Isospin correlations in high-energy heavy-ion collisions
Abstract
We study the posibility of large isospin fluctuations in high-energy heavy-ion collisions by assuming that pions are produced semiclassically both directly and in pairs through the isovector channel. The leading-particle effect and the factorization property of the scattering amplitude in the impact parameter space are used to define the classical pion field. In terms of the joint probability function
P
I
I
3
(
n
0
,
n
_
)
for producing
n
0
neutral and
n
_
negative pions from a definite isospin state
I
I
3
of the incoming leading-particle system we calculate the two pion correlation parameters
f
0
2,
n
_
and the average number of neutral pions
(<
n
0
>
n
_
)
as a function of negative pions
(
n
_
)
produced. We show that only direct production of pions without isovector pairs leads to large isospin fluctuations.