Photo-production of lowest ${\Sigma }_{1/2^{-}}^{\ast }$ state within the Regge-effective Lagrangian approach

Abstract

Since the lowest ${\Sigma }^{\ast }$ state, with quantum numbers spin-parity $J^P=1/2^{-}$, is far from established experimentally and theoretically, we have performed a theoretical study on the ${\Sigma }_{1/2^{-}}^{\ast }$ photo-production within the Regge-effective Lagrangian approach. Taking into account that the ${\Sigma }_{1/2^{-}}^{\ast }$ couples to the $\bar{K}N$ channel, we have considered the contributions from the $t$-channel $K$ exchange diagram. Moreover, these contributions from $t$-channel $K^{\ast }$ exchange, $s$-channel nucleon pole, $u$-channel $\Sigma$ exchange, and the contact term, are considered. The differential and total cross sections of the process $\gamma n\to K^{+}{\Sigma }_{1/2^{-}}^{\ast -}$ are predicted with our model parameters. The results should be helpful to search for the ${\Sigma }_{1/2^{-}}^{\ast }$ state experimentally in future.

arXiv comment7 pages, 4 figures

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Cited by in corpus (6)

• Review of the low-lying excited baryons ${\Sigma }^{\ast }(1/2^{-})$
• Evidence of the low-lying baryon ${\Sigma }^{\ast }(1/2^{-})$ in the process ${\Lambda }_c^{+}\to \eta {\pi }^{+}\Lambda$
• Theoretical study of $N(1535)$ and ${\Sigma }^{\ast }(1/2^{-})$ in the Cabibbo-favored process ${\Lambda }_c^{+}\to p{\bar{K}}^0\eta$
• Study ${\Xi }_c^{+}\to \Lambda {\bar{K}}^0{\pi }^{+}$ and search for the low-lying baryons $\Xi (1/2^{-})$ and $\Sigma (1/2^{-})$
• Observation of ${\Lambda }_c^{+}\to \Lambda a_0(980{)}^{+}$ and Evidence for $\Sigma (1380{)}^{+}$ in ${\Lambda }_c^{+}\to \Lambda {\pi }^{+}\eta$
• Search for the low-lying excited baryon ${\Sigma }^{\ast }(1/2^{-})$ through process ${\Lambda }_c^{+}\to \Lambda K^0{\pi }^{+}$