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OPPORTUNITIES IN NUCLEAR SCIENCE A Long-Range Plan for ...

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THE <strong>SCIENCE</strong> • PROTONS AND NEUTRONS: STRUCTURE AND <strong>IN</strong>TERACTIONS<br />

pared with pion, kaon, or proton beams. To date, most<br />

meson spectroscopy has been done with these latter probes,<br />

so it is not surprising that the experimental evidence <strong>for</strong> flux<br />

tube excitation is tentative at best.<br />

.7<br />

.6<br />

.5<br />

Elastic π+e<br />

Previous p(e, e'π + )n<br />

JLab<br />

High-flux photon beams of sufficient quality and energy<br />

will be become available at Jefferson Lab when the facility is<br />

upgraded to 12 GeV. This project will accumulate statistics<br />

during its first year that will exceed existing photoproduction<br />

data by at least a factor of ten thousand and data with pions<br />

by at least a factor of a hundred. With the planned detector,<br />

high statistics, and linearly polarized photons, it will be possible<br />

to map out the spectrum of these gluonic excitations.<br />

Theoretical input, particularly from the lattice, will also<br />

be needed to compare with the observed spectrum of states<br />

and eventually their decay patterns. Recent improvements<br />

in calculational techniques, coupled with the current lattice<br />

initiatives to build a new generation of computers, will<br />

make definitive calculations possible in the not-so-distant<br />

future. When the spectrum and decay modes of gluonic<br />

excitations have been mapped out experimentally, a giant<br />

step will have been taken toward understanding one of<br />

nature’s most puzzling phenomena, quark confinement.<br />

Yet another important issue in the physics of confinement<br />

is understanding the transition of the behavior of<br />

QCD from long distance scales (low Q 2 , where confinement<br />

dominates and the interaction is very strong) to short<br />

distance scales (high Q 2 , where the quarks act as if they were<br />

free). The pion is one of the simplest QCD systems available<br />

<strong>for</strong> study, and the measurement of its elastic <strong>for</strong>m factor<br />

is the best hope <strong>for</strong> seeing this transition experimentally.<br />

Figure 2.8 shows how the proposed CEBAF 12-GeV<br />

Upgrade project can explore this transition.<br />

The QCD Basis <strong>for</strong> the NN Interaction<br />

At present, the best quantitative description of the <strong>for</strong>ce<br />

between two nucleons remains the phenomenological<br />

model of meson exchange. The long-range part of this NN<br />

<strong>for</strong>ce is mediated by pions, the lightest mesons. The shortrange<br />

part is less well understood. While lattice QCD computational<br />

techniques are likely to provide detailed<br />

predictions of the properties of single nucleons, numerical<br />

solutions of QCD <strong>for</strong> systems of more than one nucleon are<br />

still tremendously challenging. However, in the next few<br />

Q 2 F π<br />

.4<br />

.3<br />

.2<br />

.1<br />

0<br />

0 2<br />

4 6<br />

Q 2 [(GeV/c) 2 ]<br />

pQCD<br />

Figure 2.8. Projections <strong>for</strong> an upgraded CEBAF. The 12-GeV<br />

Upgrade will allow measurements of the pion elastic <strong>for</strong>m factor<br />

through the expected transition region from confinement-dominated<br />

dynamics (at modest Q 2 ) to perturbative-dominated dynamics (at<br />

high Q 2 ). The colored symbols depict the expected precision at<br />

values of Q 2 ≤ 6. The curves represent model predictions of this<br />

transition, while the pQCD result (lower right) is the predicted value<br />

at high Q 2 .<br />

years, lattice QCD will be able to provide qualitative<br />

insights into the interaction between two very massive<br />

hadrons (containing quarks more massive than u and d),<br />

which is a more soluble problem and involves the same<br />

mechanisms of quark interchange and gluon exchange that<br />

occur in the NN <strong>for</strong>ce.<br />

Developing a deeper understanding of the origins of<br />

the effective NN <strong>for</strong>ce in terms of the fundamental constituents<br />

of QCD has recently become a realistic goal <strong>for</strong><br />

nuclear physics through the use of effective field theories.<br />

These theories exploit the symmetries of QCD and enable<br />

its confrontation with low-energy observables. Combined<br />

with the computational techniques of lattice QCD, these<br />

methods have the potential to provide a powerful quantitative<br />

tool to connect QCD directly to the low-energy properties<br />

of nuclei.<br />

Understanding the NN interaction is vital not only <strong>for</strong><br />

gaining a clear picture of nuclear structure under normal<br />

conditions, but also <strong>for</strong> making reliable predictions <strong>for</strong><br />

more extreme processes, such as those that take place in<br />

supernovae or when a hot, dense quark-gluon plasma condenses<br />

into nucleons and mesons. Effective field theories<br />

are now very successful in describing processes involving<br />

two nucleons at low energy, <strong>for</strong> example, n-p capture and<br />

8<br />

23

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