385~
Nuclear Physics A498 (1989) 385c-390~ North-Holland. Amsterdam
SEARCH
FOR
RADIAL
+ 32S AND
32S
FLOW
IN
CENI-RAL
200 GEViNUCLEON
I60 i- AU COLLISIONS*
R. RENFORDT Physik,
Fachbercich
Uni\Pcrsit5t
Frankfurt,
D -- 6000
Frankfurt,
Fetlcral
Rcpuhlik
of Germany
NM.5
COLLABORAI‘ION
ABSTRACT Strcamcr
Chamber
collisions
arc an:~lyzcti
impowtl
r:ldial
and
protons
fairly
gord
at low
agrccmcnt
of
100 McV.
antI
central
200 GcV/Nuclcon
of a model
of the
overall
in p
from
The transvcrsc
flow.
(lambdas)
:I ttmpcraturc found
data
in term<
two
incorporating
momentum systems
using
good
i p collisions
at the same cncr-gy.
high
llic prcdictionc
pt from
spectra
+ 32S and
agrccmcnt
if the proton
midrapidity
flow
using
velocity
of
pions A
of 0.7X+c and
the pion
(lambda)
+ Au
prctiictions.
the same
howcvcr
I60
and a supcr-
to the motlcl
;I radial
1n &tail
fireball
around
arc compared
can bc obscrvctl A similarly
32S a thermal
parsmctcrs spectra
distributions
is
deviate
arc fitted
simultaneously.
I. INTRODUCT’ION The sho\vn
analyci? that
:I large
trensformctl rcachcd crgy
into
in those collisions
bc ;I rathcr
mal a
pure
pansion pend fcrcnt light
dew
would
The
spectrum.
rcsuit
spccics.
Slow
of the incoming
leading
hc :I rapid woultl
motion
mo\ing
heavy
assuming par-ticlc
B.V.
This
Iargc
ways.
transverse
particlc~. the same
on the velocity This
of cn-
way
would
momcn turn with
in turn
tcmpcrature
hc mot-c affected
is
dcasity
amount One
has
cncrgy
some
of the pt spectrum
tlcpcnds
would
beam the cncrgy
(explosion)
bc a distortion
particles.
0375-9474/89/$3.50 @ Elsevier Science Publishers (North-Holland Physics Publishing Division)
[I].
in various
to thcrm:ll
of the cmittcd
obscr\al
cstimntcs
cxpanSion
of distortion
Ion cxpcrimcnts
longiturlinul
\;I~~OLIS
to
2 and 3 GcV/fm-~
The tlcgrcc
to the thermal
the SPS Heavy
can bc dcgratlctl
of particlcc
possibility
from
According
1 olumc
on the mass of the particles particle
spectra
lies hctwecn
evaporation
supcrimposcd. thcrmz1
rclntivc
cncrgy.
in 3 small
Another
motion
cncrgy
(SO 16 tcj 70%)
fraction tl-ansvcrsc
conccntratcil
tribution<.
to
of transvorsc
tlisther-
rclativc of the cxwould
for than
dc-
the diffaster
386~
The NA35 Collaboration/Search
The
pt spectra
bution
[Z].
constant
velocity)
fcaturc ting
c>f negative
In rcf [3]
to distort
(not
shown
model
isentropic gardcd
radial
and
fitr
This
expansion
as an cxtcnsinn
The
using
protons
In the following
is described.
found
with
of this radial
in a way
rccluircd
the resulting
of the mttdcl
agreement
of our from
3 since
expansion
has the
and
flow
and
velocity. radial
a
fit-
v&city
to
is found
of a more
fireball
for constant
When
the data
in tcrtns
expansion
distri(with
with
a thermal
increasing
in ref.
data
a thermal expansion
by the data.
tcmpcrature
poor
analysis
also starts
a radially
from
a radial
inclusion
a very
the
model
to deviate
superimposing
of the pions
of the n-
here).
[4]
firchall.
the pt spectrum
the pt ~~istribut~(~n
are indeed
was dcvetoped
on a thermal
the pt spectrum
calculate
pions
a model
for radial flow
recent
assumes It can
velocity
an
hc rc-
it yields
the same result.
2. EXPERIMENTAL Streamer 32S
+
Bttth
32S and
datascts
most central Au.
The
using
After
particles by their
midrapidity density.
for
Thcrc
pt(ftftns.
Since the S + S system
tiw
ncgativc
of tho ncgativc the
from
proton
prnccdurc 3 good
pions
image
trigger
collab~~ration cut
processing
(FET)
stations.
representing
the
I .6?41(Xi mb) for 0 -t
with
rcyuiring
A more &tailed
three
momentum
were
the same cxpcrimcna charged
dcscripti~~n
the dccny in the 0
of #
to be 71~.
was corrcctcd
-t Au system
charged
the visual
particle
multiplicity of the cxpcri-
identification mcthotl
has been chcckcd
particles
and assuming
a small
using
the Lund
between
the true
proton
FLOW
ANALYSIS
event
the yields
used
b~causc
and spectra
the prcjton by
of pclsi-
one
cxipcct?
is expected.
