6533b854fe1ef96bd12adde7

RESEARCH PRODUCT

Production of N*(1535) and N*(1650) in Λc→K¯0ηp(πN) decay

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To study the properties of the ${N}^{*}$(1535) and ${N}^{*}$(1650), we calculate the mass distributions of $MB$ in the ${\mathrm{\ensuremath{\Lambda}}}_{c}\ensuremath{\rightarrow}{\overline{K}}^{0}MB$ decay, with $MB=\ensuremath{\pi}N(I=1/2),\phantom{\rule{0.28em}{0ex}}\ensuremath{\eta}p$, and $K\mathrm{\ensuremath{\Sigma}}(I=1/2)$. 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 $\ensuremath{\eta}N$ mass distribution only the ${N}^{*}$(1535) is seen, with the ${N}^{*}$(1650) contributing to the width of the curve, but for the $\ensuremath{\pi}N$ mass distribution both resonances are clearly visible. In the case of $MB=K\mathrm{\ensuremath{\Sigma}}$, we found that the strength of the $K\mathrm{\ensuremath{\Sigma}}$ mass distribution is smaller than that of the mass distributions of the $\ensuremath{\pi}N$ and $\ensuremath{\eta}p$ in the ${\mathrm{\ensuremath{\Lambda}}}_{c}^{+}\ensuremath{\rightarrow}{\overline{K}}^{0}\ensuremath{\pi}N$ and ${\mathrm{\ensuremath{\Lambda}}}_{c}^{+}\ensuremath{\rightarrow}{\overline{K}}^{0}\ensuremath{\eta}p$ processes, in spite of this channel having a large coupling to the ${N}^{*}(1650)$. This is because the $K\mathrm{\ensuremath{\Sigma}}$ pair production is suppressed in the primary production from the ${\mathrm{\ensuremath{\Lambda}}}_{c}$ decay.