Resolving the low mass puzzle of ${\Lambda }_c(2940{)}^{+}$

Abstract

For the long standing low mass puzzle of ${\Lambda }_c(2940{)}^{+}$, we propose an unquenched picture. Our calculation explicitly shows that the mass of the ${\Lambda }_c(2P,3/2^{-})$ state can be lowered down to be consistent with the experimental data of ${\Lambda }_c(2940{)}^{+}$ by introducing the $D^{\ast }N$ channel contribution. Additionally, we give a semi-quantitative analysis to illustrate why the ${\Lambda }_c(2940{)}^{+}$ state has a narrow width. It means that the low mass puzzle of ${\Lambda }_c(2940{)}^{+}$ can be solved. What is more important is that we predict a mass inversion relation for the $2P$ ${\Lambda }_c^{+}$ states, i.e., the ${\Lambda }_c(2P,1/2^{-})$ state is higher than the ${\Lambda }_c(2P,3/2^{-})$, which is totally different from the result of conventional quenched quark model. It provides a criterion to test such an unquenched scenario for ${\Lambda }_c(2940{)}^{+}$. We expect the future experimental progress from the LHCb and Belle II.

5 pages, 2 figures. Accepted by Eur. Phys. J. C for publication

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