FRI’l‘lOF
of
the pt spectra
mass Km“
(version
~~~stril?Llt~t~n and the result
the
is insufficient
the pt spectra
by subtracting
generator
contami-
In the S + S system
to analyze
contamination
all charged
for.
of VCC decays
is an isctspin zero syctcm
Only
of Electron
the A0 wcrc
decay.
arc cx~~cotccl to be the same. Thus
the positive
components
assumed
we used an indirect
pt distribution.
agrcclnctlt
the particles
of the y’s from
idcntificd
track
veto
offline
to thcsc data.
Ncgativc
due to high
An
resolution
of 200 GcV/nucleon
for S -1 S and
by the NAS
rcconstructiOn
around
cross section
trigger.
stereoscopic
of heavy
find
energy
were obtained.
the analysis
and
on high
intcrsctions
in ref. 2.
can be uniquely
cfficicncy
of central
analyzed
bias
can be found
taken
a forward
we1.c obtained
a minimum
due to conversion
For they
and with
7 has been applied
setup
particlcs nation
-t Au taken
wcrc
2% (34 mb) of the total
than
mental
pictures
‘%
wcrc
p tm p data
tal setup larger
PROCEDURE
Chamber
to
This
1.6) anti
of the s~l~stl-~lcti(~n
has been found.
3. RESULTS The radius 0
OF
following
analysis
uses the p:~rasnctrization
has been set to 7.4 fm, a radius
-I- Au
datact.
For
the radial
suggcstcd
dcpcndcncc
described by pion
of the flow
in ref.
illtcrfcr~~rn~trj~ velocity
4.
The
frcczct>ut
analysis
Lhc quadratic
of the dcpcn-
The NA35 Collaboration
/Search
for radial
flow
387c
------
$ = 078,T= WI WV
-----p*Trromii ....
It strongly
dcviatcc
hcst fit nssuming
from a purely
3 thcrm:ll thcrm;~l
the best fit crht;5id
using
tcmpcraturc
parameters.
(0.8%). gcstccl
as free
Als;o shown
the model
for both
from
the
in both
rd.
4, lcaving
lint
pT tail.
Both
in both
the radial
is the rather
is the distribution high
LXSCS as can
The solid
~~~n~rk~b~e systems
in ref. 4. It urrtlcrestimatcs
low pt region.
clistributic)n distribution.
high
using
fltlw i’iow
bc SCCII from figurcc vclncity vclncity
and Lhe of O.Wc
the parametrization
fits tend
the
rcprcscnts
to undcrcstimate
sugthe
388~
The NA35
Collaboration
/Search
for radial i-low
ZOOGeV/n "Ot AU 3 A".FETTrigger
200 GeV/n Ot AU -+ R‘,FElTrigger
(i
0.25 0.5 0.75
1
1.25 1.5 1.75
2
0
0.25 0.5 0.75
1
1.25 1.5 1.75
P,(GeV/c)
P,(GeV/c)
Fiplrc 3
z0
at midr:lpitlily Au
-I-
for for
the
T2
casts
: the data rcquirc of with that
170 McV.
togcthcr
to the sccontl = 43 McV,T2
from
=
fits arc shown thcrtnal
distribution
the fixed
p:iramclcr
B stccpcr
slope
sccmy
arc less pronounced. set fits
statcmcnts and
can
(0 hc some
bc
of the pt
of the 7~ _ distribution
thcrc
at Iow and
high
may hc :I similar
as
for S +
quite
well
changes with
quite
when [2]
fitted
to a
and
Surprisingly well
with
the ngrcfs
Au
+
can
by a sin@
pt though.
On the other
colli+ms.
[S].
The hand
incrcnsing
multiplicity
3s in nuclear
and
S and 0 dc~cribctl
at low
surprising.
pt incrcasc situ:ltion
the data
deviation
the shape
pp collicions
+ Au
a
casts.
for the p + p system.
in pp is somewhat
‘central
in 0
with
in both
in S + S.
Thcrc
yicltls
dictribution points
of the n-
153 McV
cs-
In fig. 4 the same is
thermal
tcmpcraturc
assumption
the rclativc
of
200 GcV/n
the crrrrcsponding
close to ~hc data
the flow
tiplicity:
with
the n-.
is a purely
1.0 hc very
Tl
a pure with
is shown
both
tlktribution
from
-t- Au collisions.
sets ohtainctl
claw
183 McV
from
for
It seems
S and 6 the wmc
xsumption
tempcraturc
ic known
=
‘protons’
rrcc fit.For the 'protons' the same
he made
agrccmcnt
shown
is rather
The deviation flow
Also
distribution:
T1 = 7.5 McV, figures
the
momentum
at mitlr:lpitlily
,\(I
paramctcr
170 McV.
tcmpcrnturc
radia1
fiv
4
Transwrsc
0
A().
