Document Type

Article

Publication Date

12-29-2014

Abstract

Background: A primary goal of deuteron electrodisintegration is the possibility of extracting the deuteron momentum distribution. This extraction is inherently fraught with difficulty, as the momentum distribution is not an observable and the extraction relies on theoretical models dependent on other models as input.

Purpose: We present a new method for extracting the momentum distribution which takes into account a wide variety of model inputs thus providing a theoretical uncertainty due to the various model constituents. To test the extraction, pseudodata were generated, and the extracted “experimental” distribution, which has theoretical uncertainty accounted by this extraction method, can be compared to the theoretical distribution. This procedure can provide an upper bound on the deuteron momentum distribution.

Method: The calculations presented here are using a Bethe-Salpeter-like formalism with a wide variety of bound state wave functions, form factors, and final state interactions.

Results: In the examples we compared, the original distribution was typically within the error band of the extracted distribution. The input wave functions do contain some outliers which are discussed in the text. Due to the reliance on the theoretical calculation to obtain this quantity, any extraction method should account for the theoretical error inherent in these calculations due to model inputs.

Conclusions: The extraction method works well and provides a systematic way to investigate the deuteron momentum distribution, while accounting for theoretical uncertainty and providing a theoretical error band.

Comments

© American Physical Society (APS) "Momentum Distributions for 2H(e,e′p)". Physical Review C 90, 6 (2014)]

Publication Title

Physical Review C - Nuclear Physics

Volume

90

Issue

6

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