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and systems in quark delocalization color screening model
The and systems with and , ,
, and are investigated within the
framework of quark delocalization color screening model. The results show that
all the positive parity states are unbound. By coupling to the
channel, the state with can form a bound
state, which can be invoked to explain the observed state. The
mass of the with is close to that of the
reported , which indicates that
can be explained as a molecular state in QDCSM. Besides, the with is also a possible resonance state.
The results of the bottom case of system are similar to those of the
system. Searching for these states will be a challenging subject of
experiments.Comment: 7 pages, 3 figures. arXiv admin note: text overlap with
arXiv:1510.04648, arXiv:1311.473
The chromatic spectrum of 3-uniform bi-hypergraphs
Let be a finite set of positive integers with
and . For any positive integers , we
construct a family of 3-uniform bi-hypergraphs with the feasible set
and , where each is the th
component of the chromatic spectrum of . As a result, we solve one
open problem for 3-uniform bi-hypergraphs proposed by Bujt\'{a}s and Tuza in
2008. Moreover, we find a family of sub-hypergraphs with the same feasible set
and the same chromatic spectrum as it's own. In particular, we obtain a small
upper bound on the minimum number of vertices in 3-uniform bi-hypergraphs with
any given feasible set
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