Heavy molecules and one-$\sigma /\omega$-exchange model

Abstract

In the framework of the one-boson-exchange model, we explore whether the intermediate and short-range forces from $\sigma /\omega$-exchange can be strong enough to bind heavy molecular states. ${\Lambda }_{c}D(\bar{D})$, and ${\Lambda }_c{\Lambda }_c({\bar{\Lambda }}_c)$ systems have been studied and compared. We find that the force from $\sigma$-exchange is attractive and dominant, whereas the $\omega$-exchange force not. As a consequence, the S-wave ${\Lambda }_{c}D$, ${\Lambda }_c{\Lambda }_c$, and ${\Lambda }_c{\bar{\Lambda }}_c$ can be possible molecular candidates. We further indicate that one hadron-hadron system with more light quarks $(u,d)$ can be easier to form a bound state. As a byproduct, by studying the heavy-quark mass dependence for the ${\Lambda }_{c}D(\bar{D})$-like and ${\Lambda }_c{\Lambda }_c({\bar{\Lambda }}_c)$-like systems, we find that the charm/bottom sector can easily accommodates molecular states. Finally, the ${\Lambda }_{c}N(\bar{N})$ and ${\Lambda }_{b}N(\bar{N})$ systems are investigated. Our results indicate that they are also likely to form bound states. By including one-$\pi$-exchange forces providing additional attraction when coupled channels are included, we expect many molecular states in heavy quark sectors.

8 pages, 3 figures, 8 tables

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