⇡ Single meson electro-production at high Q2 with CLAS

Single π0 electro-production at high Q2 in the Delta resonance region




We report the analysis of exclusive single π0 electro-production in the Δ(1232) resonance region at Jefferson Lab in the Q2 range 2.4 → 6 GeV2. π0 c.m. angular distributions are obtained over the entire 4π c.m. solid angle and the c.m. differential cross section is measured.
The GM* form factor and multipoles ratios REM = E1+ / M1+ and RSM = S1+ / M1+ for the Δ(1232) resonance production are extracted using both a truncated multipoles analysis and the JANR unitary isobar model.


PRL Paper (inSPIRE) (arxiv pdf) Analysis Note (May 2009)




Cross Sections, Structure Functions and Legendre Coefficients Distributions

Experimental Cross Sections Theoretical Cross Sections
Structure Functions Legendre Coefficients
Multipoles






Main Results:

With high enough energy we expected to ‘see’ past the mesons / gluons cloud and be able to probe directly the quarks in the Δ(1232) resonance. This is clearly not the case at these energy: the meson/gluon contribution is still too strong, and unknown.

     
pi0   gemc
The Form Factor GM*/3GD. The filled red squares are from the current CLAS experiment utilizing the Unitary Isobar Model (UIM). The errors shown are statistical, while estimated systematic errors are shown as gray bars at the bottom of the graph. Also shown are selected earlier published results. The filled triangles correspond to a recent analysis of previous CLAS data and the filled circles are from an earlier JLab Hall C experiment.

Bottom Line

The magnetic form factor GM* decreases with Q2 faster than the elastic magnetic form factor.

ELI5

In general particles sizes decrease as the probe energy increase, typically like the proton. For some unknown reason, the Δ(1232) resonance size becomes smaller a lot faster.
  The ratios REM (upper panel) and RSM (lower panel). The filled red squares are from the current CLAS experiment utilizing the UIM. The errors shown are statistical, while estimated systematic errors are shown as gray bars at the bottom of the graph. Also shown are selected earlier published results. The filled triangles correspond to a recent analysis of previous CLAS data and the filled circles are from an earlier ]Lab Hall C experiment.

Bottom Line

REM is small and negative, while RSM remains negative and increases in magnitude. These results confirm the absence of pQCD scaling at these kinematics and suggest large helicity non-conservation.

ELI5

At these energies, we cannot use pQCD to describe the Δ(1232) resonance: the contributions from quark and gluons interactions is just too strong, and unknown.







Kijun Park π+ in the resonance region
Joo/Smith Pion σLT' in the Roper resonance region
Joo/Smith π+ σLT' in the Δ(1232) resonance region
Joo/Smith π0 σLT' in the Δ(1232) resonance region
H. Egiyan π+ at 0.25GeV2 < Q2 < 0.65GeV2
Inna Aznauryan Electroexcitation of the Roper resonance for 1.7GeV2 < Q2 < 4.5GeV2
A. Biselli π0 target and double spin asymmetries
Sato, Lee Dynamical Models of the Excitations of Nucleon Resonances
G. Ramalho A Covariant model for the nucleon and the Delta
V. Burkert Probing the nucleon structure with CLAS
V. Pascalutza Electromagnetic excitation of the Delta(1232)-resonance
Arndt, Briscoe Partial-Wave Analysis of Single-Pion Production Reactions