Possible Striking Signals for a Quark-Gluon Plasma at Rhic. Page: 14 of 31
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In equations (1) and (2) the value of PE and PB can be chosen by picking a random number
R between zero and one and calculating
AP = GPmax = 2 "Pmax cos-1(R). (16)
7r
The next aspect in bubble simulation is the kinematics of the pions produced by the
bubble. Gyulassy[32] suggested jet fragmentation would show these added impulse to their
pions. Studies of changes of jet fragmentation in heavy ion events is already underway[33].
For this simulation we consider bubble kinematics that would arise from a chiral low temper-
ature bubble or a bubble that produced pions which look very much like the regular pions
of a heavy ion event. A set of programs using the event generator RHIC::PLASMA is used
to simulate bubbles that have imparted impulses given by equation (16).
Chiral bubbles are spherically symmetric distributions of pions having a Boltzman energy
spectrum of 70 meV temperature. The chromo E and B field is randomly assumed in any
direction. The E field gives a impulse to 7r+ along its direction, while the 7r- impulse is
opposite to its direction. The impulse of the B field is at right angles to the direction, where
the example of B and E along the X-axis is given by equations (1) and (2).
Besides a low temperature chiral bubble, let us consider a higher temperature bubble
which expands in the longitudinal beam direction. The net result leads to a bubble which
blends into the regular background of RHIC::EVENT.
The program generates a bubble by a regional tagging scheme which takes particles from
the initial RHIC::EVENT collision and converts the energy into a bubble. The tagging region
is defined as a circular cross sectional area located within the center of the overlap region
with radius Rtag. The bubble has an initial energy, where its rest frame is given by the total
momentum energy four vector of the sum of the tagged particles that are used to create the
bubble.
12 Summary and Conclusions
in Uis paper we nave discusseU a pousuib way slr1111 b1i1n1b lul a QGP CUulU U genlerautu
at RHIC and detected. We have extended and generalized the original scenario proposed by
Van Hove[6,7].
if QGP bubbles or localized rapidity regions of QGP are created in some of the RHIC
collisions (probably most likely for highest energy Au on Au), and the characteristics of their
hadron emissions preserved, at least substantially in part of the events final state, we have
shown that reasonable event generators that we developed can provide striking signals in
individual events, even under the modest assumption that only 4.5% of the available energy
(corresponding to the available energy for plasma formation generated in a central collision
contained within a radius of about 1.3 f) forms the QGP bubble. If larger amounts of the
available energy form a QGP bubble (or a localized rapidity region) the signals will scale
with the QGP energy, and could become truly dramatic (see Figs. 9-13).12
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Lindenbaum, S. J. Possible Striking Signals for a Quark-Gluon Plasma at Rhic., report, December 1, 1999; Upton, New York. (https://digital.library.unt.edu/ark:/67531/metadc711496/m1/14/: accessed May 6, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.