Abstract

The photoproduction reaction of $\ensuremath{\gamma}p\ensuremath{\rightarrow}{K}^{+}\mathrm{\ensuremath{\Lambda}}(1405)$ is investigated based on an effective Lagrangian approach at the tree-level approximation with the purpose of understanding the reaction mechanism and extracting the resonance contents and the associated resonance parameters in this reaction. Apart from the $t$-channel $K$ and ${K}^{*}$ exchanges, $s$-channel nucleon ($N$) exchange, $u$-channel $\mathrm{\ensuremath{\Sigma}}, \mathrm{\ensuremath{\Lambda}}$, and $\mathrm{\ensuremath{\Lambda}}(1405)$ exchanges, and generalized contact term, the exchanges of a minimum number of $N$ resonances in the $s$ channel are taken into account in constructing the reaction amplitudes to describe the experimental data. It is found that by introducing the $N(2000){5/2}^{+}$ resonance exchange in the $s$ channel, one can reproduce the most recent differential cross-section data from the CLAS Collaboration quite well. Further analysis shows that the cross sections of $\ensuremath{\gamma}p\ensuremath{\rightarrow}{K}^{+}\mathrm{\ensuremath{\Lambda}}(1405)$ at high energies are dominated by the $t$-channel $K$ exchange, while the contributions from the $s$-channel $N$ and $N(2000){5/2}^{+}$ exchanges are rather significant to the cross sections in the near-threshold energy region. Predictions for the beam and target asymmetries for $\ensuremath{\gamma}p\ensuremath{\rightarrow}{K}^{+}\mathrm{\ensuremath{\Lambda}}(1405)$ are given.

Highlights

  • The study of nucleon resonances (N∗’s) has always been of great interest in hadron physics, as a deeper understanding of baryon resonances is essential to get insight into the nonperturbative regime of quantum chromodynamics (QCD)

  • Lagrangians, the resonance propagator, and the phenomenological form factors employed in the present work

  • The products of the coupling constants g(RiN) γ gR ∗K (i = 1, 2), which are relevant to the amplitudes of γ p → K+ (1405), are treated as fit parameters in the present work due to the lack of experimental information on the resonance N (2000)5/2+ decay

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Summary

INTRODUCTION

The study of nucleon resonances (N∗’s) has always been of great interest in hadron physics, as a deeper understanding of baryon resonances is essential to get insight into the nonperturbative regime of quantum chromodynamics (QCD). [13] shows that the required resonance contribution in K∗ photoproduction is from the (1905)5/2+ resonance exchange and the cross sections of γ p → K∗ are rather small around W ≈ 2.1 GeV In this case, the effects of the K∗ intermediate state on the γ p → K+ (1405) reaction, which is regarded as a triangle singularity mechanism in. The scattered symbols are data from the CLAS Collaboration [14] We analyze the available differential cross-section data from the CLAS Collaboration [14] for the γ p → K+ (1405) reaction within an effective Lagrangian approach at the tree-level approximation.

FORMALISM
Effective Lagrangians
Resonance propagator
Form factors
RESULTS AND DISCUSSION
SUMMARY AND CONCLUSION
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