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parameterised <strong>in</strong> structure functions f, g and h, where f<br />

refers to unpolarised quark distributions, g to longitud<strong>in</strong>ally<br />

polarised quarks and h to transverse polarisation.<br />

In addition, the new generalised parton distributions<br />

(GPDs), which are measured <strong>in</strong> exclusive reactions, allow<br />

at the same time a correlated tomography <strong>of</strong> the nucleon<br />

<strong>in</strong> the impact parameter plane as they have a direct connection<br />

to the question <strong>of</strong> the angular momentum <strong>of</strong> the<br />

quarks <strong>in</strong> the nucleon. The gluon sp<strong>in</strong> contribution has<br />

been conf<strong>in</strong>ed by recent results from COMPASS and<br />

HERMES to be small, but rema<strong>in</strong>s not understood due<br />

to the large experimental errors. In addition, transverse<br />

momentum dependent structure functions, measured <strong>in</strong><br />

semi <strong>in</strong>clusive scatter<strong>in</strong>g, give connections to angular<br />

momentum <strong>of</strong> quarks as well as transverse polarisation<br />

<strong>in</strong> the nucleon.<br />

Besides these ma<strong>in</strong> topics, the process <strong>of</strong> helicity<br />

dependent fragmentation is needed for the <strong>in</strong>terpretation<br />

<strong>of</strong> deep <strong>in</strong>elastic scatter<strong>in</strong>g. All recent theory developments<br />

described above are based on factorisation<br />

theorems. Any experimental study on these structure<br />

functions requires first a large enough value <strong>of</strong> Q 2 and, <strong>in</strong><br />

addition, a large lever arm <strong>in</strong> Q 2 to show that factorisation<br />

holds. This can naturally be achieved at a collider.<br />

The electromagnetic probe yields the required precision,<br />

but requires high lum<strong>in</strong>osity. In addition, the collider<br />

k<strong>in</strong>ematics allow a complete reconstruction <strong>of</strong> the f<strong>in</strong>al<br />

state, which is difficult for a fixed target experiment and<br />

<strong>of</strong> utmost importance for the detection <strong>of</strong> exclusive scatter<strong>in</strong>g<br />

processes.<br />

The quest for the realisation <strong>of</strong> a high lum<strong>in</strong>osity electron<br />

nucleon collider with a centre-<strong>of</strong>-mass energy s 1/2<br />

above 10 GeV has been made substantially easier by the<br />

FAIR project. The HESR tunnel <strong>of</strong> the antiproton complex<br />

with the PANDA experiment has been designed to store<br />

antiprotons up to a momentum <strong>of</strong> 15 GeV/c.<br />

We propose to extend the HESR storage r<strong>in</strong>g facility –<br />

presently under construction at FAIR – by an additional<br />

electron r<strong>in</strong>g. The project is called Electron Nucleon<br />

Collider at FAIR (ENC@FAIR). It yields an opportunity<br />

to create a doubly polarised collider on a comparatively<br />

short timescale with very reasonable <strong>in</strong>vestment.<br />

The figure above shows the acceptance <strong>of</strong> such a collider<br />

project. It demonstrates the substantial extension<br />

<strong>of</strong> the k<strong>in</strong>ematical range to ensure a sufficiently large<br />

lever arm <strong>in</strong> Q 2 for factorisation to hold.<br />

Extensive physics simulations are <strong>in</strong> progress to<br />

explore the response <strong>of</strong> the PANDA detector, which has<br />

been designed for fixed target mode, for the collider<br />

case. One expects for doubly polarised channels a ga<strong>in</strong><br />

<strong>in</strong> the figure <strong>of</strong> merit <strong>of</strong> a factor 20 – 100 as compared<br />

to fixed target experiments. This arises partly from the<br />

miss<strong>in</strong>g fixed target dilution factors, but also from higher<br />

efficiencies for the detection <strong>of</strong> f<strong>in</strong>al states <strong>in</strong> collider<br />

