Strong decays of the low-lying <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mi>P</mml:mi></mml:math> - and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mi>D</mml:mi></mml:math> -wave <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi mathvariant="normal">Σ</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:math> baryons

In this work, we systematically study the OZI-allowed two-body strong decay properties of $1P$- and $1D$-wave $\Sigma_c$ baryons within $j $-$j$ coupling scheme in framework quark pair creation model. For a comparison, also give predictions chiral Some model dependencies can be found two models. The calculations indicate that: (i) $1P$-wave $\lambda$-mode states most likely to relatively narrow with width $\Gamma<80$ MeV. Their main channels are $\Lambda_c\pi$, or $\Sigma_c\pi$, $\Sigma_c^*\pi$. $\rho$-mode might broad $\Gamma\sim 100-200$ They dominantly into $\Sigma_c\pi$ $\Sigma_c^*\pi$ channels. evidences these observed $\Lambda_c\pi$ $\Lambda_c\pi\pi$ invariant mass spectra around energy range $2.75-2.95$ GeV. (ii) excitations may moderate about dozens mainly charmed baryon via pionic processes. Meanwhile, several have significant rates $DN$ $D^*N$. Hence, $D^*N$ interesting for experimental exploration. (iii) Furthermore, $\Sigma_c|J^P=5/2^+,3\rangle_{\rho\rho}$ $|J^P=7/2^+,3\rangle_{\rho\rho}$ fairly state MeV, they $\Lambda_c\pi$. them $3.1-3.2$