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Measurement of the absolute branching fractions of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mi mathvariant="normal">Λ</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup><mml:mo stretchy="false">→</mml:mo><mml:mi mathvariant="normal">Λ</mml:mi><mml:mi>η</mml:mi><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:…
We study the decays ${\mathrm{\ensuremath{\Lambda}}}_{c}^{+}\ensuremath{\rightarrow}\mathrm{\ensuremath{\Lambda}}\ensuremath{\eta}{\ensuremath{\pi}}^{+}$ and $\mathrm{\ensuremath{\Sigma}}(1385{)}^{+}\ensuremath{\eta}$ based on ${\mathrm{\ensuremath{\Lambda}}}_{c}^{+}{\overline{\mathrm{\ensuremath{\Lambda}}}}_{c}^{\ensuremath{-}}$ pairs produced in ${e}^{+}{e}^{\ensuremath{-}}$ collisions at a center-of-mass energy of $\sqrt{s}=4.6\text{ }\text{ }\mathrm{GeV}$, corresponding to an integrated luminosity of $567\text{ }\text{ }{\mathrm{pb}}^{\ensuremath{-}1}$. The data sample was accumulated with the BESIII detector at the BEPCII collider. The branching fractions are measured …