Analysis of the data on differential cross sections and spin density matrix elements for <math><mrow><mi>γ</mi><mi>p</mi><mo>→</mo><msup><mi>ρ</mi><mn>0</mn></msup><mi>p</mi></mrow></math> - INSPIRE

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Analysis of the data on differential cross sections and spin density matrix elements for $γ p \to ρ^{0} p$

Ai-Chao Wang
(
- Beijing, GUCAS and
- Qingdao U.
)
,
Neng-Chang Wei
(
- Henan Normal U.
)
,
Fei Huang
(
- Beijing, GUCAS
)

Feb 17, 2025

12 pages

Published in:

Phys.Rev.C 111 (2025) 2, 025205,
Phys.Rev.C 111 (2025) 2

Published: Feb 26, 2025

e-Print:

2502.11499 [hep-ph]

DOI:

10.1103/PhysRevC.111.025205 (publication)

View in:

ADS Abstract Service

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Abstract: (APS)

The newly published data on spin density matrix elements from the GlueX Collaboration, along with the previously released differential cross-section data from the CLAS Collaboration and the other two experiments for the

γ p \to ρ^{0} p

reaction, are systematically investigated using an effective Lagrangian approach within the tree-level Born approximation. The model combines contributions from

t

-channel meson exchanges (

π, η

, and

f_{2}

),

s

-channel nucleon (

N

) and nucleon resonance (

N^{*}

) exchanges,

u

-channel

N

exchange, and a generalized contact term to construct the scattering amplitudes. Regge propagators are employed for

t

-channel amplitudes to incorporate the contributions from mesons with various spins lying on the same trajectories. The analysis shows that the background contributions, dominated by the

f_{2}

-trajectory exchange, provide a satisfactory description of the data in the high-energy and forward-angle regions. The inclusion of specific nucleon resonances, such as

N (2100) 1 / 2^{+}, N (2060) 5 / 2^{-}

, or

Δ (2000) 5 / 2^{+}

, significantly improves the description of the differential cross-section data at near-perpendicular scattering angles in the low-energy region. Predictions of photon beam and target nucleon asymmetries are provided, offering valuable insights to discriminate reaction mechanisms when corresponding data become available in the future.

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