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)

APFB2011August 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

0 0

0

0 0

00z

xy

No study on B=2 system

! & ?

Toroidal B=2 skyrmion1988, Braaten & Carson, 1995, Leese, Manton & Schroers

Multi-Skyrmion system

B=2 Torus B=3 Tetrahedron B=4 Cube

B=5 with Dd2 sym B=6 with Dd4 sym B=7 Dodecahedron

Rational Map Ansatz 1997 Houghton, Manton, Sutcliffe

Multi-Skyrmion system

B=8 with Dd6 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

VqV

V

VU

V

Configuration B

Vq

V

V

VU

V

Configuration C

VqV

V

VU

V

Inter-soliton potential energy

VA

VC

VB

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