Hadron - Hadron Interactions 12 GeV  and Lattice QCD --- Martin Savage Color Transparancy --- Jean-Marc Laget Presentation…… November 5, 2004, JLab

Conceptual Point Quark View Hadron View Short-DistanceLong-Distance – Where is the interesting physics? P >>   P <<   or

Deep Inelastic Scattering 1/Q 1/Q << r << 1/  r ~ 1/  N,  r >> 1/  N 

Pionic-DVCS     

 N Interactions  Nucleon Q Q QQ r QQ p ~ 1/ r QQ p << 1/ r QQ c 1 G  G  C 2 G  G v  v + < N || N > Rough Estimate Lattice QCD Symmetries, Expt, or Lattice QCD

  2s)   1s)  Fit to Data Expect : d 1,2 ~ r QQ 3 consistent ! Want : c 1,2 and d 1,2

 * N  N   N N   N N  Psionic-DVCS ???? Useful??? Rigour??? High Energy  Rigour??? ?

 * d  N K   N K   N K  Lambda-onic-DVCS ??? Useful??? Rigour???? High Energy  Rigour??? N N N N

Nuclear Physics and lattice QCD University of Washington Lawrence Berkeley Laboratory University of New Hampshire University of Barcelona LHPC JLabMIT University of Maryland

Topics that are or can or should be tackled today with Lattice QCD Nucleon and  Properties … M N,  N, g A,  , as functions of m q, a, V M N,  N, g A,  , as functions of m q, a, V The NN Systems …  (s), L A 1,..  (s), L A 1,.. Hyperon Properties and Systems… M ,  N ,  N  N.. M ,  N ,  N  N.. V(R) between Mesons and Baryons with one Q : DD 

Maiani-Testa: End of the Innocence,  Scattering  (s) ? G NN (s) Eucl = G NN (s) Mink Away from Kinematic Thresholds at infinite Volume CP-PACS 

NN-Scattering M q –dependence of nuclear properties – Little is known……..this is all !!! Quenched Data (Fukugita et al, 1995), Latt = 20 4 A Lattice Measurement at this m  would fix counterterms : D 2

ElectroWeak Matrix Elements L X L/10 X L/10 X T lattice (William Detmold and MJS)

Comments Coherent Lattice QCD and experimental program  N and  N Interactions look promising Potentially exciting program in charm physics