Neutron-Neutron Fusion

Abstract

The neutron-neutron fusion process, $nn\to de\nu$, at very low neutron energies is studied in the framework of pionless effective field theory that incorporates dibaryon fields. The cross section and electron energy spectrum for this process are calculated up to next-to-leading order. We include the radiative corrections of $\mathcal{O}(\alpha )$ calculated for the one-body transition amplitude. The precision of our theoretical estimates is found to be governed essentially by the accuracy with which the empirical values of the neutron-neutron scattering length and effective range are currently known. Also discussed is the precision of theoretical estimates of the transition rates of related electroweak processes in few-nucleon systems.

14 pages, 4 figures, minor correction, accepted for publication in Phys. Lett. B

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• Effective field theory of the deuteron with dibaryon field
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Cited by in corpus (8)

• Radiative neutron capture on a proton at BBN energies
• Proton-proton fusion in pionless effective theory
• Low energy proton-proton scattering in effective field theory
• Investigation of the $nn\Lambda$ bound state in pionless effective theory
• Taking dibaryon fields seriously
• $pp\to pp{\pi }^0$ near threshold in pionless effective theory
• Effective Field Theory with Dibaryon Fields: Nucleon-Nucleon amplitudes at NNLO
• Neutrino-Deuteron Reactions at Solar Neutrino Energies in Pionless Effective Field Theory with Dibaryon Fields