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Title: Beam normal spin asymmetry for the e p e Δ ( 1232 ) process

Journal Article · · Physical Review D
 [1];  [2];  [3];  [4]
  1. College of William and Mary, Williamsburg, VA (United States)
  2. Univ. degli Studie di Pavia, Pavia (Italy); INFN Sezione di Pavia, Pavia (Italy)
  3. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  4. Johannes Gutenberg Univ., Mainz (Germany)

Here, we calculate the single spin asymmetry for the $$e p \to e \Delta(1232)$$ process, for an electron beam polarized normal to the scattering plane. Such single spin asymmetries vanish in the one-photon exchange approximation, and are directly proportional to the absorptive part of a two-photon exchange amplitude. As the intermediate state in such two-photon exchange process is on its mass shell, the asymmetry allows one to access for the first time the on-shell $$\Delta \to \Delta$$ as well as $$N^\ast \to \Delta$$ electromagnetic transitions. We present the general formalism to describe the $$e p \to e \Delta$$ beam normal spin asymmetry, and provide a numerical estimate of its value using the nucleon, $$\Delta(1232)$$, $$S_{11}(1535)$$, and $$D_{13}(1520)$$ intermediate states. We compare our results with the first data from the Qweak@JLab experiment and give predictions for the A4@MAMI experiment.

Research Organization:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
PHY-1516509; AC05-06OR23177; FG02-87ER40365
OSTI ID:
1416140
Alternate ID(s):
OSTI ID: 1414850
Report Number(s):
JLAB-THY-17-2630; DOE/OR/23177-4301; arXiv:1708.05316; PRVDAQ; TRN: US1800882
Journal Information:
Physical Review D, Vol. 96, Issue 11; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 14 works
Citation information provided by
Web of Science

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  • 11TH CONFERENCE ON THE INTERSECTIONS OF PARTICLE AND NUCLEAR PHYSICS: (CIPANP 2012), AIP Conference Proceedings https://doi.org/10.1063/1.4826847
conference January 2013
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Cited By (1)


Figures / Tables (9)

Figure-1(p. 3)figure Figure-1
Figure 2(p. 5)figure Figure 2
Δ process. The upper panel shows the phase-space regions for different c.m. angles θ cm as indicated on the ellipses for E e = 0.855 GeV ( s = 2.485 GeV 2 ), and for W = 0.9383 GeV (i.e. for a nucleon intermediate state). The lower panel shows the allowed values of the photon virtualities for different intermediate states for θ cm = 30 ° . We show three cases corresponding with the contribution of N , Δ ( 1232 ) and S 11 ( 1535 ) excitations. The accessible regions correspond with the interior of the ellipses. The intersection with the axes corresponds with quasi-VCS, whereas the situation at W = s m e where all ellipses shrink to the point Q 1 2 = Q 2 2 0 corresponds with quasi-RCS." data-ostiid="1416140">
Figure 3(p. 6)figure Figure 3
Figure-4(p. 13)figure Figure-4
Δ intermediate state contribution for E e = 0.855 GeV . The upper and lower panels show the distribution for θ cm = 30 deg and θ cm = 150 deg, respectively. The integrand takes zero value along the dashed curve. Larger negative (positive) values of I correspond with stronger shades of blue (red). The distance between the contours corresponds with 0.5 × 10 7 for the upper panel and 0.5 × 10 6 for the bottom panel." data-ostiid="1416140">
Figure-5(p. 14)figure Figure-5
Δ + process as a function of the lab scattering angle for a beam energy E e = 1.165 GeV . The curves denote the contributions from different intermediate states: nucleon (dashed-dotted red curve), Δ ( 1232 ) (dashed blue curve), S 11 ( 1535 ) + D 13 ( 1520 ) (dotted violet curve), and N + Δ + S 11 ( 1535 ) + D 13 ( 1520 ) (solid black curve). The data point is from the Qweak Collaboration [38]." data-ostiid="1416140">
Figure-6(p. 14)figure Figure-6
Δ + process as function of the lab scattering angle for a beam energy E e = 0.855 GeV where data have been taken by the A4@MAMI experiment [32, 33]. The curves denote the contributions from different intermediate states: nucleon (dashed-dotted red curve), Δ ( 1232 ) (dashed blue curve), S 11 ( 1535 ) + D 13 ( 1520 ) (dotted violet curve), and N + Δ + S 11 ( 1535 ) + D 13 ( 1520 ) (solid black curve)." data-ostiid="1416140">
Figure-7(p. 15)figure Figure-7
Δ + process as a function of the lab scattering angle, for beam energies in the Δ -resonance region where data have been taken by the A4@MAMI experiment [32, 33]. Upper panel: E e = 0.420 GeV ; lower panel: E e = 0.570 GeV . The curves denote the contributions from different intermediate states: nucleon (dashed-dotted red curves), Δ ( 1232 ) (dashed blue curves), and N + Δ (solid black curves)." data-ostiid="1416140">
Figure-8(p. 15)figure Figure-8
Δ + process at E e = 0.570 GeV on the Δ + magnetic dipole moment. The curves denote the contributions from N + Δ intermediate states for different values of μ Δ [in units of e / ( 2 M Δ ) ]: μ Δ = 1.5 (blue dashed curve), μ Δ = 3.0 (black solid curve), and μ Δ = 4.5 (red dashed-dotted curve)." data-ostiid="1416140">
Figure-9(p. 16)figure Figure-9

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