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[PAST EVENT] Physics Seminar
October 21, 2013
3pm
Abstract:
Due to substantial computational and formal developments, lattice QCD calculations are finally able to study multi-nucleon systems. As the relation between the lattice QCD outputs and the physical quantities is in general non-trivial, an extraction of some of these quantities relies on a proper finite volume formalism. By generalizing the well-known Luescher method, I will present a formalism that enables a determination of scattering parameters of two-nucleon systems from the finite volume spectrum of two nucleons in an arbitrary spin, parity and angular momentum channel. In particular, I will show how the S-D mixing parameter in the coupled 3S1-3D1 channel at the deuteron binding energy can be extracted from finite volume calculations of energy eigenvalues with different center of mass boosts of the two-nucleon system. In addition to verifying the lattice QCD technique in the two-nucleon sector, a determination of the S-D mixing parameter directly from the underlying theory of QCD will shed more light on the nature of tensor forces in nuclear physics.
Due to substantial computational and formal developments, lattice QCD calculations are finally able to study multi-nucleon systems. As the relation between the lattice QCD outputs and the physical quantities is in general non-trivial, an extraction of some of these quantities relies on a proper finite volume formalism. By generalizing the well-known Luescher method, I will present a formalism that enables a determination of scattering parameters of two-nucleon systems from the finite volume spectrum of two nucleons in an arbitrary spin, parity and angular momentum channel. In particular, I will show how the S-D mixing parameter in the coupled 3S1-3D1 channel at the deuteron binding energy can be extracted from finite volume calculations of energy eigenvalues with different center of mass boosts of the two-nucleon system. In addition to verifying the lattice QCD technique in the two-nucleon sector, a determination of the S-D mixing parameter directly from the underlying theory of QCD will shed more light on the nature of tensor forces in nuclear physics.