Quantum and classical dynamics of neutron in a magnetic field

Fuente: arXiv
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Autores principales: Bogomyagkov, A., Druzhinin, V., Levichev, E., Milstein, A., Okunev, I., Taskaev, S.
Formato: Preprint
Publicado: 2024
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author Bogomyagkov, A.
Druzhinin, V.
Levichev, E.
Milstein, A.
Okunev, I.
Taskaev, S.
author_facet Bogomyagkov, A.
Druzhinin, V.
Levichev, E.
Milstein, A.
Okunev, I.
Taskaev, S.
contents 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 Insitute of Nuclear Physics using existing equipment. We conclude with considerations of neutron storage ring with straight section and discrete magnets focusing the beam.
format Preprint
id arxiv_https___arxiv_org_abs_2412_02115
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantum and classical dynamics of neutron in a magnetic field
Bogomyagkov, A.
Druzhinin, V.
Levichev, E.
Milstein, A.
Okunev, I.
Taskaev, S.
High Energy Physics - Experiment
High Energy Physics - Phenomenology
Accelerator Physics
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 Insitute of Nuclear Physics using existing equipment. We conclude with considerations of neutron storage ring with straight section and discrete magnets focusing the beam.
title Quantum and classical dynamics of neutron in a magnetic field
topic High Energy Physics - Experiment
High Energy Physics - Phenomenology
Accelerator Physics
url https://arxiv.org/abs/2412.02115