Hadron - Hadron Hadron - Hadron InteractionsInteractions

JLab @ 12 GeVJLab @ 12 GeV

and Lattice QCD --- Martin SavageColor Transparancy --- Jean-Marc Laget

Presentation……

November 5, 2004, JLab

Conceptual PointConceptual Point

Quark View Hadron View

Short-Distance Long-Distance

– Where is the interesting physics?

P >> P << or

Deep Inelastic ScatteringDeep Inelastic Scattering

1/Q1/Q << r << 1/

r ~ 1/

N ,

r >> 1/

N

Pionic-DVCSPionic-DVCS

N InteractionsN Interactions

Nucleon

Q Q

Q Q

rQQ

p ~ 1/ rQQ p << 1/ rQQ

c1 G G C2 G G v v +< N | | N >

Rough Estimate Lattice QCD

Symmetries, Expt, or Lattice QCD

2s)2s) 1s)1s)

Fit to Data Expect : d1,2 ~ rQQ

3

consistent !

Want : c1,2 and d1,2

* N * N N N

N

N

N

N

Psionic-DVCS ???? Useful??? Rigour???

High Energy Rigour???

?

* d * d N K N K

N

K

N

K

Lambda-onic-DVCS ??? Useful??? Rigour????

High Energy Rigour???

N

N

N

N

Nuclear Physics and lattice Nuclear Physics and lattice QQCCDD

University of WashingtonUniversity of Washington

Lawrence Berkeley LaboratoryLawrence Berkeley Laboratory

University of New HampshireUniversity of New Hampshire

University of BarcelonaUniversity of Barcelona

LHPC

JLabJLab

MITMIT

University of MarylandUniversity of Maryland

Topics that Topics that areare or or cancan or or shouldshould be be tackled today with Lattice tackled today with Lattice QQCCDD

Nucleon and Nucleon and Properties … Properties … MMNN , , N N , g, gAA , , , as functions of m , as functions of mqq , a , V , a , V

The NN Systems … The NN Systems … (s) , L(s) , LAA

11,, .. ..

Hyperon Properties and Systems… Hyperon Properties and Systems… MM , , N N , , N N N .. N ..

V(R) between Mesons and Baryons with one Q : DD

Maiani-Testa: End of the Innocence,Maiani-Testa: End of the Innocence, Scattering Scattering

(s) ?

GNN (s)Eucl = GNN (s)Mink

Away from Kinematic Thresholdsat infinite Volume

CP-PACS

NN-ScatteringNN-Scattering

MMqq–dependence of nuclear properties – Little is –dependence of nuclear properties – Little is

known……..this is all !!!known……..this is all !!!

Quenched Data (Fukugita et al, 1995) , Latt = 204

A Lattice Measurement at this m would fix counterterms : D2

ElectroWeak Matrix ElementsElectroWeak Matrix Elements

L X L/10 X L/10 X T lattice

(William Detmold and MJS)

CommentsComments

Coherent Lattice Coherent Lattice QQCCDD and experimental and experimental programprogram

N and N and N Interactions look promisingN Interactions look promising

Potentially exciting program in charm Potentially exciting program in charm physicsphysics