Strangeon Matter in a Liquid Drop Model

Abstract

The liquid drop model of 2-flavored ($u$ and $d$) nucleus is well known and successful, analogically, a similar drop model for 3-flavored ($u$, $d$ and $s$) nucleus is developed. A 3-flavored nucleus conjectured could be stable only if its baryon number is lager than a critical one, $A_{\rm c}$, in which strangeons are the constituent as an analogy of nucleons for nucleus. We try to model strangeon matter in a sense of phenomenological liquid drop, with two free parameters: the mass per bayron of a strangeon in vacuum, $M$, and potential deep between strangeons, $\epsilon$. It is found that, for $M\sim$ GeV and $\epsilon\sim 100$ MeV, strangeon matter could be stable and its critical number could be as low as $A_{\rm c}=300$.