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4.3 <strong>Nuclear</strong> Structure and Dynamics<br />

Box 2. Chang<strong>in</strong>g magic numbers<br />

The monopole part <strong>of</strong> the effective nucleon-nucleon<br />

force <strong>in</strong>duces drastic changes <strong>in</strong> the s<strong>in</strong>gle particle<br />

energies, result<strong>in</strong>g <strong>in</strong> changes <strong>in</strong> the magic numbers<br />

<strong>in</strong> nuclei far from stability. The strong p-n <strong>in</strong>teraction<br />

between sp<strong>in</strong>-orbit partners (right figure) is essential<br />

for these changes.<br />

It results <strong>in</strong> a sp<strong>in</strong> ½ ground state <strong>in</strong> 31 Mg, dom<strong>in</strong>ated<br />

by neutron excitations across a reduced N=20 gap,<br />

evidenced by the magnetic moment measured at<br />

ISOLDE.<br />

It leads to a disappear<strong>in</strong>g N=28 shell gap, seen <strong>in</strong><br />

2 + energies <strong>in</strong> neutron-rich Si isotopes measured at<br />

GANIL.<br />

j > = l +1/2<br />

proton<br />

j < = l −1/2<br />

neutron<br />

n<br />

p<br />

p<br />

tensor<br />

force<br />

(π+ρ exchange)<br />

n<br />

31<br />

Mg<br />

In the future, transfer reactions will provide a powerful<br />

tool to map out s<strong>in</strong>gle particle energies throughout the<br />

nuclear chart at HIE-ISOLDE and SPIRAL2.<br />

neutrons would be particularly stable, but experiments<br />

found that this nucleus, 28 O, is not even bound. On the<br />

other hand, measurements have revealed that 24 O is doubly<br />

magic <strong>in</strong>dicat<strong>in</strong>g that new magic numbers develop<br />

far from stability.<br />

Future research programmes with RIBs will use various<br />

reactions to <strong>in</strong>vestigate the effects <strong>of</strong> the isosp<strong>in</strong><br />

dependence <strong>of</strong> the mean field and <strong>of</strong> the long- and shortrange<br />

correlations <strong>in</strong> exotic nuclei. An example <strong>of</strong> a future<br />

programme is the s<strong>in</strong>gle particle occupancy near the<br />

‘normal’ neutron shell closures from N=8 to N=126 as a<br />

function <strong>of</strong> Z, which can be <strong>in</strong>vestigated through transfer<br />

reactions. This requires the widest range <strong>of</strong> nuclear<br />

beams with energies <strong>of</strong> ~ 10 MeV/u. HIE-ISOLDE and<br />

the upgraded SPIRAL facility will provide a wide range<br />

<strong>of</strong> ISOL beams, while <strong>in</strong>tense beams <strong>of</strong> neutron-rich<br />

fission-fragments will be accelerated us<strong>in</strong>g SPIRAL2 and<br />

SPES. There will also be possibilities <strong>of</strong> such studies at<br />

the EXL facility at FAIR.<br />

New experimental set ups tailored to measure simultaneously<br />

and with <strong>in</strong>creased efficiency particles and<br />

gamma-rays will largely <strong>in</strong>crease the sensitivity and resolution<br />

<strong>of</strong> such studies. Radioactive (triton) and polarized<br />

targets will complete the array <strong>of</strong> equipment available<br />

to the experimentalists.<br />

The next decade should see the mapp<strong>in</strong>g <strong>of</strong> s<strong>in</strong>gle<br />

particle structures throughout the nuclear chart with<br />

a precision approach<strong>in</strong>g that known for stable nuclei<br />

today.<br />

Proton-neutron symmetric nuclear matter<br />

and the proton drip-l<strong>in</strong>e<br />

Isosp<strong>in</strong> symmetry is a property <strong>of</strong> the strong <strong>in</strong>teraction.<br />

In observables such as energies and masses this symmetry<br />

cannot manifest fully due to the presence <strong>of</strong> the<br />

electromagnetic <strong>in</strong>teraction, which by its nature does<br />

not have this symmetry.<br />

112 | <strong>Perspectives</strong> <strong>of</strong> <strong>Nuclear</strong> <strong>Physics</strong> <strong>in</strong> <strong>Europe</strong> – NuPECC Long Range Plan 2010

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