of
two tcmpcraturc
iii
01
200 GcV/n
the cliffcrcnt
the
tcmpcraturc This
from
spectrum
In fig. 2 the
shown
dktribulion
collisions.
pcctakns
with
Fiyrc
momentum
Transvcrsc
2
it
mul-
Thus
in
The NA35 Collaboration
ZOOGeV/u
P + P +
/Search
for
n-, N, > 7
389c
radial Aow
ZOOGeV/u
PtP
+
(+) - (-1. N, > 7
r $10 > El0 \ Tt t'
..,..,.........p - 0.00. T - 131uev
10
10 0
0.25
05
0.75
1.25
1.5
1.75
2
0
0.25
0.5
0.75
1
1.25
1.5
1.75
2
p, (GeV/c)
Fig ii I-C.5
We applictl
the wmc for
event gcnctxtor
procedure
reaction
200 G&/n
S +
St S 3
BS &scribed
S. ‘The
I‘CCLI~~C arc
3bovc
to cvcnts
from
the FRITIOF
shown
in t?gurcs
7 and
8.
200 GeV/n S t S -3 (+) - (-).
ri, b=O, FRITIOF
b=O, FRITIOF
7 -----p,Tfmmri
0
0.75
0.5
0.25
1
1.25
1.5
1.75
2
0
0.25
0.5
0.75
1
1.5
1.25
1.75
PT@V/c)
PT@V/c) Figure ‘l‘ransvcrsc n-
8t
simul;~tion sions.
Figure
7 rnomcntum
midrapidity of
200
tlistril~lriion from
GcVjn
S
of
X
‘l‘r;in\vcrsc
FRl7’10F
proton5
-t
simulation
S colli-
2
siwis
nicmicnlurn at
midrapidity of
ohtainctl
200
tlktribulion from
(.k\‘/n
lay subtraction
S
of
F:RI +
FIEF
S colli-
rnctl~o~l.
39oc
The
It is interesting
NA35 Collaboration/Search
for
radial Aow
to observe that in gcncral the same bchaviour
as in the S + S data is
obscrvcd. In detail the tlcviation from a thermal spectrum is less pronounced. The paramctcr set from ref. 4 gives a rcasonablc fit. For the protons again a tlisagrecment with the flow assumption is obscrvcd, whcrens a thermal spectrum with a rather low tempcrature of 115 McV gives a gootl agrecmcnt.
4. CONCLUSIONS An attempt has been ma& to analyze the pt spectra of x-- and protons (lambdas) gcncratcd in central collisions of 200 GcVjnuclcon S t S and 0 t- Au within a single motlcl assuming a thermal fireball with a superimposed radial flow. Using the original paramctcr set suggcstcd in ref. 4 a rather good agrccmcnt with the data is found. In &tail howcvcr systematic deviations arc observed: the low and high pt regions of the ontl the slope for the protons (lambdas) is too shallow. When TK- arc untlcrcstimatcd fitting the tempcraturc ancl the flow velocity to the n - spectrum the discrepancy to the proton (lambtla) spectrum hccomcs cvcn larger. The same bchav-iour as in the nuclear systems is fount1 in pp collisions at the same cncrgy. This may cast some doubt on the intcrprctation in terms of a radial flop. On the other hand it is possible to imagine cvcn in single pp collision radial flow provided there is enough cncrgy tlcnsity. The fact that the Gmilarity bctwccn pp collisions and nuclear collisions increases with multiplicity supports this point. It seems ncccssary to first undcrstand the simple pp system bcttcr before going to final conclusions about the nuclear system. With the prcscnt statistics it is not possible to tlcciclc whether the pt distribution of heavy part&s (protons and lambdas) arc simply thermal or more complex like the 71spectra. In or&r to make the analysis less dcpcndant on assumptions about the particle composition
it is tlcsirablc to have direct particlc idcnlificat ion for the protons.
REFERENCES
Cl1
I21 131 C4l CSl
NA3S Collaboration, A. Bambcrgcr ct al.: Phys.Lctt. IX4Bjl987) 271 WAX0 Collaboration, R. Albrcoht et al., Phys. Lctt. 8199(19X7)297 NA34 Collaboration, F. Corrivcau et al., Z. Phys. C 3X(19X8)15 NA3S Collaboration, W. Heck ct al., Z. Phys. C 38(198X)19 NA3S Collaboration, H. Stroebelc ct al.: Z. Phys. C 3X(198X)X9 P..I. Sicmens and J.0. Rasmussen, Phys. Rev. Lctt. 42(1979)X80 K.S. Lee and U. Ileinz, Preprint TPR-XX - 16, Inst. f. Thcoretischc Univcrsitit Rcgcnsburg, 198X, to be published H.G. Fischer, Z. Phys. C 38(lYXX)lOS
Physik,