Production of $N^{\ast }(1535)$ and $N^{\ast }(1650)$ in ${\Lambda }_c\to {\bar{K}}^0\eta p$ $(\pi N)$ decay

Abstract

In order to study the properties of the $N^{\ast }$(1535) and $N^{\ast }$(1650) we calculate the mass distributions of $MB$ in the ${\Lambda }_c\to {\bar{K}}^{0}MB$ decay, with $MB=\pi N(I=1/2),\eta p$ and $K\Sigma (I=1/2)$. We do this by calculating the tree-level and loop contributions, mixing pseudoscalar-baryon and vector-baryon channels using the local hidden gauge formalism. The loop contributions for each channel are calculated using the chiral unitary approach. We observe that for the $\eta N$ mass distribution only the $N^{\ast }$(1535) is seen, with the $N^{\ast }$(1650) contributing to the width of the curve, but for the $\pi N$ mass distribution both resonances are clearly visible. In the case of $MB=K\Sigma$, we found that the strength of the $K\Sigma$ mass distribution is smaller than that of the mass distributions of the $\pi N$ and $\eta p$ in the ${\Lambda }_c^{+}\to {\bar{K}}^0\pi N$ and ${\Lambda }_c^{+}\to {\bar{K}}^0\eta p$ processes, in spite of this channel having a large coupling to the $N^{\ast }(1650)$. This is because the $K\Sigma$ pair production is suppressed in the primary production from the ${\Lambda }_c$ decay.

8 pages, 5 figures

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Cited by in corpus (7)

• Review of the low-lying excited baryons ${\Sigma }^{\ast }(1/2^{-})$
• Roles of $a_0(980)$, $\Lambda (1670)$, and $\Sigma (1385)$ in the ${\Lambda }_c^{+}\to \eta \Lambda {\pi }^{+}$ decay
• Theoretical study of $N(1535)$ and ${\Sigma }^{\ast }(1/2^{-})$ in the Cabibbo-favored process ${\Lambda }_c^{+}\to p{\bar{K}}^0\eta$
• Roles of the $N(1535)$ and $a_0(980)$ in the process ${\Lambda }_c^{+}\to {\pi }^{+}\eta n$
• Measurement of the absolute branching fraction of ${\Lambda }_c^{+}\to p{K}_{\mathrm{S}}^0\eta$ decays
• Role of ${\Sigma }^{\ast }(1/2^{-})$ baryons in ${\Lambda }_c\to \Lambda {\pi }^{+}{\pi }^{+}{\pi }^{-}$ decay
• Probing the isospin structure and low-lying resonances in ${\Lambda }_c^{+}\to n{\bar{K}}^0{\pi }^{+}$ decays