Model of electromagnetic interactions with spin-1/2 neutral particles

2021 ◽  
Author(s):  
Stanley A. Bruce
Keyword(s):  
Homogeneous Magnetic Field ◽  
Bound State ◽  
Equation Of Motion ◽  
Pauli Equation ◽  
State Problem ◽  
Neutral Particles ◽  
Electromagnetic Interactions ◽  
Lorentz Scalar ◽  
Em Field ◽  
Bound State Problem

We address the bound-state dynamics of relativistic spin-1/2 neutral particles (in this paper, Dirac neutrinos) with anomalous magnetic dipole moment in the presence of an electromagnetic (EM) field described by a generalized Dirac–Pauli equation. This equation of motion is derived including appropriate couplings between Lorentz scalar and pseudoscalar fields with the EM field in the Lagrangian of the system. Specifically, we exactly solve the bound-state problem of neutrinos in the presence of a homogeneous magnetic field in cylindrical coordinates. We comment on the relevance of this approach to study Dirac neutrino self-interactions.

Singular integral equations in the bound-state problem

1965 ◽  
Vol 35 (3) ◽  
pp. 913-932 ◽  
Author(s):  
G. Cosenza ◽  
L. Sertorio ◽  
M. Toller
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Bound State ◽  
State Problem ◽  
Bound State Problem

Bound-state problem of theNΔandNΔΔsystems

1999 ◽  
Vol 59 (1) ◽  
pp. 46-52 ◽  
Author(s):  
R. D. Mota ◽  
A. Valcarce ◽  
F. Fernández ◽  
H. Garcilazo
Keyword(s):  
Bound State ◽  
State Problem ◽  
Bound State Problem

scholarly journals Note on the Bound State Problem

1955 ◽  
Vol 13 (3) ◽  
pp. 338-340
Author(s):  
Takao Okabayashi
Keyword(s):  
Bound State ◽  
State Problem ◽  
Bound State Problem

scholarly journals Inverse Methods and Relative Nuclear Radii

1984 ◽  
Vol 39 (6) ◽  
pp. 603-604 ◽  
Author(s):  
E. F. Hefter ◽  
I. A. Mitropolsky
Keyword(s):  
Analytical Solutions ◽  
Bound State ◽  
Inverse Methods ◽  
Binding Energies ◽  
The Self ◽  
State Problem ◽  
Full Expression ◽  
Bound State Problem

Inverse methods are applied to the nuclear bound-state problem. Considering only the self-interactions of these states analytical solutions results for potentials and densities. The simplest possible approximation to the full expression yields immediately ⊿R0i2 ≡ 〈r2 (Ai)〉 - 〈r2 (A0)〉 ~ - [B (Ai) - B (A0)] for the differences in the squared nuclear radii as functions of the respective binding energies per nucleon, B (Ai).

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