R. D. Amado

On Efimov's effect: A new pathology of three-particle systems

Abstract We prove rigorously that the number of bound states of a three-body system grows according to the formula N ∼ 1/ π ln (| a |/ R ) when the ratio of scattering lengths, α, to the range, R , of two-body forces is large, in agreement with Efimovs recent claim. We discuss the meaning of this effect in terms of the behavior of the Faddeev equations describing the three-particle system, and clarify several points of Efimovs paper.

Momentum distributions in the nucleus

Abstract The nuclear form factor F(q) and one particle momentum distribution p(q) can be shown to have a power law decrease for large momenta. For the form factor F(q) we show that it is q/A that must be large for this asymptotic behavior to be important. For only q large the form factor, in a simple model, is shown to decrease exponentially in q. A similar behavior for p(q) is proposed.

Bose-Einstein pion correlations in NN annihilations

Abstract We study intensity correlations for pions from N N annihilation at rest. Pions coming from a coherent source with local isospin show strong Hanbury-Brown Twiss correlations for like charged pairs. Isospin projections, integration over the source and experimental binning leads to the emergence of these correlations without any thermal or related random phase assumptions.

The Skyrme model of the spin-orbit force☆☆☆

Abstract We examine the derivation of the spin-orbit force from the Skyrme model. We find substantial agreement with phenomenological potentials. We show that a systematic and simultaneous treatment of all components of the kinetic energy introduces a minus sign relative to previous calculations for the isospin independent part of the interaction. We also explain the smallness of the isospin dependent part of the spin-orbit potential.

Nucleon-antinucleon interaction from the Skyrme model

We calculate the nucleon-antinucleon static potential in the Skyrme model using the product ansatz and including some finite

Dynamics of antibaryon-baryon annihilation in the Skyrme model

{\mathit{N}}_{\mathit{C}}

Branching ratios in proton antiproton annihilation from Skyrmion dynamics

(number of colors) corrections. The mid- and long-range part of the spin-spin and tensor force are mostly correctly given in both isospin channels while the central interaction has insufficient midrange attraction. This is a well-known problem of the product ansatz that should be repaired with better Skyrme dynamics. \textcopyright{} 1996 The American Physical Society.

Classical and quantum coherent state description of [ital N[bar N]] annihilation at rest in the Skyrme model with [omega] mesons

Abstract We examine the dynamics of a baryon number zero lump in the Skyrme picture, as a model for annihilation in the NN system. We find that radiation propagates at the causal limit as a localized pulse and that the linearized theory gives a good approximation. Both of these results are contrary to findings in the sine-Gordon model.

Nucleon-antinucleon interaction from the Skyrme model. II. Beyond the product ansatz

Abstract We use classical Skyrmion dynamics extended to include vector mesons to describe the mesons (π, ϱ, ω) coming from proton antiproton annihilation at rest as classical fields. We then quantize these fields by the method of coherent states. This treatment gives a nearly parameter free account of the major features of the pion branching ratios in annihilation.

PARAMETERIZATION OF THE THREE-BODY D-FUNCTION.

We model the [ital N[bar N]] system at rest as a baryon number zero lump in the Skyrme model including the [omega] field. We integrate the classical equations of motion from the highly nonperturbative annihilation region into the noninteracting radiation zone. Subsequent coherent state quantization of the radiation field give a good description of the pion spectrum from annihilation at rest.