ASPECTS OF COULOMB DISSOCIATION AND INTERFERENCE IN PERIPHERAL NUCLEUS - NUCLEUS COLLISIONS. Page: 4 of 10
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-~50 - P
-4 -2 0 2 4
-4 -2 0 2 4
-4 -2 0 2 4
Figure 1: Rapidity distributions of vector mesons in Au+Au interactions at RHIC. The dashed histograms show
the rapidity distributions when the photon is emitted by the nucleus with positive rapidity
Similarly, the distribution of the nuclear transverse momentum transfer, ql, is determined by
the form factor 9
do(oA) IF(tmin + qg2 q (9)
The transverse momentum distribution of the photon is generally narrower than that of the
Pomeron, so the vector meson PT distribution is dominated by the nuclear form factor.
The differential cross section, do-/dydpT, for a vector meson with rapidity, y, and transverse
momentum, pT, is the product of the photon density and the photonuclear cross section, i.e.
da _ dN dN
dydpT - b>2R kdk d2b o(YA2) f1,2(PT) + k2ddsb a(YA1) f2,1(PT) d2b. (10)
This can be written
do- = R(IA1 2 +1A2I2) d2b , (11)
where the A1 and A2 correspond to the amplitudes for production off each of the two nuclei.
This is only valid for b 1/pT. The appropriate form for all impact parameters is instead
dydpT =>2R IA1 + A212 d2b . (12)
At mid-rapidity, the amplitudes will be of equal magnitude because of symmetry, and by com-
paring Eq. 10 with Eq. 11, one sees that
A12 =IA2 2 = kdidbo-(yA2) fi,2(i'T) . (13)
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Nystrand, J.; Baltz, A. J. & Klein, S. R. ASPECTS OF COULOMB DISSOCIATION AND INTERFERENCE IN PERIPHERAL NUCLEUS - NUCLEUS COLLISIONS., article, October 16, 2002; Upton, New York. (digital.library.unt.edu/ark:/67531/metadc742527/m1/4/: accessed December 18, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.