1. Nucleon-Nucleon Interaction in Skyrme Model Park Byung-Yoon Chungnam University, Korea 8 th APCTP-JINR Joint Workshop 2014. 6. 30 ~ 7. 4 Jeju Island

2. Contents Introduction What if? Primitive results Discussions

3. I. What is the problem?

4. Skyrme Model 1960, T. H. R. Skyrme baryon ? U(x)=exp(i  /f  ) : mapping from R 3 -{ }=S 3 to SU(2)=S 3 8 topological soliton R ~ 1 f m M ~ 1.5 GeV

5. Two skyrmions 1960, T. H. R. Skyrme  /2 Most repulsive  Most attractive U(r-r1)U(r-r2)U(r-r1)U(r-r2) U(r-r1)AU(r-r2)A+U(r-r1)AU(r-r2)A+

6. Two skyrmions 1985, Jackson, Jackson, Pasquier  /2 

8. Interpretation through the quark hedgehog model

14. Paris potential Exchange of Isoscalar-scalar meson ~ two S-wave pions

15. Its absence in the present calculation is the most conspicuous fly in an ointment of otherwise surprisingly satisfactory quality.

16. H. Abe, : 1/N c effect attraction in  N interaction M. Oka, PRL: product Ansatz quasi-static field configuration

17. However, B=2 B=3 B=4 B=1 hedgehog

18. II. What will happen in the model with explicit  ?

19. HLS Lagrangian

22. Minimal HLS Lagrangian

23. B=1 hedgehog skyrmion

24. B=2 : product Ansatz relative orientation 1 0

25.  VCVC VBVB VAVA V central

26.  VCVC VBVB VAVA V central

27. Discussion We have applied the skyrmion picture to study NN interaction in the HLS model with  � central attraction in the intermediate range? : not yet! But, V C ~ V B � Role of vector mesons and dilaton  in the NN potential?