Model dependence of the H2 electric dipole moment

Iraj Afnan, B Gibson

    Research output: Contribution to journalArticlepeer-review

    25 Citations (Scopus)


    Background: Direct measurement of the electric dipole moment (EDM) of the neutron is in the future; measurement of a nuclear EDM may well come first. The deuteron is one nucleus for which exact model calculations are feasible. Purpose: We explore the model dependence of deuteron EDM calculations. Methods: Using a separable potential formulation of the Hamiltonian, we examine the sensitivity of the deuteron EDM to variation in the nucleon-nucleon interaction. We write the EDM as the sum of two terms, the first depending on the target wave function with plane-wave intermediate states, and the second depending on intermediate multiple scattering in the 3P 1 channel, the latter being sensitive to the off-shell behavior of the 3P 1 amplitude. Results: We compare the full calculation with the plane-wave approximation result, examine the tensor force contribution to the model results, and explore the effect of short-range repulsion found in realistic, contemporary potential models of the deuteron. Conclusions: Because one-pion exchange dominates the EDM calculation, separable potential model calculations will provide an adequate description of the H2 EDM until such time as a measurement better than 10% is obtained.

    Original languageEnglish
    Article number064002
    Pages (from-to)064002-1-064002-8
    Number of pages8
    JournalPhysical Review C
    Issue number6
    Publication statusPublished - 16 Dec 2010


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