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exotic nuclei structure and reaction noyaux exotiques ... - IPN - IN2P3

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Etude des Distributions de Partons Généralisées<br />

du nucléon à CLAS<br />

<strong>IPN</strong>O Participation: A. Fradi, M. Guidal, B. Moreno, M. Mac Cormick, S. Niccolai, S. Pisano<br />

Collaboration : SPhN Saclay<br />

The group is studying the Generalized Parton Distributions of the nucleon by measuring a series of exclusive<br />

meson <strong>and</strong> photon electroproduction processes at the Jefferson Laboratory. We summarize below our<br />

activities <strong>and</strong> results of these past two years.<br />

Generalized Parton Distributions (GPDs) have<br />

emerged this past decade as a powerful concept<br />

<strong>and</strong> tool to study nucleon <strong>structure</strong>. Among many<br />

aspects, the GPDs describe the (correlated) spatial<br />

<strong>and</strong> momentum distributions of the quarks in the<br />

nucleon, a feature unknown to this day. As a<br />

consequence of these (longitudinal) momentum-<br />

(transverse) space correlations, there is the possibility<br />

to access the contribution of quarks to the<br />

orbital momentum of the nucleon. This is of great<br />

interest for instance for the "spin puzzle" of the<br />

nucleon, a long-st<strong>and</strong>ing issue in nucleon <strong>structure</strong><br />

studies.<br />

GPDs are the <strong>structure</strong> functions which are accessed<br />

in hard exclusive leptoproduction of a photon<br />

( ) or a meson (M) on the nucleon (N), such as:<br />

*N->N(M, ). Jefferson Lab, with its 6 GeV continous<br />

electron beam (to be upgraded to 12 GeV in<br />

a couple of years), is a unique facility to begin to<br />

explore these exclusive processes in a systematic<br />

<strong>and</strong> precise fashion <strong>and</strong> extract some first insights<br />

on GPDs.<br />

Our group has played a leading role for several<br />

years in this GPD experimental program within the<br />

JLab Hall B collaboration, which uses the large<br />

acceptance CLAS spectrometer. We review in this<br />

short report our activity of these past two years.<br />

Early 2009, we have published the largest set ever<br />

of total <strong>and</strong> differential cross sections for the exclusive<br />

electroproduction of the<br />

0 meson (see Ref.<br />

[1]). Fig.1 (which made the cover page of the first<br />

EPJA issue of 2009) shows the (longitudinal) differential<br />

cross section d /dt for this process for different<br />

(x B, Q 2 ) bins. The Q 2 variable represents the<br />

"hardness" of the collision. If it is sufficiently large,<br />

the whole *p ->p 0 process can be interpreted in<br />

terms of a collision between the virtual photon *<br />

<strong>and</strong> a quark inside the nucleon. The x B variable<br />

can then be associated, in a first approximation, to<br />

the momentum fraction of the quark which is hit by<br />

this virtual photon. The t variable, which represents<br />

the momentum transfer between the final <strong>and</strong> initial<br />

state proton, can be associated to the size of<br />

the target nucleon. Precisely, the slope of<br />

d /dt reflects, under certain conditions, the size of<br />

the target nucleon. Thus, under the reserve that<br />

the experimental data are at sufficiently large Q 2<br />

<strong>and</strong> that thus a quark-level GPD interpretation is<br />

possible, Fig.1 shows how the size of the nucleon<br />

tends to increase (i.e. the t slope sharpens) as the<br />

probed momentum fraction of the quarks decrease<br />

(i.e. x B decreases). In other words, this suggests<br />

that high-momentum quarks (x B close to 1), i.e. the<br />

valence region) would tend to be located in the<br />

core of the nucleon while low-momentum quarks<br />

(x B close to 0), i.e. the ``sea" region of quarkantiquark<br />

pairs, would extend up to the periphery,<br />

in accordance with a traditional image of a meson<br />

cloud surrounding the nucleon core.<br />

Fig.1: Longitudinal cross section d /dt (in b/GeV 2 )<br />

for the *p ->p 0 <strong>reaction</strong> for all our (x B, Q 2 ) bins as<br />

a function of t (in GeV 2 ).<br />

The GPDs are universal objects. This means that<br />

the same quantities (weighted by different kinematic<br />

or charge coefficients) can be accessed in other<br />

exclusive processes. It is therefore important to<br />

validate <strong>and</strong> confirm the preliminary conclusions<br />

that are drawn from the<br />

0 channel by studying<br />

other channels. We have therefore also explored<br />

the exclusive electroproduction of the<br />

+ meson.<br />

Fig.2 shows the (longitudinal) differential cross<br />

section d /dt of the *p ->n + process for different<br />

(x B, Q 2 ) bins. The same x B evolution of the t slope<br />

as in Fig.1 is observed, providing further ground<br />

<strong>and</strong> constraints for GPD interpretation. This is the<br />

world first ever measurement of this <strong>reaction</strong>,<br />

which has been the PhD subject of A. Fradi who<br />

48

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