Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2007-04-18
Phys.Rev.D76:054507,2007
Physics
High Energy Physics
High Energy Physics - Lattice
11 pages, 15 figures, 4 tables
Scientific paper
10.1103/PhysRevD.76.054507
We compute the ground-state energies of a heavy-light K-Lambda like system as a function of the relative distance r of the hadrons. The heavy quarks, one in each hadron, are treated as static. Then, the energies give rise to an adiabatic potential Va(r) which we use to study the structure of the five-quark system. The simulation is based on an anisotropic and asymmetric lattice with Wilson fermions. Energies are extracted from spectral density functions obtained with the maximum entropy method. Our results are meant to give qualitative insight: Using the resulting adiabatic potential in a Schroedinger equation produces bound state wave functions which indicate that the ground state of the five-quark system resembles a hadronic molecule, whereas the first excited state, having a very small rms radius, is probably better described as a five-quark cluster, or a pentaquark. We hypothesize that an all light-quark pentaquark may not exist, but in the heavy-quark sector it might, albeit only as an excited state.
Cook Merritt S.
Fiebig Rudolf H.
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