1. B=2 system in chiral soliton model Byung-Yoon Park (Chungnam National University, Korea) V. Vento (Universidad de Valencia, España ) V. Mantovani, A. Drago (Università di Ferrara, Italia) APFB2011 August 25, Seoul

2. Outline Motivation Chiral soliton model B=2 system Discussion

3. B=4

4. Skyrme model for Finite Density & Temperature B.-Y. Park & V. Vento, Multifaceted Skyrmion, 2010

5. Non-Topological Soliton Model Friedberg & Lee, 1977

7. Quark Energy Band Phys. Rev. C 36(1987)

10. No relative orientation!

12. y z x y z 0 x 00 0 00 00z x y

13. No study on B=2 system ! & ?

14. Toroidal B=2 skyrmion 1988, Braaten & Carson, 1995, Leese, Manton & Schroers

15. Multi-Skyrmion system B=2 Torus B=3 Tetrahedron B=4 Cube B=5 with D d2 sym B=6 with D d4 sym B=7 Dodecahedron Rational Map Ansatz 1997 Houghton, Manton, Sutcliffe

16. Multi-Skyrmion system B=8 with D d6 sym. B=9 Tetrahedron B=17 Bucky Ball B=5 Octahedron B=11 Icosahedron (continued)

17. Multi- skyrmion System (continued) Fullerine Structures 2001 Battye, Sutcliffe

18. B=2 system in chiral soliton model

19. Model Lagrangian

20. Hedgehog Solution

21. B=1 hedgehog solution

22. Product Ansatz for B=2 system

27. Configuration A VqVq V VV VUVU VV

28. Configuration B VqVq V VV VUVU VV

29. Configuration C VqVq V VV VUVU VV

30. Inter-soliton potential energy VAVA VCVC VBVB

31. Summary We have obtained an approximated solutions to B=2 system in the model. They can be used - in searching the better solutions for the studies of the nuclear force, - in constructing the dense system.

32. Future Work Baryon-Baryon Interaction Multi-Baryon Systems Baryonic Matter