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FIAS Scientific Report 2010 - Frankfurt Institute for Advanced Studies ...

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Nuclear compression induced by a moving antiproton<br />

Collaborators: A.B. Larionov 1,2 , I.N. Mishustin 1,2 , L.M. Satarov 1,2 , W. Greiner 1<br />

1 <strong>Frankfurt</strong> <strong>Institute</strong> <strong>for</strong> <strong>Advanced</strong> <strong>Studies</strong>, 1 Kurchatov <strong>Institute</strong>, Moscow<br />

Due to the strongly attractive real part of the ¯p-nucleus optical potential, an antiproton slowly moving in the<br />

nuclear interior may create a local zone with enhanced nucleon density. We have considered this possibility<br />

with a help of the GiBUU model. For this purpose a standard parallel ensemble simulation of the high-energy<br />

antiproton induced reaction has been per<strong>for</strong>med. The antiproton momentum and position at the annihilation<br />

time moment have been stored in each parallel ensemble (or event). Assuming then, that the compression proceeds<br />

mainly on the short piece of the ¯p trajectory be<strong>for</strong>e its annihilation, the antiproton has been reinitialized<br />

in every annihilation event with the same momentum and position as at its annihilation. Then a new GiBUU<br />

calculation with switched off annihilation has been done. Due to the coherent initialization of the antiproton at<br />

the same position in all parallel ensembles, the mean field effects have been taken into account in full strength<br />

in this calculation, which allows to calculate the nuclear response in a proper way. The survival probability<br />

of the antiproton during the compressional evolution was calculated via the time-integrated annihilation width.<br />

On the basis of these simulations we have evaluated the probability of ¯p-annihilation within a compressed<br />

zone (ACZ) where maximum nucleon density ρmax exceeds a given value ρ. The results of calculations are<br />

shown in the figure below. The various curves demonstrate how the results depend on model parameters characterizing<br />

the ¯p optical potential, in particular the scaling factor ξ of the ¯p mean field (ξ = 1 corresponds to<br />

the G-parity trans<strong>for</strong>med nucleon mean fields). For the phenomenologically preferable value ξ = 0.22 (leading<br />

to Re(Vopt) = −153 MeV) we find that annihilations at densities above 2ρ0 are predicted on the level of<br />

10−4 ÷ 10−5 . Such events can be detected in the future FAIR experiments with the PANDA detector. With expected<br />

¯p-beam luminosity L = 2 · 1032 cm−2 s−1 , the ACZ rate can be estimated on the level of a few hundred<br />

events per second. Triggering on a fast proton in final state can, in principle, enhance the ACZ event fraction<br />

by about one order of magnitude, while suppressing the rate by factor 103 . Certainly, further theoretical studies<br />

are needed in order to find the best experimentally realizable ways to observe nuclear compression in ¯p-nucleus<br />

collisions.<br />

σ compr /σ ann<br />

10 0<br />

10 -2<br />

10 -4<br />

10 -6<br />

10 -8<br />

p - 16 O, 3 GeV/c<br />

ξ=1<br />

ξ=1, HO, m *<br />

ξ=0.22<br />

ξ=0.15<br />

ξ=1, HO<br />

10 -10<br />

1 1.5 2<br />

ρ/ρ0 2.5 3<br />

Event-averaged probability of ¯p annihilation at ρmax > ρ vs ρ <strong>for</strong> ¯p 16 O collisions at plab = 3 GeV/c. The default choice<br />

of parameters corresponds to ξ = 0.22.<br />

Related talks and publications in <strong>2010</strong>:<br />

1. A.B. Larionov, I.N. Mishustin, L.M. Satarov, and W. Greiner, Possibility of cold nuclear compression in<br />

antiproton-nucleus collisions, Phys. Rev. C 82, 024602 (<strong>2010</strong>).<br />

2. A.B. Larionov, I.N. Mishustin, L.M. Satarov, and W. Greiner, Dynamical compression of the 16 O nucleus<br />

by a moving antiproton, talk given at the meeting of the German Physical Society (DPG), Bonn, March<br />

16, <strong>2010</strong>.<br />

38

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