Quantum and classical dynamics of neutron in a magnetic field

被引：0
作者：
Bogomyagkov, A. [1 ,2 ]
Druzhinin, V.
Levichev, E. [1 ,2 ]
Milstein, A. [1 ]
Okunev, I. [1 ]
Taskaev, S. [1 ]
机构：
[1] RAS, SB, Budker Inst Nucl Phys, Lavrentieva Prospect 11, Novosibirsk 630090, Russia
[2] SRF SKIF, Nikolsy 1, Koltsov 630559, Russia
来源：
NUCLEAR PHYSICS B | 2025年 / 1012卷
关键词：
Neutron; Spin; Magnetic moment; Stern-Gerlach; Magnetic multipole; Storage ring; STERN-GERLACH EXPERIMENT; STORAGE; LIFETIME;
D O I：
10.1016/j.nuclphysb.2025.116833
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
The paper presents solution of quantum problem of neutron propagation in the magnetic field with multipole field expansion. Rigorous solution of the Pauli equation for neutron reveals existence of two solutions, finite and infinite, for any multipole configuration. As an example, we present detailed study of neutron motion in quadrupole and sextupole magnets. Our predictions agree with the results of Stern-Gerlach experiment for neutrons. To verify existence of finite and infinite motion, we discuss an experiment which could be performed in the Budker Institute of Nuclear Physics using existing equipment. We conclude with considerations of neutron storage ring with straight section and discrete magnets focusing the beam.
引用
收藏
页数：15
相关论文
共 22 条
  • [1] Schmidt-Bocking H., Schmidt L., Ludde H.J., Trageser W., Templeton A., Sauer T., The Stern-Gerlach experiment revisited, Eur. Phys. J. H, 41, pp. 327-364, (2016)
  • [2] Zelevinsky V., Quantum Physics, vol. 1: From Basics to Symmetries and Perturbations, (2011)
  • [3] Sherwood J., Stephenson T.E., Bernstein S., Stern-Gerlach experiment on polarized neutrons, Phys. Rev., 96, 6, pp. 1546-1548, (1954)
  • [4] Erozolimskii B., Mostovoi Y.A., Obinyakov B., Direct method of measuring the polarization of slow neutron beams, Prib. Teh. Èksp., 8, 1, (1965)
  • [5] Platt D.E., A modern analysis of the Stern–Gerlach experiment, Am. J. Phys., 60, 4, pp. 306-308, (1992)
  • [6] Hannout M., Hoyt S., Kryowonos A., Widom A., Quantum measurement theory and the Stern–Gerlach experiment, Am. J. Phys., 66, 5, pp. 377-379, (1998)
  • [7] Rodriguez E.B., Aguilar L.M.A., Martinez E.P., A full quantum analysis of the Stern–Gerlach experiment using the evolution operator method: analyzing current issues in teaching quantum mechanics, Eur. J. Phys., 38, 2, (2017)
  • [8] Fonseca-Romero K., A quantum treatment of the Stern-Gerlach experiment, (2024)
  • [9] Kugler K.-J., Moritz K., Paul W., Trinks U., Nestor — a magnetic storage ring for slow neutrons, Nucl. Instrum. Methods Phys. Res., Sect. A, Accel. Spectrom. Detect. Assoc. Equip., 228, 2, pp. 240-258, (1985)
  • [10] Paul W., Anton F., Mampe W., Paul L., Paul S., Measurement of the neutron lifetime in a magnetic storage ring, Z. Phys. C, 45, (1989)
123