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Model Independence of Effective Field Theory

Anthony W. Thomas

Abstract

The use of effective field theory offers a systematic way to improve calculations of nuclear reactions and the properties of atomic nuclei. Its successes have led to the widespread belief that the predictions of this approach are model independent. We explain why this is definitely not the case.

Model Independence of Effective Field Theory

Abstract

The use of effective field theory offers a systematic way to improve calculations of nuclear reactions and the properties of atomic nuclei. Its successes have led to the widespread belief that the predictions of this approach are model independent. We explain why this is definitely not the case.
Paper Structure (3 sections, 5 equations, 2 figures)

This paper contains 3 sections, 5 equations, 2 figures.

Table of Contents

  1. Introduction
  2. A unitary transformation
  3. Concluding remarks

Figures (2)

  • Figure 1: Changes in the short distance wave function in the $^1S_0$ channel at zero energy before the unitary transformation (solid) and afterwards (dashed), with two choices of the parameter $\alpha$. The range of $\alpha$ is chosen so as to not change the one-pion-exchange tail of the nuclear force.
  • Figure 2: The results of Afnan and Thomas Thomas:1975qfg for the variation of the triton binding energy and the spin-1/2 neutron-deuteron scattering length as a function of the parameter $\alpha$ entering the unitary transformation described in the text.