Baryon-Baryon Bound States From First Principles
| dc.creator | da Veiga, Paulo A. Faria | |
| dc.creator | O'Carroll, Michael | |
| dc.date | 2006-10-10 | |
| dc.date.accessioned | 2026-07-07T07:28:09Z | |
| dc.date.available | 2026-07-07T07:28:09Z | |
| dc.description | We determine baryon-baryon bound states in 3+1 dimensional ${\rm SU}(3)$ lattice QCD with two flavors, $4\times 4$ spin matrices, and in an imaginary time formulation. For small hopping parameter, $κ>0$, and large glueball mass (strong coupling), we show the existence of three-quark isospin 1/2 particles (proton and neutron) and isospin 3/2 baryons (delta particles), with asymptotic masses $-3\lnκ$ and isolated dispersion curves. We only consider the existence of bound states of total isospin $I=0,3$. Using a ladder approximation to a lattice Bethe-Salpeter equation, baryon-baryon bound states are found in these two sectors, with asymptotic masses $-6\lnκ$ and binding energies of order $κ^2$. The dominant baryon-baryon interaction is an energy-independent spatial range-one potential with an ${\cal O}(κ^2)$ strength. There is also attraction arising from gauge field correlations associated with six overlapping bonds, but it is counterbalanced by Pauli repulsion to give a vanishing zero-range potential. The overall range-one potential results from a quark, antiquark exchange with {\it no} meson exchange interpretation; the repulsive or attractive nature of the interaction does depend on the isospin and spin of the two-baryon state. | |
| dc.identifier | https://arxiv.org/abs/hep-lat/0610070 | |
| dc.identifier | http://arxiv.org/abs/hep-lat/0610070 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/117629 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.subject | Mathematical Physics | |
| dc.subject | Spectral Theory | |
| dc.title | Baryon-Baryon Bound States From First Principles | |
| dc.type | text |