Neutral pion decay in Dense Skyrmion Matter

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Neutral pion decayin Dense Skyrmion Matter
KPS2005(LENS) October 20, 2005
B.-Y. Park(Chungnam Natl Univ.) A.
Kalloniatis(Univ. of Adelaide)
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Non-linear s Model
Pion dynamics
Higher order derivative terms baryonic degrees
of freedom
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Skyrmes Old Idea
1960, T. H. R. Skyrme
baryon ?
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static soliton config.
fluctuating pions
Unified approach to pion-baryon system
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Skyrmion Crystal
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static soliton config.
classical ground state config.
fluctuating pions
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Basic Idea
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e.g. effective mass
H.-J. Lee, B.-Y. Park, D.-P. Min, M. Rho, V.
Vento, Nucl. Phys. A (2003)
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Skyrme Model(mp0)
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Pion fluctuation in rB0 space Vacuum U1
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p dynamics(r0)
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Skyrmion matter
Pion fluctuations on top of the skyrmion matter
p-skyrmion matter interactions
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p dynamics(r0)
\
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p dynamics(r0)
\
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p dynamics(r0)
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In-Medium pion decay constant ?
In-Medium pion mass ?
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pion effective mass
H.-J. Lee, B.-Y. Park, D.-P. Min, M. Rho, V.
Vento, Nucl. Phys. A (2003)
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e.g.2 pion velocity
H.-J. Lee, B.-Y. Park, M. Rho, V. Vento, Nucl.
Phys. A (2004)
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p dynamics(r0)
\
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Pion propagator in medium


Pion velocity in medium
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Pion velocity in medium
H.-J. Lee, B.-Y. Park, M. Rho, V. Vento, Nucl.
Phys. A (2004)
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p0 -gt gg in Dense Skyrmion Matter
A. Kalloniatis, B.-Y. Park, PRD71, 034010 (2005)
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U(1) gauged Skyrme Model
Gauging U(1) symmetry under
with
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U(1) gauged Skyrme Model
Gauging U(1) symmetry under
with
Gauged Wess-Zumino-Witten term
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Pion fluctuation in rB0 space Vacuum U1
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s(x)
Gab(x)
C(U0)
D(U0)
F(U0)
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Effective quantities
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p0 -gt gg in medium
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p0 -gt nn in Dense Skyrmion Matter
A. Kalloniatis, C. Janathan, B.-Y. Park,
PRD71,114001 (2005)
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Gauging Skyrme Model
Electroweak vector fields
with
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WZW term
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Leptonic part
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p0 -gt nn possible?
Impossible for massless neutrinos
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In medium?
In-medium modified effective vertex
Again impossible for massless neutrinos
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In medium?
possible if the background potential provide
momentum
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In medium?
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 !
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10-4 10-3
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Future Work
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classical ground state config.
fluctuating pions