Magnetic moment characterization of neodymium magnets and a didactic approach for muon anomaly (g-2)

In this work, considering a simplified model we estimate the magnetic moment $\bar{m}$ associated to two neodymium magnets with different geometries. We investigated how the effect of temperature modifies magnetic properties, such as the intensity of the magnetic field evaluated at the extreme of these magnets, based on these results we present a fictitious anomaly as an didactic purpose inspired by the discussion built throughout the work, which allows illustrating a current problem in the scenario of high energy physics, known as the muon (g-2) anomaly.

Keywords
Neodymium magnets; Magnetic moment; Dipole approximation; Magnetic moment of leptons

Authorship

Adriano Doff ^** Endereço de correspondência: agomes@utfpr.edu.br

Universidade Tecnológica Federal do Paraná, Ponta Grossa, PR, Brasil.Universidade Tecnológica Federal do ParanáBrasilPonta Grossa, PR, BrasilUniversidade Tecnológica Federal do Paraná, Ponta Grossa, PR, Brasil.

https://orcid.org/0000-0001-6934-503X

Romeu M Szmoski

* Endereço de correspondência: agomes@utfpr.edu.br

SCIMAGO INSTITUTIONS RANKINGS

Figures | Tables | Formulas

Figures (7)
Tables (4)
Formulas (26)

$d (m)$	$\| {\vec{F}}_{m} \| (N)$	${\bar{m}}_{e x t}^{a} (A . m^{2})$
0,031	0,77	1.09
0,028	0,86	0,94

$d (m)$	$\| {\vec{F}}_{m} \| (N)$	${\bar{m}}_{e x t}^{b} (A . m^{2})$
0,033	1.1	1.45
0,029	1.26	1.22

$Θ (^{o} C)$	$B_{e x t}^{a} (Θ)$	$Θ (^{o} C)$	$B_{e x t}^{b} (Θ)$
$-$ 18,3	0,503	$-$ 18,2	0,454
$-$ 9,0	0,499	$-$ 9,0	0,451
1,0	0,493	1,0	0,448
11,0	0,484	10,3	0,439
27,9	0,479	27,0	0,429
37,4	0,473	37,0	0,423
47,2	0,467	47,3	0,417

$B_{e x t} (T)$
(i)	(ii)	(iii)
0,48	0,49	0,48
0,52	0,49	0,47