148 research outputs found
Nuclear forces on the lattice
Recent studies by the NPLQCD collaboration of hadronic interactions using
lattice QCD are reviewed, with an emphasis on a recent calculation of
meson-baryon scattering lengths. Ongoing high-statistics calculations of baryon
interactions are also reviewed. In particular, new insights into the
signal/noise problems that plague correlation functions involving baryons are
discussed.Comment: 12 pages, 12 figures, Talk given at 6th International Workshop on
Chiral Dynamics, Bern, Switzerland, 6-10 Jul 200
New approach to NN with perturbative pions
The current status of effective field theory (EFT) descriptions of
nucleon-nucleon (NN) interactions is briefly reviewed, and a new formulation of
EFT which treats pion interactions perturbatively is presented. This approach
differs from the Kaplan-Savage-Wise (KSW) expansion in that the singular short
distance part of the pion tensor interaction is summed to all orders.Comment: 8 pages, 7 figures, Talk given at 6th International Workshop on
Chiral Dynamics, Bern, Switzerland, 6-10 Jul 200
Exploring Baryon Chiral Multiplets
The full QCD chiral symmetry algebra has predictive consequences at low
energies. I discuss the ground-state chiral multiplet involving the light
baryons and emphasize the special role of the Roper resonance.Comment: 10 pages. Invited plenary talk at NSTAR 2002, Pittsburgh, PA, 9-12
October 200
Nucleon-Nucleon Scattering in the 1/N Expansion
The nucleon-nucleon 3S1-3D1 coupled-channel problem is solved analytically to
leading order in a joint expansion in the quark masses and in 1/N. An
approximate expression is derived for the 3S1 scattering length in the large-N
limit, and the large-N behavior of the deuteron is discussed.Comment: 10 pages, Invited talk, The Phenomenology of Large-N_c QCD, to be
published Proceedings of the Institute of Nuclear Theor
Ground state energy of the interacting Bose gas in two dimensions: an explicit construction
The isotropic scattering phase shift is calculated for non-relativistic
bosons interacting at low energies via an arbitrary finite-range potential in d
spacetime dimensions. Scattering on a (d-1)-dimensional torus is then
considered, and the eigenvalue equation relating the energy levels on the torus
to the scattering phase shift is derived. With this technology in hand, and
focusing on the case of two spatial dimensions, a perturbative expansion is
developed for the ground-state energy of N identical bosons which interact via
an arbitrary finite-range potential in a finite area. The leading non-universal
effects due to range corrections and three-body forces are included. It is then
shown that the thermodynamic limit of the ground-state energy in a finite area
can be taken in closed form to obtain the energy-per-particle in the
low-density expansion, by explicitly summing the parts of the finite-area
energy that diverge with powers of N. The leading and subleading finite-size
corrections to the thermodynamic limit equation-of-state are also computed.
Closed-form results --some well-known, others perhaps not-- for two-dimensional
lattice sums are included in an appendix.Comment: 24 pages, 2 figure
Status of Effective Field Theory of NN Scattering
I review recent progress in developing a systematic power counting scheme for
scattering processes involving more than one nucleon.Comment: 9 pages LaTeX and appb.sty, 2 figures (uses epsf); Talk given at the
Workshop on 'The Structure of Mesons, Baryons and Nuclei', Cracow, May 1998,
in honor of J. Speth's 60th birthday, to be published in Acta Physica
Polonica
- …