Nuclear electric dipole moment of three-body system

TL;DR

This paper calculates the nuclear electric dipole moments of helium-3 and tritium using various theoretical frameworks and compares the results with previous studies and experimental implications.

Contribution

It introduces a comprehensive calculation of $^{3}He$ and $^{3}H$ EDMs using meson exchange and effective field theories with Faddeev equations, advancing the understanding of TRIV effects in three-body systems.

Findings

Calculated EDMs for $^{3}He$ and $^{3}H$ using multiple theoretical approaches.

Compared results with previous $^{3}He$ EDM calculations and neutron-deuteron TRIV effects.

Provided insights into the size and nature of TRIV effects in three-nucleon systems.

Abstract

Nuclear electric dipole moments of $^{3}He$ and $^{3}H$ are calculated using Time Reversal Invariance Violating (TRIV) potentials based on the meson exchange theory, as well as the ones derived by using pionless and pionful effective field theories, with nuclear wave functions obtained by solving Faddeev equations in configuration space for the complete Hamiltonians comprising both TRIV and realistic strong interactions. The obtained results are compared with the previous calculations of $^{3}He$ EDM and with time reversal invariance violating effects in neutron-deuteron scattering.