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Monte Carlo Of Trapped Ultracold Neutrons In The Ucnτ Trap, Nathan Callahan, Chen-Yu Liu, Fransisco Gonzalez, Evan Adamek, James D. Bowman, Leah J. Broussard, S. M. Clayton, S. Currie, C. Cude-Woods, E. B. Dees, X. Ding, E. M. Egnel, D. Fellers, W. Fox, Peter Geltenbort, Kevin P. Hickerson, M. A. Hoffbauer, A. T. Holley, A. Komives, S. W.T. Macdonald, Marc Makela, C. L. Morris, J. D. Ortiz, Robert W. Pattie Jr., J. Ramsey, D. J. Salvat, A. Saunders, Susan J. Seestrom, E. I. Sharapov, Sky L. Sjue, Z. Tang, J. Vanderwerp, B. Vogelaar, P. L. Walstrom, Z. Wang, H. Weaver, W. Wei, J. Wexler, A. R. Young, B. A. Zeck

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In the UCNτ experiment, ultracold neutrons (UCN) are confined by magnetic fields and the Earth’s gravitational field. Field-trapping mitigates the problem of UCN loss on material surfaces, which caused the largest correction in prior neutron experiments using material bottles. However, the neutron dynamics in field traps differ qualitatively from those in material bottles. In the latter case, neutrons bounce off material surfaces with significant diffusivity and the population quickly reaches a static spatial distribution with a density gradient induced by the gravitational potential. In contrast, the field-confined UCN—whose dynamics can be described by Hamiltonian mechanics—do not exhibit the stochastic behaviors …