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16/3/2015 Baryon-Baryon Interactions From Lattice QCD Martin Savage University of Washington K (Hyperons 2006, Mainz, Germany)
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26/3/2015 A Grand Challenge for QCD and Nuclear Physics MuMu QCD MdMd MsMs e ( M Z ) g ( M Z ),,, QCD, How do the properties and interactions of nuclei depend upon the fundamental parameters of nature ? Fundamental physics and intellectual curiosity Fine-tunings
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36/3/2015 The Strategy : QCD to Nuclei QCD Lagrangian N, 2N, 3N, 4N, … Effective Interactions Low-Momentum Interactions For Nuclei EFT and RG Lattice QCD A Exact methods A≤12 GFMC, NCSM, Lattice EFT Shell Model, Coupled Cluster, … A<100 Density Functional Theory ?? Lattice EFT A>100 ( HYP 2006 )
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46/3/2015 Chiral Symmetry and the 2N, 3N and 4N Interactions Low energy EFT of QCD Quark mass dependence Softer interaction Counterterms !!!!
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56/3/2015 g A from Lattice QCD (LHPC) JLab Lattice Chroma PT : V M q a SciDAC Mixed Action: DWF on Staggered Lattices (R. Edwards, B. Joo)
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66/3/2015 Strong Isospin Breaking from Isospin Symmetric Lattices Neutron-Proton Mass Difference : Quark mass differences, m d -m u Electromagnetism Partially-Quenched Lattice Calculations + Theory M n - M p = 2.26+-0.57+-0.42+-0.10 MeV expt = 2.05 +- 0.3 MeV Electromagnetism
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76/3/2015 Maiani-Testa: End of the Innocence (s) ? G NN (s) Euclidean = G NN (s) Minkowski One Hopes that Away from Kinematic Thresholds
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86/3/2015 a from Lattice QCD (S. Beane, P. Bedaque, K. Orginos, mjs ; PRD73, 054503 (2006)) JLab Lattice Chroma PT : V M q a Mixed-Action (Chen, O’Connel Van de Water, Walker-Loud) SciDAC (R. Edward, B. Joo) N f = 2+0 N f = 2+1
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96/3/2015 K + + Scattering Length (S.Beane, P.Bedaque, T.Luu, K.Orginos, E.Pallante, A.Parreno, mjs ; hep-lat/0607036)
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106/3/2015 K Scattering Lengths Lattice QCD + Chiral Symmetry
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116/3/2015 NN Correlators 1S01S0 3 S 1 - 3 D 1 G Fully-Dynamical QCD Domain-Wall Valence on rooted-Staggered Sea C n Exp [-E n t] n C 0 Exp [-E 0 t]
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126/3/2015 Two-Particle Energy Levels (Luscher) UV regulator Below Inelastic Thresholds : Measure on lattice
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136/3/2015 NN Scattering: Chiral Extrapolation (S.R. Beane, P.F. Bedaque, K. Orginos, mjs ; PRL97, 012001 (2006)) 1 S 0 : pp, pn, nn 3 S 1 - 3 D 1 : pn : deuteron a ~ 1/m
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146/3/2015 - n 1 S 0 --- I=3/2, J=0, s=1 a (t) Log[ G ] Fully-Dynamical QCD Domain-Wall Valence on rooted-Staggered Sea (S.Beane, P.Bedaque, T.Luu, K.Orginos, E.Pallante, A.Parreno, mjs ) M = 497 MeV PRELIMINARYPRELIMINARY
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156/3/2015 Interactions --- I=0, J=0, s=2 -ve Energy Shift ? M = 590 MeV
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166/3/2015 Ql – Ql Potentials.. A toy for NN e.g. B-mesons Q Q Q Q Direct Exchange Quenched M ~ 420 MeV M ~ 700 MeV Light d.o.f : S=1/2, I=1/2 (I,S) = (0,0), (0,1), (1,0), (1,1)
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176/3/2015 Quenched : a=0.10 fm, L=1.6 fm 150 cfgs
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186/3/2015 Tensor Force ?
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196/3/2015 Summary and Outlook Lattice QCD is an important part of the future of (Hyper-) Nuclear Physics (Hyper-) Nuclear Physics 1/ Reproduce what is known 1/ Reproduce what is known 2/ Calculate quantities that are poorly known or not known at all! 2/ Calculate quantities that are poorly known or not known at all! n, n, n, n, First motion toward rigorous QCD calculations (via EFT’s) of properties and interactions of nuclei. Coherent effort between numerical and analytic investigations. nn , K
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206/3/2015
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216/3/2015 M = 350 MeV 2.5 fm lattices... M = 350 MeV 2.5 fm lattices... TODAY !! TODAY !! NN on the Lattice: Unnatural Scattering Lengths (Beane, Bedaque, Parreno, mjs) ~E L 2 Deuteron 1st continuum 2nd continuum
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226/3/2015 Energy Scales and QCD 8 Be + 7.367 12 C 0 4.44 7.654 MuMu QCD MdMd MsMs QCD f 2 (,, ) MuMu QCD MdMd MsMs QCD f 1 (,, ) MuMu QCD MdMd MsMs QCD f 0 (,, ) Energy levels are … + electroweak M c, M b, M t ``in’’ QCD
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236/3/2015 Interactions -ve Energy Shift ?
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