The Phases of Nuclear Matter

The atomic nuclei we have discussed so far all have normal nuclear matter density. But as we
learned in the plasma physics discussion, matter - in this case nuclear matter - can exist
in a wide range of temperatures and densities. Nuclear matter can be heated and also
compressed in collisions of nuclei. In this way, one can explore the phase diagram of
nuclear matter.
Let us discuss three phenomena where GSI and university groups together with their
international collaboration partners have made substantial contributions to the
understanding of the phase diagram of nuclear matter. These are the observation of a
liquid-to-gas transition, the measurement of hadron properties in the nuclear medium,
and the phase transition to the quark-gluon plasma.
A liquid-to-gas transition is what we observe every day when we boil water. The average
distance between water molecules is of the order of 0.1 nm as a result of an attractive
interaction at large distances and a strong repulsion at short distances. The underlying
potential is shown in as a function of the distance (see Figure).
When we heat water by transferring energy to its molecules the temperature increases until
we reach 100 °C. At this point the temperature stays constant although we keep transferring
energy. This energy is used to break the bonds between the water molecules; thereby water
is converted to vapor. The temperature increases again only after all water has been
evaporated.
The force between two nucleons in a nucleus shows a very similar dependence on the
distance. The scale is however changed by 5 orders of magnitude leading to a density which
is almost 15 orders of magnitude higher than that of normal matter. If one would compress
the earth to nuclear matter density it would easily fit into a sphere with a radius of
about 200 m; just to give you a feeling what nuclear matter density means.
Nuclei in their ground state thus behave very similar to a liquid and because of that a
liquid-to-gas transition of nuclear matter was theoretically predicted already some 25
years ago. Only a few years back such a transition was indeed observed at GSI.
We show the experimental data of the ALADIN collaboration. When one heats nuclear matter
in a nuclear collision one first observes an increase of the temperature followed by a
plateau-like behavior corresponding to the breaking of bonds between nucleons, i.e. one
observes the evaporation of nuclear matter. Only after completion of the evaporation
process the temperature rises again.
This is an excellent example how analogies between different areas of physics help to
understand the underlying generic process, in this case the breaking of bonds between
constituents.
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