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In addition to the common 3-body decay of the neutron $n\rightarrow pe^-\overline{\nu_e}$ there should exist an effective 2-body subset with theelectron and proton forming a Hydrogen bound state with well defined totalmomentum, total spin and magnetic quantum numbers. The atomic spectroscopicanalysis of this bound system can reveal details about the underlying weakinteraction as it mirrors the helicity distributions of all outgoing particles.Thus, it is unique in the information it carries, and an experiment unravellingthis information is an analogue to the Goldhaber experiment performed more than60 years ago. The proposed experiment will search for monoenergetic metastableBoB H atoms with 326 eV kinetic energy, which are generated at the center of athroughgoing beamtube of a high-flux reactor (e.g., at the PIK reactor,Gatchina). Although full spectroscopic information is needed to possibly revealnew physics our first aim is to prove the occurrence of this decay and learnabout backgrounds. Key to the detection is the identification of a monoerergticline of hydrogen atoms occurring at a rate of about 1 $\rm{s}^{-1}$ in theenvironment of many hydrogen atoms, however having a thermal distribution ofabout room temperature. Two scenarios for velocity (energy) filtering arediscussed in this paper. The first builds on an purely electric chopper system,in which metastable hydrogen atoms are quenched to their ground state and thusremain mostly undetectable. This chopper system employs fast switchableBradbury Nielsen gates. The second method exploits a strongly energy dependentcharge exchange process of metastable hydrogen picking up an electron whiletraversing an argon filled gas cell, turning it into manipulable chargedhydrogen. The final detection of hydrogen occurs through multichannel plate(MCP) detector.

Towards a first measurement of the free neutron bound beta decay detecting hydrogen atoms at a throughgoing beamtube in a high flux reactor