Perspectives of Nuclear Physics in Europe - European Science ...
Perspectives of Nuclear Physics in Europe - European Science ...
Perspectives of Nuclear Physics in Europe - European Science ...
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Each <strong>of</strong> these extensions will open the possibilities <strong>of</strong><br />
new phase transitions.<br />
New results are also expected from the microscopic<br />
approaches based on EDF methods. These should allow<br />
a deeper understand<strong>in</strong>g <strong>of</strong> the orig<strong>in</strong> and the nature <strong>of</strong><br />
the nuclear shape phase transitions. In particular, the<br />
richer scenario <strong>of</strong>fered by these microscopic approaches<br />
with respect to more schematic boson models will lead<br />
to more realistic predictions for the position <strong>of</strong> the critical<br />
nuclei <strong>in</strong> the mass table<br />
Reactions<br />
The availability <strong>of</strong> low- and high-energy radioactive<br />
beams and, <strong>in</strong> particular the discovery <strong>of</strong> halo-nuclei,<br />
has brought out a renewed <strong>in</strong>terest <strong>in</strong> the model<strong>in</strong>g <strong>of</strong><br />
nuclear reactions. To take <strong>in</strong>to account the complexity<br />
<strong>of</strong> the many-body problem, current approaches to<br />
reaction theory <strong>in</strong>volve different approximations whose<br />
validity needs to be checked, <strong>in</strong> particular when applied<br />
to exotic light nuclei.<br />
In the last few years important advances <strong>in</strong>clude:<br />
(a) the description <strong>of</strong> very-low energy subbarrier fusion<br />
processes that should provide <strong>in</strong>formation on the<br />
<strong>in</strong>ner part <strong>of</strong> the ion-ion potential;<br />
(b) general parameterizations <strong>of</strong> the ion-ion optical<br />
potentials aimed at the description <strong>of</strong> both fusion<br />
and quasielastic processes for stable and unstable<br />
systems;<br />
(c) a consistent coupled-channel microscopic formalism<br />
for the description <strong>of</strong> mult<strong>in</strong>ucleon transfer reactions,<br />
with the <strong>in</strong>tent <strong>of</strong> clarify<strong>in</strong>g the smooth transition from<br />
graz<strong>in</strong>g to deep-<strong>in</strong>elastic processes;<br />
(d) massive calculations <strong>of</strong> elastic and break-up<br />
processes <strong>in</strong>volv<strong>in</strong>g exotic halo nuclei, exploit<strong>in</strong>g<br />
coupled-channels approaches based on cont<strong>in</strong>uum<br />
discretization;<br />
(e) novel approaches based on the ab <strong>in</strong>itio <strong>in</strong>clusion <strong>of</strong><br />
the halo few-body nature <strong>in</strong>to the reaction formalism;<br />
(f) extensions to the explicit treatment <strong>of</strong> four-body channels<br />
(as <strong>in</strong> break-up reactions <strong>in</strong>volv<strong>in</strong>g two-neutron<br />
halo nuclei).<br />
<strong>Perspectives</strong><br />
There are two major issues <strong>in</strong> any reaction approach:<br />
first, to ensure that sufficiently detailed microscopic<br />
structure <strong>in</strong>formation <strong>of</strong> the <strong>in</strong>teract<strong>in</strong>g nuclei is <strong>in</strong>corporated<br />
(via optical potentials, form-factors, spectroscopic<br />
factors, etc.) and, second, a proper treatment <strong>of</strong> the<br />
relevant dynamics. These two aspects are <strong>of</strong>ten <strong>in</strong>tertw<strong>in</strong>ed<br />
and need to be carefully addressed.<br />
With<strong>in</strong> this general framework several topics can be<br />
s<strong>in</strong>gled out for future work. In particular:<br />
(a) a more extended use <strong>of</strong> microscopic models for the<br />
excitation (via different probes as Coulomb, <strong>in</strong>elastic,<br />
charge-exchange, transfer, etc) <strong>of</strong> different collective<br />
and non-collective modes (e.g. dipole pigmy<br />
states).<br />
(b) a consistent description <strong>of</strong> the <strong>in</strong>terplay between<br />
cont<strong>in</strong>uum and many-body correlations, for systems<br />
with unbound ground states and above threshold for<br />
weakly-bound systems<br />
(c) a further clarification <strong>of</strong> the reaction mechanism for<br />
two- and multiparticle transfer reactions, <strong>in</strong> relation<br />
with the role <strong>of</strong> pair<strong>in</strong>g-like <strong>in</strong>teractions (<strong>in</strong> both isosp<strong>in</strong><br />
T=0 and T=1 channels)<br />
(d) a systematic comparison between different scatter<strong>in</strong>g<br />
approaches with similar structure and dynamical<br />
<strong>in</strong>puts, <strong>in</strong> order to clarify the validity <strong>of</strong> different<br />
approximation schemes<br />
(e) the development <strong>of</strong> a reliable framework for the study<br />
<strong>of</strong> quasi-free breakup, that will yield <strong>in</strong>formation on<br />
the wave function <strong>of</strong> the struck particle, <strong>in</strong> particular<br />
at high energies at which the scatter<strong>in</strong>g framework<br />
is expected to become simpler.<br />
In addition to developments with<strong>in</strong> the conventional<br />
models, promis<strong>in</strong>g results have been obta<strong>in</strong>ed employ<strong>in</strong>g<br />
other approaches, <strong>in</strong> some cases novel, and <strong>in</strong> other<br />
cases revitalized after decades <strong>of</strong> obsolescence (such<br />
as TDHF mean-field calculations for reactions). In the<br />
case <strong>of</strong> reactions <strong>in</strong>volv<strong>in</strong>g light ions, <strong>in</strong> particular, much<br />
is expected from the extension <strong>of</strong> ab <strong>in</strong>itio shell-model<br />
calculations to reactions, as well as from structure models<br />
based on the cluster approach.<br />
Toward a unified description<br />
<strong>of</strong> nuclear structure and reactions<br />
<strong>Nuclear</strong> theory is rapidly evolv<strong>in</strong>g from studies <strong>of</strong> nuclei<br />
close to the valley <strong>of</strong> beta-stability towards a description<br />
<strong>of</strong> vast regions <strong>of</strong> short-lived and exotic nuclei far from<br />
stability and at the nucleon drip-l<strong>in</strong>es. Such an expansion<br />
imposes str<strong>in</strong>gent constra<strong>in</strong>ts on microscopic structure<br />
and reaction models that are be<strong>in</strong>g developed. These<br />
ma<strong>in</strong>ly concern the model space that must take <strong>in</strong>to<br />
account the coupl<strong>in</strong>g between bound states and the<br />
cont<strong>in</strong>uum, and the construction <strong>of</strong> effective <strong>in</strong>teractions<br />
that can be used all over the nuclear chart. This<br />
overview <strong>of</strong> the various aspects <strong>of</strong> modern nuclear theory<br />
has focused on the current status and perspectives <strong>of</strong><br />
our understand<strong>in</strong>g and modell<strong>in</strong>g <strong>of</strong> low-energy nuclear<br />
physics.<br />
<strong>Perspectives</strong> <strong>of</strong> <strong>Nuclear</strong> <strong>Physics</strong> <strong>in</strong> <strong>Europe</strong> – NuPECC Long Range Plan 2010 | 109