B=2 system in chiral soliton model Byung-Yoon Park (Chungnam National University, Korea) V. Vento (Universidad de Valencia, España ) V. Mantovani, A. Drago.

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Presentation transcript:

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

Outline Motivation Chiral soliton model B=2 system Discussion

B=4

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

Non-Topological Soliton Model Friedberg & Lee, 1977

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

No relative orientation!

y z x y z 0 x z x y

No study on B=2 system ! & ?

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

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

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

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

B=2 system in chiral soliton model

Model Lagrangian

Hedgehog Solution

B=1 hedgehog solution

Product Ansatz for B=2 system

Configuration A VqVq V VV VUVU VV

Configuration B VqVq V VV VUVU VV

Configuration C VqVq V VV VUVU VV

Inter-soliton potential energy VAVA VCVC VBVB

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.

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