Bulletin of the American Physical Society
4th Joint Meeting of the APS Division of Nuclear Physics and the Physical Society of Japan
Volume 59, Number 10
Tuesday–Saturday, October 7–11, 2014; Waikoloa, Hawaii
Session EA: 3D Imaging of the Nucleon |
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Chair: Volker Burkert, Thomas Jefferson National Accelerator Facility Room: Kohala 1 |
Thursday, October 9, 2014 7:00PM - 7:45PM |
EA.00001: 3D structure of nucleon with virtuality distributions Invited Speaker: Anatoly Radyushkin We describe a new approach to transverse momentum dependence in hard processes. Our starting point is coordinate representation for matrix elements of operators (in the simplest case, bilocal ${\cal O} (0,z)$) describing a hadron with momentum $p$. Treated as functions of $(pz)$ and $z^2$, they are parametrized through {\it parton virtuality distribution} (PVD) $\Phi (x, \sigma)$, with $x$ being Fourier-conjugate to $(pz)$ and $\sigma$ Laplace-conjugate to $z^2$. For intervals with $z^+=0$, we introduce the {\it transverse momentum distribution} (TMD) $f (x, k_\perp)$, and write it in terms of PVD $\Phi (x, \sigma)$. The results of covariant calculations, written in terms of $\Phi (x, \sigma)$ are converted into expressions involving $f (x, k_\perp)$. We propose models for soft PVDs/TMDs,and describe how one can generate high-$k_\perp$ tails of TMDs from primordial soft distributions. [Preview Abstract] |
Thursday, October 9, 2014 7:45PM - 8:30PM |
EA.00002: 3D imaging of the nucleon with JLab experiments Invited Speaker: Silvia Pisano Deeply-Virtual Compton scattering and semi-inclusive meson production experiments at Jefferson Lab are probing the nucleon's partonic structure both in the transverse coordinate space (encoded in the Generalized Parton Distributions) and in the transverse momentum space (encoded in the Transverse Momentum Dependent distributions). The combination of the high-intensity, high-polarization electron beam provided by the CEBAF with the complementary equipments of the three experimental halls makes JLab an ideal enviroment for the analysis of both exclusive and semi-inclusive processes, allowing high-precision measurements of the observables of interest in a wide kinematical region. The important results obtained during the 6-GeV era will be described, together with the future studies proposed for the 12-GeV upgrade. Eventually, analyses of a large body of experimental data, collected with a high precision in an extended kinematical region, will lead to multi-dimensional space-momentum imaging of the nucleon. [Preview Abstract] |
Thursday, October 9, 2014 8:30PM - 9:15PM |
EA.00003: 3D structure of hadrons by high-energy exclusive processes Invited Speaker: Shunzo Kumano Three dimensional (3D) structure of the nucleon has been investigated by generalized parton distributions (GPDs) and transverse-momentum-dependent parton distributions (TMDs). These distributions contain information on longitudinal momentum distributions of partons and transverse form factors. The GPDs have been measured by virtual-Compton and meson-production processes in lepton scattering. However, there is a possibility that the GPDs can be investigated at hadron facilities such as J-PARC by using $\pi N \to N' \mu^+ \mu^-$ and $NN \to N' \pi B$. First, possible GPD studies at hadron facilities are discussed. Next, the 3D studies could be extended to probe internal structure of exotic hadron candidates. Hard exclusive production of an exotic hadron should be used for determining the number of active constituents by the constituent-counting rule in perturbative QCD. The number of valence quarks should be reflected in the longitudinal parton distributions at medium and large $x$, and the transverse form factors contain information on exotic nature by the constituent-counting rule. We also suggest that generalized distribution amplitudes (GDAs), which are investigated by the $s$-$t$ crossed process to the virtual Compton, should be appropriate quantities for determining the internal structure of hadrons. [Preview Abstract] |
Thursday, October 9, 2014 9:15PM - 10:00PM |
EA.00004: The nucleon spin and angular momentum Invited Speaker: Yoshitaka Hatta In this talk I review the recent developments in the decomposition of the nucleon spin in QCD. I first explain two of the most well-known decomposition schemes, namely Jaffe-Manohar and Ji schemes, and discuss their pros and cons. I then introduce the newly achieved decomposition which is essentially the gauge invariant completion of the Jaffe-Manohar scheme. In this approach, the orbital angular momenta of quarks and gluons are related to certain moments of the Wigner distribution. Moreover, one can define the density (in Bjorken x) of the orbital angular momentum and determine its exact relation to twist-three generalized parton distributions (GPDs). Finally, if I have time, I will mention the case with the transverse spin decomposition as well as the possibility to measure the gluon helicity $\Delta G$ on a lattice. [Preview Abstract] |
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