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4.1 Hadron <strong>Physics</strong><br />

4.1.1 Introduction<br />

Dur<strong>in</strong>g the last century, Maxwell’s electro-dynamics<br />

was comb<strong>in</strong>ed with quantum theory <strong>in</strong>to a field theory<br />

called quantum electrodynamics (QED). As a host <strong>of</strong><br />

new particles were discovered experimentally, the<br />

determ<strong>in</strong>ation <strong>of</strong> their properties helped to develop the<br />

theoretical framework further and there emerged a common<br />

understand<strong>in</strong>g <strong>of</strong> the weak and the electromagnetic<br />

<strong>in</strong>teractions. Built on these successes, the theory <strong>of</strong> the<br />

strong <strong>in</strong>teraction, Quantum Chromodynamics (QCD),<br />

was developed on the exact colour symmetry SU(3) for<br />

the fundamental particles called quarks and the carriers<br />

<strong>of</strong> the strong force, the gluons. The Standard Model <strong>of</strong><br />

particle physics was born.<br />

In the Standard Model, all forces or <strong>in</strong>teractions show<br />

basically the same behaviour, with a force law proportional<br />

to the <strong>in</strong>verse-square <strong>of</strong> distance. The proper sets<br />

<strong>of</strong> theories are called gauge theories. At this po<strong>in</strong>t, one<br />

can ask the question: where does hadron physics enter<br />

<strong>in</strong>to this framework and what specific role does it play<br />

<strong>in</strong> our understand<strong>in</strong>g <strong>of</strong> physics<br />

While high-energy physics works to identify the fundamental<br />

particles <strong>of</strong> nature, hadron physics seeks to<br />

understand the nature <strong>of</strong> composite particles, i.e., those<br />

composed <strong>of</strong> the fundamental quarks and gluons. In fact,<br />

it is only such composite particles that are observed <strong>in</strong><br />

nature; the quarks and gluons themselves have never<br />

been seen <strong>in</strong> isolation. Two or three quarks together<br />

form a hadron, which therefore represents the first level<br />

<strong>of</strong> complexity <strong>in</strong> nature. The ma<strong>in</strong> problem <strong>of</strong> hadron<br />

physics is to understand this complexity <strong>in</strong> terms <strong>of</strong><br />

elementary degrees <strong>of</strong> freedom – quarks and gluons –<br />

and their underly<strong>in</strong>g non-abelian gauge theory <strong>of</strong> QCD.<br />

This problem is <strong>of</strong> utmost importance to the whole <strong>of</strong><br />

contemporary physics, s<strong>in</strong>ce on the one hand it paves<br />

the road to an ab <strong>in</strong>itio understand<strong>in</strong>g <strong>of</strong> even more complex<br />

strongly <strong>in</strong>teract<strong>in</strong>g systems such as nuclei, while on<br />

the other hand, it pushes forward the precision frontier<br />

<strong>in</strong> high-energy physics, where analyses <strong>in</strong> many cases<br />

are limited by the hadron physics <strong>in</strong>put. Even the purely<br />

mathematical implications <strong>of</strong> the challenge posed by<br />

hadron physics are remarkable and worthy <strong>of</strong> one <strong>of</strong> the<br />

Millennium Prizes put forward by the Clay Institute.<br />

When we try to understand strongly <strong>in</strong>teract<strong>in</strong>g composite<br />

particles at rest or at lower energies, it seems that<br />

the relevant degrees <strong>of</strong> freedom <strong>of</strong> the QCD Lagrangian<br />

are not the relevant ones for hadrons. We have two different<br />

pictures or scenarios evolv<strong>in</strong>g, depend<strong>in</strong>g on the<br />

scale under scrut<strong>in</strong>y:<br />

The perturbative regime is explored <strong>in</strong> high-momentum<br />

processes such as deep-<strong>in</strong>elastic scatter<strong>in</strong>g (DIS) <strong>of</strong><br />

leptons on hadrons. Here the observable properties are<br />

directly related to the degrees <strong>of</strong> freedom that appear<br />

<strong>in</strong> the QCD Lagrangian (so-called current quarks and<br />

gluons). The momentum distributions <strong>of</strong> these particles,<br />

known as partons, with<strong>in</strong> hadrons have been determ<strong>in</strong>ed<br />

<strong>in</strong> great detail. It should be stressed, though, that at<br />

very low Bjørken-x” and high virtuality, gluon saturation<br />

sets <strong>in</strong>, form<strong>in</strong>g the non-perturbative colour glass<br />

condensate.<br />

The nonperturbative regime is relevant to the structure<br />

and <strong>in</strong>teractions <strong>of</strong> hadrons at low momenta. The<br />

degrees <strong>of</strong> freedom needed to describe low-energy<br />

experiments, and hence quantities such as charge radii<br />

or magnetic moments, are not current quarks and gluons.<br />

Here first pr<strong>in</strong>ciples calculations can be performed with<br />

numerical simulations <strong>of</strong> QCD on a space-time lattice.<br />

Also, effective field theories based on hadron degrees<br />

<strong>of</strong> freedom can provide import <strong>in</strong>formation on how the<br />

symmetries <strong>of</strong> QCD constra<strong>in</strong> the <strong>in</strong>teractions <strong>of</strong> these<br />

particles. In many cases, models based on “constituent”<br />

quarks with phenomenological masses can give better<br />

descriptions than one might expect, but these still lack<br />

any microscopic connection to the underly<strong>in</strong>g theory<br />

<strong>of</strong> QCD. Detailed experiments on the spectroscopy <strong>of</strong><br />

hadrons are needed to reveal the appropriate degrees<br />

<strong>of</strong> freedom.<br />

Understand<strong>in</strong>g the physics <strong>of</strong> hadrons requires a large<br />

variety <strong>of</strong> complementary experiments and theoretical<br />

tools. On the experimental side, electromagnetic and<br />

hadronic probes can be used to <strong>in</strong>vestigate various<br />

aspects <strong>of</strong> hadron structure and dynamics at different<br />

length scales. Here, the antiproton programme at<br />

the upcom<strong>in</strong>g FAIR facility will play a very prom<strong>in</strong>ent<br />

role for the physics with charm and light quarks. On the<br />

theoretical side, recent progress <strong>in</strong> lattice simulations<br />

and effective field theories (or comb<strong>in</strong>ations there<strong>of</strong>) has<br />

allowed ab <strong>in</strong>itio calculations <strong>of</strong> hadron properties and<br />

<strong>in</strong>teractions for the first time. The particularly important<br />

<strong>in</strong>terplay between experiment and theory has already led<br />

to much progress <strong>in</strong> the field and will also play a central<br />

role <strong>in</strong> the future. Furthermore, many methods developed<br />

orig<strong>in</strong>ally <strong>in</strong> hadron physics can be applied fruitfully <strong>in</strong><br />

other fields <strong>of</strong> physics, lead<strong>in</strong>g to connections between<br />

very different areas <strong>of</strong> research.<br />

After an <strong>in</strong>troduction to the basic properties <strong>of</strong> QCD,<br />

the theory underly<strong>in</strong>g all <strong>of</strong> hadron physics, this chapter<br />

is subsequently split <strong>in</strong>to three topics that emerge<br />

naturally <strong>in</strong> modern hadron physics: hadron structure,<br />

hadron spectroscopy and hadronic <strong>in</strong>teractions. At the<br />

end, we present a list <strong>of</strong> recommendations for the future<br />

development <strong>of</strong> the field <strong>of</strong> hadron physics.<br />

60 | <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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