Analysis of the <math display="inline"><mi>γ</mi><mi>p</mi><mo stretchy="false">→</mo><msup><mi>K</mi><mo>+</mo></msup><msup><mi mathvariant="normal">Σ</mi><mn>0</mn></msup><mo stretchy="false">(</mo><mn>1385</mn><mo stretchy="false">)</mo></math>, <math display="inline"><mi>γ</mi><mi>n</mi><mo stretchy="false">→</mo><msup><mi>K</mi><mo>+</mo></msup><msup><mi mathvariant="normal">Σ</mi><mo>-</mo></msup><mo stretchy="false">(</mo><mn>1385</mn><mo stretchy="false">)</mo></math>, and <math display="inline"><msup><mi>π</mi><mo>+</mo></msup><mi>p</mi><mo stretchy="false">→</mo><msup><mi>K</mi><mo>+</mo></msup><msup><mi mathvariant="normal">Σ</mi><mo>+</mo></msup><mo stretchy="false">(</mo><mn>1385</mn><mo stretchy="false">)</mo></math> reactions

Wang, Ai-Chao; Wei, Neng-Chang; Huang, Fei

doi:10.1103/PhysRevD.111.054032

Analysis of the $γ p \to K^{+} Σ^{0} (1385)$ , $γ n \to K^{+} Σ^{-} (1385)$ , and $π^{+} p \to K^{+} Σ^{+} (1385)$ reactions

Mar 1, 2025

12 pages

Published in:

Phys.Rev.D 111 (2025) 5, 054032

Published: Mar 1, 2025

e-Print:

2503.02295 [hep-ph]

DOI:

10.1103/PhysRevD.111.054032 (publication)

View in:

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Abstract: (APS)

A comprehensive analysis of all available data on cross sections and spin-dependent observables for the

γ p \to K^{+} Σ^{0} (1385)

,

γ n \to K^{+} Σ^{-} (1385)

, and

π^{+} p \to K^{+} Σ^{+} (1385)

reactions is performed within an effective Lagrangian framework. In addition to the

s

-channel

N

exchange,

t

-channel

K

and

K^{*}

exchanges,

u

-channel

Λ

,

Σ

, and

Σ^{*}

exchanges, and the interaction current, the

s

-channel contributions from a minimal set of

N

and

Δ

resonances are included in constructing the reaction amplitudes to describe the data. The analysis reveals that all available data for both photon- and hadron-induced

K Σ (1385)

production reactions can be simultaneously and satisfactorily reproduced when the contribution of the

s

-channel

Δ (1930) {5 / 2}^{-}

resonance is taken into account. The reaction mechanisms, particularly the resonance contributions in each considered reaction, are thoroughly analyzed and discussed in detail.

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