. AbstractWe consider ultracold neutron (UCN) sources based on a new method of UCN production in superfluid helium ( 4 He). The PIK reactor is chosen as a perspective example of the application of this idea, which consists of installing a 4 He UCN source in a beam of thermal or cold neutrons and surrounding the source with a moderator-reflector, which plays the role of a source of cold neutrons (CNs) feeding the UCN source. The CN flux in the source can be several times larger than the incident flux, due to multiple neutron reflections from the moderator-reflector. We show that such a source at the PIK reactor would provide an order of magnitude larger density and production rate than an analogous source at the ILL reactor.We estimate parameters of a 4 He source with solid methane (CH4) or/and liquid deuterium (D2) moderator-reflector. We show that such a source with CH4 moderator-reflector at the PIK reactor would provide the UCN density of ~110 5 cm -3 , and the UCN production rate of ~210 7 s -1 . These values are respectively 1000 and 20 times larger than those for the most intense UCN user source. The UCN density in a source with D2 moderator-reflector would reach the value of ~210 5 cm -3 , and the UCN production rate would be equal ~810 7 s -1. Installation of such sources in beams of CNs with equal flux would slightly increase the density and production rate.
IntroductionA new concept of super-thermal liquid-helium ( 4 He) UCN sources is presented in ref.[1]. Such sources can be installed in beams of thermal neutrons; thus at ILL (Grenoble) or PIK (Gatchina) such a source would provide parameters highly exceeding those of existing UCN sources. The present work develops ref.[1], considers source parameters in more detail, and applies the new concept to the PIK reactor. Note, however, that such a UCN source can be installed at any other thermal neutron source as well.The idea of 4 He UCN sources was proposed in 1975 in ref.[2]; it is based on neutron scattering in liquid 4 He accompanied with exciting phonons with the energy of 1.02 meV. If the incident neutron energy is slightly higher than 1.02 meV then the cold neutron (CN) is converted into a UCN. As the UCN energy is lower than ~300 neV, only CNs from a very narrow energy range contribute to the UCN production. Cross-sections of simultaneously exciting two or more phonons are lower by a few orders of magnitude. However, the energy of excited phonons is found in a broad range, thus UCNs are produced via multi-phonon processes from a broad spectrum of incident neutrons. Therefore total contributions of one-phonon and multi-phonon process are comparable if the incident neutron spectrum is broad.Work [2] showed also that produced UCNs can live for a long time in superfluid 4 He if its temperature is below 1K. Long lifetimes of UCNs allow accumulating them up to high densities. Neutron storage time changes sharply as a function of helium temperature. It equals to the neutron lifetime ~880 s at the temperature of 0.8 K, it is 10 times longer than that a...