mode, e.g. for the detection <strong>of</strong> D-mesons.<br />

The accelerator physics aspects <strong>of</strong> ENC@FAIR are<br />

presently studied by a work<strong>in</strong>g group consist<strong>in</strong>g <strong>of</strong> accelerator<br />

physicists from German universities (Ma<strong>in</strong>z, Bonn,<br />

Dortmund) and several research centers (GSI, FZJ, DESY<br />

and BNL).<br />

The HESR storage r<strong>in</strong>g will provide ion beams with a<br />

maximum momentum <strong>of</strong> 15 GeV/c. A 3.3 GeV electron<br />

r<strong>in</strong>g will be <strong>in</strong>tegrated <strong>in</strong>to the HESR tunnel, yield<strong>in</strong>g a<br />

c.m. energy <strong>of</strong> s 1/2 =13.5 GeV <strong>in</strong> head on collisions with<br />

protons.<br />

The production and acceleration <strong>of</strong> polarised electrons<br />

has been a standard feature at many electron accelerator<br />

facilities. A sufficient electron polarisation lifetime <strong>in</strong> the<br />

collider mode can be achieved by careful arrangement<br />

<strong>of</strong> the electron r<strong>in</strong>g lattice. Peak currents will be <strong>in</strong> the<br />

region <strong>of</strong> 25 Amps, which does not exceed the limits<br />

explored by exist<strong>in</strong>g storage r<strong>in</strong>gs.<br />

The production and transport <strong>of</strong> polarised protons or<br />

deuterons through the FAIR <strong>in</strong>jector cha<strong>in</strong> is also feasible,<br />

and so is the sp<strong>in</strong> stable operation <strong>of</strong> the HESR, s<strong>in</strong>ce its<br />

cooler solenoid can be operated as a full Siberian snake<br />

with only moderate additional effort. We therefore believe<br />

that sufficiently stable beams, with high polarisation<br />

(P e =P ion ~0.8) and arbitrary direction <strong>of</strong> the sp<strong>in</strong> <strong>in</strong> the<br />

<strong>in</strong>teraction region are achievable <strong>in</strong> proton operation.<br />

The use <strong>of</strong> the PANDA detector (which is foreseen<br />

for fixed target antiproton experiments at HESR) is an<br />

attractive and especially cost-effective solution, s<strong>in</strong>ce<br />

many <strong>of</strong> its components can also be utilised <strong>in</strong> collider<br />

mode. A design for the <strong>in</strong>teraction region has already<br />

been achieved. It is compliant with the needs <strong>of</strong> efficient<br />

particle detection and stable collider operation.<br />

This ‘conservative’ design is limited to lum<strong>in</strong>osities <strong>of</strong><br />

1.1x10 32 . A more aggressive approach, which requires<br />

advanced – but already demonstrated – techniques like<br />

crab cross<strong>in</strong>g, is under <strong>in</strong>vestigation. An <strong>in</strong>crease <strong>of</strong> the<br />

bunch number to 200 (collision rate 104 MHz) could then<br />

allow for a lum<strong>in</strong>osity <strong>of</strong> >4x10 32 .<br />

ENC@FAIR has to make use <strong>of</strong> the electron cooler at<br />

HESR (foreseen for antiproton cool<strong>in</strong>g <strong>in</strong> PANDA high<br />

lum<strong>in</strong>osity mode) <strong>in</strong> order to conserve transverse and<br />

longitud<strong>in</strong>al emittance dur<strong>in</strong>g collider operation and to<br />

achieve sufficiently small emittance dur<strong>in</strong>g acceleration.<br />

Therefore, for proton operation, the HESR cooler<br />

must be upgraded to 8.2 MeV at d.c. currents <strong>of</strong> several<br />

amps. The simultaneous achievement <strong>of</strong> these cooler<br />

parameters has not been demonstrated yet, but does<br />

not seem unrealistic.<br />

<strong>Perspectives</strong> <strong>of</strong> <strong>Nuclear</strong> <strong>Physics</strong> <strong>in</strong> <strong>Europe</strong> – NuPECC Long Range Plan 2010 | 51

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