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Perspectives of Nuclear Physics in Europe - European Science ...

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The longest-range parts <strong>of</strong> these forces arise from pion<br />

exchange and so can be calculated from the same chiral<br />

EFT as used for NN <strong>in</strong>teractions. Here the smaller<br />

scatter<strong>in</strong>g lengths and weaker pion-hyperon coupl<strong>in</strong>gs<br />

mean that We<strong>in</strong>berg’s expansion scheme is appropriate.<br />

However, there is a clear need for a larger and better<br />

database, as current analyses are not able to p<strong>in</strong> down<br />

the sizes <strong>of</strong> the s<strong>in</strong>glet and triplet scatter<strong>in</strong>g lengths. Here<br />

too, proton-proton collisions with strangeness <strong>in</strong> the f<strong>in</strong>al<br />

state, and measurements <strong>of</strong> polarization observables<br />

can <strong>of</strong>fer another means for determ<strong>in</strong><strong>in</strong>g these fundamental<br />

parameters. Experiments on processes such as<br />

pp→pKΛ are now under way at COSY.<br />

Hypernuclei, nuclear systems with one or more<br />

bound hyperons, can provide an alternative route to<br />

learn<strong>in</strong>g about the hyperon-nucleon <strong>in</strong>teraction. There<br />

has been considerable experimental progress <strong>in</strong> the<br />

γ-spectroscopy <strong>of</strong> their low-ly<strong>in</strong>g excited states, at KEK,<br />

JLab and Frascati. This has led, for example, to the first<br />

determ<strong>in</strong>ation <strong>of</strong> the sp<strong>in</strong>-sp<strong>in</strong> terms <strong>in</strong> the YN <strong>in</strong>teraction.<br />

Hypernuclei also <strong>of</strong>fer a unique possibility to<br />

study the non-mesonic weak decays ΛN→NN, due to the<br />

Pauli pr<strong>in</strong>ciple h<strong>in</strong>der<strong>in</strong>g the pionic decay modes. Such<br />

processes can provide the primary means <strong>of</strong> explor<strong>in</strong>g<br />

the strangeness-chang<strong>in</strong>g weak <strong>in</strong>teractions between<br />

baryons.<br />

Work on EFTs has also led to the important <strong>in</strong>sight<br />

that few-body systems with short-range <strong>in</strong>teractions<br />

and a large scatter<strong>in</strong>g length a display universal features<br />

that do not depend on the details <strong>of</strong> their structure or<br />

their <strong>in</strong>teractions at short distances. In the two-body<br />

sector, these universal properties are familiar, aris<strong>in</strong>g<br />

from the lead<strong>in</strong>g terms <strong>of</strong> the effective-range expansion.<br />

They <strong>in</strong>clude, for <strong>in</strong>stance, the relation between<br />

the b<strong>in</strong>d<strong>in</strong>g energy and depend the scatter<strong>in</strong>g. In the<br />

three-body sector, universality leads to the Efimov effect<br />

– the accumulation below threshold <strong>of</strong> bound states <strong>of</strong><br />

a three-body system when the two-body bound states<br />

are located exactly at the dissociation threshold – and<br />

a log-periodic dependence <strong>of</strong> scatter<strong>in</strong>g observables<br />

on the energy and the scatter<strong>in</strong>g length. These features<br />

have been observed <strong>in</strong> ultracold atomic systems but are<br />

also expected to appear <strong>in</strong> few-nucleon systems, halo<br />

nuclei, and even <strong>in</strong> hadron physics. Here, for example,<br />

the X(3872) is a very loosely bound ly<strong>in</strong>g with<strong>in</strong><br />

half an MeV <strong>of</strong> the threshold. Such a shallow state<br />

should display universal features, which can be tested by<br />

study<strong>in</strong>g D 0 X(3872) scatter<strong>in</strong>g <strong>in</strong> f<strong>in</strong>al-state <strong>in</strong>teractions<br />

