Relativistic corrections and unitary equivalence in elastic electron deuteron scattering

Abstract

The role of unitary equivalence of relativistic corrections in elastic electron deuteron scattering is studied, starting from a class of approximately, unitarily equivalent Hamiltonians and using consistent charge density operators. The connection of various formal approaches for deriving the relativistic corrections to wave functions and operators are discussed in detail. For reasons of simplicity, we have chosen a pure one-pion-exchange model and calculated the charge and quadrupole form factors of the deuteron. The numerical results show that the unitary equivalence holds at small momentum transfers, but breaks down rather soon with increasing momentum transfers (& 5 fm~).PACS number(s): 21.45.+v, 25.30.Hf, 13.40.Fn

From Hadrons to Nuclei: Crossing the Border

“…Making use of Eqs. (50), (46), (47), and (49), S-matrix elements can then be found in terms of the C 0 -irreducible vertices of the theory Since Σ and Γ both have a simple perturbative expansion in terms of Feynman graphs the right-hand side of this equation can be straightforwardly calculated to an arbitrary order in the Q-expansion, thereby providing a result for the current matrix element appearing on the left-hand side.…”

“…10, along with a potential-model calculation performed with the Bonn-B potential in the formulation of Ref. 47 . The second and third terms in Eq.…”

Repulsive short-range three-nucleon interaction

“…The same continuous parameter also acts as a chiral rotation to determine the pseudoscalar (µ = 0) or pseudovector (µ = 1) content of the pion-nucleon coupling in models of the nucleon-nucleon interaction or TNI's which obey approximate chiral symmetry [27]. Fixing arbitrarily this parameter (or the more general parameterμ which includes a specification of energy transfer in the non-relativistic πNN vertex [28]) means choosing a special representation of a unitarily equivalent class of operators. Because of this unitary equivalence, the observables should not depend on the value ofμ, i.e.…”

Relations between isoscalar charge form factors of two- and three-nucleon systems

“…The arguments for the choice of (μ, ν) are given in Ref. [7]. The identification of (μ, ν) is clean for the Bonn potentials, marginally convincing for the Paris potential and arbitrary for the RSC potential.…”

“…The mesons contribute through the meson-diagonal contact, meson-current and Born processes; those contributions are used in the form which Refs. [6,7] derives by the extended S-matrix method. The meson non-diagonal contributions, e.g., ρπγ, are included according to Ref.…”