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Nuclear Physics on the Lattice

Nuclear Physics on the Lattice. Jiunn-Wei Chen ( 陳俊瑋 ) National Taiwan U. Introduction largely follow Martin Savage’s review talks. Nuclear Physics. Inputs: 2-4 body forces, Schrodinger equations/EFT A up to ~20, “exact” many body method up to ~100, coupled cluster calculations

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Nuclear Physics on the Lattice

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  1. Nuclear Physics on the Lattice Jiunn-Wei Chen (陳俊瑋) National Taiwan U.

  2. Introduction largely follow Martin Savage’s review talks

  3. Nuclear Physics • Inputs: 2-4 body forces, Schrodinger equations/EFT • A up to ~20, “exact” many body method up to ~100, coupled cluster calculations very large nuclei, density functional theory(?)

  4. (Still) Interesting Problems in NP Few inputs from data: • Weak interaction (double beta decays) • Involving strange quarks (hyperon decays and scattering) • Dependence on QCD parameters (light quark masses, coupling constants (EM and strong)) Fine tuning problems

  5. Fine Tuning Change in NN int. strength might make life impossible

  6. Opportunities for LQCD Few inputs from data: • Weak interaction (double beta decays) • Involving strange quarks (hyperon decays and scattering) • Dependence on QCD parameters (light quark masses, coupling constants (EM and strong)) Fine tuning problems

  7. Strategies for NP using LQCD • Inputs: 2-4 body forces, Schrodinger equations/EFT + LQCD (EFT plays an important role) • A up to ~20, “exact” many body method up to ~100, coupled cluster calculations very large nuclei, density functional theory(?)

  8. Particle Scattering on the Lattice? • Computing the pion mass on the lattice: as Scattering: ( ) gives the state! (Maiani, Testa, ‘90)

  9. Particle Scattering on the Lattice? • Luscher’s resolution (‘86): taking V finite so p is discrete Can measure phase shifts.

  10. Luscher’s formula

  11. Luscher’s formula (Luscher ’86) (Beane, Bedaque,Parreno,Savage,’03)

  12. How big the box should be in NN? • ? Matched to w/ physical paramters, • can use smaller boxes w/ • for pion mass greater than 300 MeV, NN scattering length is of natural size. L=2.6 fm used.

  13. Mixed Action pion two point function Valence quark (domain wall fermion) Sea quark (2+1 staggered)

  14. Mixed action I = 2 pi-pi scattering (NPLQCD ’05) (MAChPT: JWC, O'Connell, Van de Water, Walker-Loud ’05)

  15. NN NPLQCD ‘06

  16. NN NPLQCD’06

  17. Conclusions • LQCD is important for the future of NP. • LQCD nuclear properties from first principles. Determine the short distance physics of NEFT. However, interpretation of LQCD results relies on EFT in the short future. • LNEFT , shared configurations? thermal deformation? (Lee)

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