<strong>of</strong> B c decays. These universal properties are embodied<br />

with<strong>in</strong> the framework <strong>of</strong> EFTs, mak<strong>in</strong>g these the best tool<br />

for such calculations. Universality provides fasc<strong>in</strong>at<strong>in</strong>g<br />

l<strong>in</strong>ks to other fields <strong>of</strong> physics, spann<strong>in</strong>g energies from<br />

meV to TeV, and such connections should be made even<br />

stronger <strong>in</strong> the future.<br />

Another area that has received much attention is the<br />

so-called “medium modification” <strong>of</strong> hadron properties<br />

<strong>in</strong> hot or dense matter. Changes to the vector mesons’<br />

spectral functions (mass and width) have been proposed<br />

for two decades as possible signals <strong>of</strong> modifications <strong>of</strong><br />

the QCD condensates <strong>in</strong> the nuclear medium. Reduced<br />

vector-meson masses have been predicted for vector<br />

mesons and searched for over the years <strong>in</strong> several<br />

experiments, mak<strong>in</strong>g use <strong>of</strong> different energy regimes<br />

and collision systems, to cover a range <strong>of</strong> densities and<br />

temperatures. As <strong>of</strong> today, experiments have been conducted,<br />

albeit with rather low statistics, at GSI, KEK,<br />

JLab, BNL, and CERN. None <strong>of</strong> the published results<br />

gives a clear and unambiguous signal <strong>of</strong> non-trivial <strong>in</strong>medium<br />

effects. Moreover, s<strong>in</strong>ce the experiments cover<br />

different phase space regions, their results are not easily<br />

compared. Nonetheless, they do po<strong>in</strong>t towards a sizeable<br />

broaden<strong>in</strong>g <strong>of</strong> the vector states <strong>in</strong> matter.<br />

<strong>Physics</strong> <strong>Perspectives</strong><br />

There are very bright prospects for studies <strong>of</strong> hadronic<br />

<strong>in</strong>teractions <strong>in</strong> both the short and long term. In particular,<br />

the J-PARC and FAIR facilities should produce abundant<br />

data on hadronic systems with strange and charm as well<br />

as light quarks. On the theoretical side, LQCD and EFT<br />

methods are now capable <strong>of</strong> deal<strong>in</strong>g with the multi-scale<br />

problems that necessarily arise <strong>in</strong> such systems. With<br />

the new area <strong>of</strong> charm-quark nuclear physics, it will also<br />

be able to learn about the <strong>in</strong>terplay <strong>of</strong> and transition from<br />

non-perturbative to perturbative QCD dynamics.<br />

The upcom<strong>in</strong>g huge body <strong>of</strong> data for J/ψ and ψ’<br />

decays from the BES-III experiment at BEPCII will <strong>of</strong>fer<br />

multiple opportunities to further <strong>in</strong>vestigate fundamental<br />

properties <strong>of</strong> QCD encoded <strong>in</strong> the decay and f<strong>in</strong>al-state<br />

dynamics. For example, it has recently been shown that<br />

the light quark mass difference m u -m d can be extracted<br />

form a comb<strong>in</strong>ed analysis <strong>of</strong> ψ’→h c π 0 and η’ c →χ c0 π 0<br />

decays, the latter be<strong>in</strong>g measurable with PANDA at<br />

FAIR. Other tests are related to chiral dynamics with<br />

strange quarks and SU(3) flavour break<strong>in</strong>g. In this field there<br />

is a close collaboration between theory and experiment<br />

with the <strong>in</strong>tended goal to maximize the physics output<br />

from the upcom<strong>in</strong>g premier hadron physics facility FAIR.<br />

In <strong>Europe</strong>, there will be dedicated chiral perturbation<br />

theory tests, tests <strong>of</strong> the discrete symmetries C,P,T and<br />

the search for physics beyond the Standard Model <strong>in</strong><br />

dedicated η and η’ decay studies at MAMI, ELSA and<br />

COSY.<br />

Lattice QCD calculations are now start<strong>in</strong>g to <strong>in</strong>clude<br />

the so-called disconnected contributions, which will<br />

allow for precise calculations <strong>of</strong> the isosp<strong>in</strong> zero (1/2) ππ<br />

(πK) scatter<strong>in</strong>g lengths employ<strong>in</strong>g Lüscher-type formulae.<br />

Similarly, a systematic analysis <strong>of</strong> all meson-baryon and<br />

<strong>Perspectives</strong> <strong>of</strong> <strong>Nuclear</strong> <strong>Physics</strong> <strong>in</strong> <strong>Europe</strong> – NuPECC Long Range Plan 2010 | 75

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