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Neutral pion decay in Dense Skyrmion Matter

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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)

Pion dynamics

Higher order derivative terms

&

baryonic degrees of freedom

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

H.-J. Lee, B.-Y. Park, D.-P. Min,

M. Rho, V. Vento,

Nucl. Phys. A (2003)

\

Pion fluctuation

in rB=0 space

Vacuum : U=1

\

Skyrmion matter

Pion fluctuations

on top of the

skyrmion matter

+ p-skyrmion matter

interactions

\

\

\

In-Medium

pion decay

constant ?

In-Medium

pion mass ?

H.-J. Lee, B.-Y. Park, D.-P. Min, M. Rho, V. Vento, Nucl. Phys. A (2003)

H.-J. Lee, B.-Y. Park,

M. Rho, V. Vento,

Nucl. Phys. A (2004)

Pion-BG

interactions

0th-order

propagator

\

S

=

….

+

+

S

S

S

=

+

Pion propagator

in medium

+

+

Pion velocity

in medium

H.-J. Lee, B.-Y. Park, M. Rho, V. Vento, Nucl. Phys. A (2004)

A. Kalloniatis, B.-Y. Park,

PRD71, 034010 (2005)

with

Gauging U(1) symmetry under

with

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)

A. Kalloniatis, C. Janathan, B.-Y. Park,

PRD71,114001 (2005)

Electroweak vector fields

with

n

Z

n

Z

Z

p0

p0

_

_

n

n

Z

Impossible for massless neutrinos

n

Z

p0

_

n

In-medium modified

“effective” vertex

Again impossible for massless neutrinos

n

Z

p0

_

n

possible if the background

potential provide momentum

_

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 !

10-4 ~ 10-3

n

g

p0

_

g

n

Pion in the dense

baryonic matter?

classical

ground state

config.

fluctuating

pions