  A Kerr black hole (BH) surrounded by a neutrino-dominated accretion flow
(NDAF) is one of plausible candidates of the central engine in gamma-ray
bursts. The accretion material might inherit and restructure strong magnetic
fields from the compact object mergers or massive collapsars. The magnetic
coupling (MC) process between a rapid rotating BH and an accretion disc is one
of possible magnetic configurations that transfers the energy and angular
momentum from the BH to the disc. In this paper, we investigate one-dimensional
global solutions of NDAFs with MC (MCNDAFs), taking into account general
relativistic effects, detailed neutrino physics, different MC geometries, and
reasonable nucleosynthesis processes. Six cases with different accretion rates
and power-law indices of magnetic fields are presented and compared with NDAFs
without MC. Our results indict that the MC process can prominently impact the
structure, thermal properties, and microphysics of MCNDAFs, increase
luminosities of neutrinos and their annihilations, result in the changing of
radial distributions of nucleons, and push the region of heavy nuclei synthesis
to a larger radius than counterparts in NDAFs.
