$Nd\to {}^{3}H\gamma$ with Effective Field Theory

Abstract

The cross section of neutron-deuteron radiative capture $nd\to {}^{3}H\gamma$ is calculated at energies relevant to Big-Bang nucleosynthesis ($20\le E\le 200$ Kev) with pionless Effective Field Theory. At these energies, magnetic transition M1 gives the dominant contribution. The M1 amplitude is calculated up to next-to-next-to leading order(N${}^2$LO) with insertion of three-body force. Results are in good agreement within few percent theoretical uncertainty in comparison with available calculated data below E=200 Kev.

Comments: 16 pages, 9 figures, 1 table, Version to be published by Nucl. Phys. A