<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Λ</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>2910</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Λ</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>2940</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math> as conventional baryons dressed with the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>D</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mi>N</mml:mi></mml:math> channel

Abstract

In this work, we treat ${\mathrm{\ensuremath{\Lambda}}}_{c}(2910{)}^{+}$ and ${\mathrm{\ensuremath{\Lambda}}}_{c}(2940{)}^{+}$ as the conventional $udc$ cores dressed with the ${D}^{*}N$ channel. We provide a possible interpretation to both ${\mathrm{\ensuremath{\Lambda}}}_{c}(2910{)}^{+}$ and ${\mathrm{\ensuremath{\Lambda}}}_{c}(2940{)}^{+}$ within the same framework. In the study, we consider not only the effects between the conventional triquark core and the ${D}^{*}N$ channel but also the ${D}^{*}N\text{\ensuremath{-}}{D}^{*}N$ interactions. The mass of the ${\mathrm{\ensuremath{\Lambda}}}_{c}$ state with ${J}^{P}=1/{2}^{\ensuremath{-}}$ is larger than that with ${J}^{P}=3/{2}^{\ensuremath{-}}$ in this unquenched picture, which is very different from the prediction of the conventional quenched quark model. Based on the mass spectrum, the spin parity of ${\mathrm{\ensuremath{\Lambda}}}_{c}(2940{)}^{+}$ is more likely to be $1/{2}^{\ensuremath{-}}$, while ${\mathrm{\ensuremath{\Lambda}}}_{c}(2910{)}^{+}$ prefers $3/{2}^{\ensuremath{-}}$. We look forward to the future experiments that can test our results with more precise experimental data.

Topics & Concepts