Lattice QCD and Nuclear Physics

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Lattice QCD and Nuclear Physics
Martin Savage University of Washington
Lattice 2005, Dublin, July 2005
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Emergence of Nuclear Physics from QCD

• Consistent and rigorous pathway from QCD
• Lattice QCD EFT
  Many-Body

Mq - explicit
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Calculations where experiments are not possible

• Supernova Remnant ?
• neutron stars

• b b - decay

or
black holes , .. kaon condensation ? ..
S , K
S , K
n
n
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How does nature depend upon the fundamental
constants?

• Quark mass dependence of element production
• Dependence upon a

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Understand the fine-tunings of nature

• Deuteron Binding energy is 2.2 MeV
• a(1s0) -24 fm
• Infrared fixed-point of QCD
• 3 a 12C

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NN-Scattering (s-wave)
1S0
3S1
Quenched Data (Fukugita et al, 1995) , Latt 204
A Lattice Measurement at this mp would fix
counterterms D2

• Mqdependence of nuclear properties Little is
  known..this is all !!!

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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

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Maiani-Testa End of the Innocence
d (s) ?
Away from Kinematic Thresholds at infinite volume
One Hoped that
GNN (s)Euclidean GNN
(s)Minkowski
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Two-Particle Energy Levels (Luscher)
Below Inelastic Thresholds
UV regulator
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NN on the Lattice
E L2
E L2
1st continuum
2nd continuum
Deuteron
1st continuum
Dont Need Huge Lattices !!!!

• 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

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np dg
(William Detmold and MJS)
N
N
k1
N
N
l1
MECs
Asymmetric Lattice
N
N
g
g
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ElectroWeak Matrix Elements
L X L/10 X L/10 X T lattice
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Hyperon Weak Interactions
S-wave
P-wave
Lattice
surface term
( Orginos )
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LQ LQ Potential
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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)

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I2 pp-scattering

• LHPCs DWF valence propagators on 203 X 64 MILC
  staggered sea
• Mp 480 , 350 and 290 MeV

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Chiral-Extrapolation

• Mp a2 -0.0426 0.0006 0.0003 0.0018

-
-
-
( c-PT for pp by Bijnens, Colangelo, Gasser,
Leutwyler, )
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L L - Prelim.

• Coupled Channels ?
• a

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Conclusion

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

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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
  L L ..
• V(R) between Hadrons with one Q DD
  (Michael, CookFiebig,)
• Yp Yp , YN YN , YY
  YY