Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2006-10-10
Physics
High Energy Physics
High Energy Physics - Lattice
Scientific paper
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, $\kappa>0$, 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 $-3\ln\kappa$ 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 $-6\ln\kappa$ and binding energies of order $\kappa^2$. The dominant baryon-baryon interaction is an energy-independent spatial range-one potential with an ${\cal O}(\kappa^2)$ 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.
da Veiga Paulo A. Faria
O'Carroll Michael
No associations
LandOfFree
Baryon-Baryon Bound States From First Principles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Baryon-Baryon Bound States From First Principles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Baryon-Baryon Bound States From First Principles will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-578773