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KPS2005(LENS) October 20, 2005. Neutral pion decay in Dense Skyrmion Matter. B.-Y. Park (Chungnam Nat’l Univ.) A. Kalloniatis(Univ. of Adelaide). Non-linear s Model. Pion dynamics. Higher order derivative terms & baryonic degrees of freedom. Skyrme’s Old Idea.
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KPS2005(LENS) October 20, 2005 Neutral pion decayin Dense Skyrmion Matter B.-Y. Park(Chungnam Nat’l Univ.) A. Kalloniatis(Univ. of Adelaide)
Non-linear s Model Pion dynamics Higher order derivative terms & baryonic degrees of freedom
Skyrme’s Old Idea U(x) : mapping fromR3-{ }=S3toSU(2)=S3 8 topological soliton R ~ 1 f m M ~ 1.5 GeV 1960, T. H. R. Skyrme baryon ?
static soliton config. fluctuating pions Unified approach to pion-baryon system
Pion in the dense baryonic matter? classical ground state config. static soliton config. fluctuating pions
e.g. effective mass H.-J. Lee, B.-Y. Park, D.-P. Min, M. Rho, V. Vento, Nucl. Phys. A (2003)
Skyrme Model(mp=0) \ Pion fluctuation in rB=0 space Vacuum : U=1
pdynamics(r=0) \ Skyrmion matter Pion fluctuations on top of the skyrmion matter + p-skyrmion matter interactions
pdynamics(r=0) \ In-Medium pion decay constant ? In-Medium pion mass ?
pion effective mass H.-J. Lee, B.-Y. Park, D.-P. Min, M. Rho, V. Vento, Nucl. Phys. A (2003)
e.g.#2 pion velocity H.-J. Lee, B.-Y. Park, M. Rho, V. Vento, Nucl. Phys. A (2004)
pdynamics(r=0) Pion-BG interactions 0th-order propagator \
S = …. + +
S S S = + Pion propagator in medium + + Pion velocity in medium
Pion velocity in medium H.-J. Lee, B.-Y. Park, M. Rho, V. Vento, Nucl. Phys. A (2004)
p0 -> ggin Dense Skyrmion Matter A. Kalloniatis, B.-Y. Park, PRD71, 034010 (2005)
U(1) gauged Skyrme Model with Gauging U(1) symmetry under with
U(1) gauged Skyrme Model Gauging U(1) symmetry under with Gauged Wess-Zumino-Witten term
Pion fluctuation in rB=0 space Vacuum : U=1
Pion fluctuation in rB=0 space Skyrmion matter : U0 \ s(x) Gab(x) C(U0) D(U0) F(U0)
p0 -> nnin Dense Skyrmion Matter A. Kalloniatis, C. Janathan, B.-Y. Park, PRD71,114001 (2005)
Gauging Skyrme Model Electroweak vector fields with
p0 -> nn possible? n Z n Z Z p0 p0 _ _ n n Z Impossible for massless neutrinos
In medium? n Z p0 _ n In-medium modified “effective” vertex Again impossible for massless neutrinos
In medium? n Z p0 _ n possible if the background potential provide momentum
In medium? _ n A. Kalloniatis, C. Janathan, B.-Y. Park, PRD71, 114001 (2005) n Z p0 In-medium modification of the pion propagator Lorentz symmetry break down possible !
Future Work n g p0 _ g n
Pion in the dense baryonic matter? classical ground state config. fluctuating pions