Analysis of the data on spin density matrix elements for $\gamma p\to K^{\ast +}\Lambda$

Abstract

In our previous work [Phys. Rev. C {\bf 96}, 035206 (2017)], the high-precision differential cross-section data for $\gamma p\to K^{\ast +}\Lambda$ reported by the CLAS Collaboration has been analyzed within an effective Lagrangian approach. It was found that apart from the $t$-channel $K$, $K^{\ast }$, and $\kappa$ exchanges, the $u$-channel $\Lambda$, $\Sigma$, and ${\Sigma }^{\ast }$ exchanges, the $s$-channel $N$ exchange, and the interaction current, one needs to introduce at least two nucleon resonances in the $s$ channel in constructing the reaction amplitudes to describe the cross-section data. One of the needed resonances is $N(2060)5/2^{-}$, and the other one could be one of the $N(2000)5/2^{+}$, $N(2040)3/2^{+}$, $N(2100)1/2^{+}$, $N(2120)3/2^{-}$, and $N(2190)7/2^{-}$ resonances. In this paper, we further include in our analysis the data on spin density matrix elements for $K^{\ast }$ meson reported recently by the CLAS Collaboration, with the purpose being to impose further constraints on extracting the resonance contents and to gain a better understanding of the reaction mechanism. It turns out that with the new data on spin density matrix elements taken into account, only the set with the $N(2060)5/2^{-}$ and $N(2000)5/2^{+}$ resonances among those five possible solutions extracted from the analysis of the differential cross-section data can satisfactorily describe the data on both the differential cross sections and the spin density matrix elements. Further analysis shows that this reaction is dominated by the $t$-channel $K$ exchange and $s$-channel $N(2060)5/2^{-}$ and $N(2000)5/2^{+}$ exchanges.

arXiv comment9 figures, 11 pages

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Cited by in corpus (4)

• Effects of $N(2000){5/2}^{+}$ on $\gamma p\to K^{+}\Lambda (1405)$
• Photoproduction $\gamma p\to K^{+}\Lambda (1520)$ in an effective Lagrangian approach
• Analysis of the data for $\gamma p\to f_1(1285)p$ photoproduction
• Photoproduction $\gamma p\to K^{+}\Lambda (1690)$ in an effective Lagrangian approach