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coupl<strong>in</strong>g can be applied. A key tool to extract hadron<br />

structure <strong>in</strong>formation <strong>in</strong> this non-perturbative regime<br />

is the property <strong>of</strong> factorisation. It makes it possible to<br />

separate cleanly the high-momentum (perturbative) and<br />

the low-momentum (non-perturbative) aspects <strong>of</strong> the<br />

<strong>in</strong>teraction.<br />

In this way, hard reactions such as <strong>in</strong>clusive deep<strong>in</strong>elastic<br />

scatter<strong>in</strong>g (DIS), semi-<strong>in</strong>clusive DIS, or hard<br />

exclusive reactions are rout<strong>in</strong>ely used nowadays as<br />

probes <strong>of</strong> hadron structure. It is the hard scale <strong>in</strong>volved<br />

<strong>in</strong> these processes, which allows a perturbative QCD<br />

description <strong>of</strong> the reaction and which selects well-def<strong>in</strong>ed<br />

operators <strong>in</strong> terms <strong>of</strong> quarks or gluons. By measur<strong>in</strong>g the<br />

matrix elements <strong>of</strong> such operators <strong>in</strong> the hadron, we can<br />

then extract the s<strong>of</strong>t part <strong>of</strong> the amplitude, which lies <strong>in</strong><br />

the realm <strong>of</strong> non-perturbative QCD. Depend<strong>in</strong>g on the<br />

operator selected, key questions on hardon structure<br />

can be addressed, such as:<br />

• How are quarks spatially distributed <strong>in</strong>side the proton<br />

• Can we understand the energy-momentum and angular-momentum<br />

dependent aspects <strong>of</strong> the structure <strong>of</strong><br />

hadrons from first pr<strong>in</strong>ciples<br />

• Is there a connection between orbital motion <strong>of</strong> quarks<br />

and gluons, their sp<strong>in</strong> and the sp<strong>in</strong> <strong>of</strong> the proton<br />

• How does the <strong>in</strong>ternal structure <strong>of</strong> baryons and<br />

mesons emerge from the dynamics <strong>of</strong> quarks and<br />

gluons<br />

• What are the contributions <strong>of</strong> different quark flavours<br />

to hadron structure<br />

Recent Achievements,<br />

Current State-<strong>of</strong>-the-Art<br />

To address the above questions, hadrons are explored<br />

experimentally by study<strong>in</strong>g their response to high-precision<br />

probes at various energies. Electroweak probes<br />

<strong>of</strong>fer versatile and well-understood tools to access the<br />

<strong>in</strong>ternal quark-gluon structure <strong>of</strong> hadrons. With the relatively<br />

weak coupl<strong>in</strong>g strength <strong>of</strong> the electromagnetic<br />

<strong>in</strong>ter action, result<strong>in</strong>g dom<strong>in</strong>antly <strong>in</strong> one photon exchange,<br />

a clean separation <strong>of</strong> the probe and the system under<br />

<strong>in</strong>vestigation is possible. This is true for processes with<br />

photons or charged leptons <strong>in</strong> the <strong>in</strong>itial or <strong>in</strong> the f<strong>in</strong>al<br />

state. Typical examples are electron scatter<strong>in</strong>g or the<br />

observation <strong>of</strong> lepton pairs from decays or Drell-Yan type<br />

processes. Equally important is the fact that the virtuality<br />

<strong>of</strong> the exchanged photon can be tuned. This allows<br />

the spatial structure <strong>of</strong> hadrons to be resolved and the<br />

distributions <strong>of</strong> their constituents to be studied.<br />

Figure 2. Different projectile energies test different properties <strong>of</strong> the nucleon structure.<br />

<strong>Perspectives</strong> <strong>of</strong> <strong>Nuclear</strong> <strong>Physics</strong> <strong>in</strong> <strong>Europe</strong> – NuPECC Long Range Plan 2010 | 63

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