Improved determination of thermal cross section of 14N(n,p)14C for the neutron lifetime measurement at J-PARC.

A neutron lifetime measurement is in progress aiming at the 0.1% uncertainty at the Japan Proton Accelerator Complex. A time projection chamber is employed to measure the rate of neutron decays by detecting electrons from neutron decays and the incident neutron flux by detecting protons from the neutron absorption reaction by ${}^{3}{\rm He}$ diluted in the mixture of helium and CO$_2$ gas. The accuracy of the determination of the amount of dilute ${}^{3}{\rm He}$ is the crucial issue. We are studying to improve the number density of the ${}^{3}{\rm He}$ by using the ${}^{14}{\rm N}({\rm n},{\rm p}){}^{14}{\rm C}$ reaction, which have similar kinetic energy and smaller reaction cross section for reasonably large partial pressure for flux monitoring. In this paper, we report an accurate determination of the cross section of the $^{14}$N(n,p)$^{14}$C reaction at the neutron velocity of 2200 m/s by relative measurements with $^3$He(n,p)$^3$H reaction for the purpose. The obtained value was 1.870 $\pm$ 0.003 (stat.) $\pm$ 0.006 (sys.) b. The cross section of the $^{17}$O(n,$\alpha$)$^{14}$C reaction at the neutron velocity is also redetermined as 249 $\pm$ 6 mb.