Nuclei from QCD Status, Challenges and Strategy

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Nuclei from QCDStatus, Challenges and Strategy

• Martin J. Savage
• University of Washington

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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
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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
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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,)
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Nucleon-Nucleon

• Deuteron Binding energy is 2.2 MeV
• a(1s0) -24 fm
• Infrared fixed-point of QCD

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The Strategy QCD to Nuclei
(RIA web-site)
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Lattice QCD to A ltlt 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

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gA and app from Lattice QCD
I2 p p p p
SciDAC
JLab Lattice
Chroma
(Beane, Bedaque, Orginos, mjs)
(R. Edward, B. Joo)
cPT V Mq a
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NN-Scattering
(Beane, mjs Epelbaum,Meissner)
Fully Dynamical Lattice QCD
(Beane, Bedaque, Orginos, Pallante, Parreno, mjs)
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Light Nuclei from NN, NNN
(Peiper, Wiringa and Carlson)
Ground States and Excited States
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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, .
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Phenomenology of NN Forces
(Bogner, Kuo, Schwenk, Entem, Machleidt,)
RG essential
Phenomenological NN Potentials consistent with
Chiral EFTs
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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)
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Early Calcs with NCSM
( E. Ormand, P. Navratil, V. Gueorguiev J. Vary)
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Vlow k , Chiral Potentials and Coupled Clusters
for A gt 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
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Nuclear Matter, Large Nuclei
(Furnstahl, )
(Furnstahl, Bogner, Schwenk, Nogga,)
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Lattice Nuclear Physics
(D.Lee, B.Borasoy and T. Schafer)
Seki, Muller, van Kolck, Triton Krebs,
Hammer, Nogga, Meissner
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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)
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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.