Speaker
Description
The construction of wavefunctions of multiquark hadrons that obey Fermi statistics can be difficult due to the ways that many particle spin-tensors mix symmetry across sectors. In our recent paper, we have developed technique to find these wavefunctions for color, spin, flavor, and angular coordinates using the correspondence between representations of SU(2) or SU(3) and representations of the symmetry group $S_n$ that works for any number $n$ of indistinguishable particles. In the paper we give hexaquark, pentaquark, as well as some higher quark count wavefunctions for many combinations of spin and flavor. The technique also works for finding wavefunctions of higher angular momentum, at both $L=1$ and $L=2$ as shown in another paper which focused on D-shell baryons. We are currently working on studying the pentaquark wavefunctions more closely, and their relation to baryon structure.
