ML , L Np , L N L N , L L LL .. • V(R) between Hadrons with one Q : DD (Michael, Cook+Fiebig,…) • Yp Yp , YN YN , YY YY

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