Numerical modeling of a proton spin-flipping system in the spin transparency mode at an integer spin resonance in JINR's Nuclotron

2021 ◽  
Vol 16 (12) ◽  
pp. P12039
Author(s):  
Yu.N. Filatov ◽  
A.M. Kondratenko ◽  
M.A. Kondratenko ◽  
V.V. Vorobyov ◽  
S.V. Vinogradov ◽  
...  
Keyword(s):  
Numerical Modeling ◽  
Spin Dynamics ◽  
Orbital Plane ◽  
Proton Spin ◽  
Polarization Direction ◽  
Spin Motion ◽  
Proton Polarization ◽  
Polarization Control ◽  
Integer Spin ◽  
Spin Resonance

Abstract In this paper we propose a lattice insertion for the Nuclotron ring called a “spin navigator” that can adjust any direction of the proton polarization in the orbital plane using weak solenoids. The polarization control is realized in the spin transparency mode at the energy of 108 MeV, which corresponds to the integer spin resonance γ G = 2. The requirements on the navigator solenoid fields are specified considering the criteria for stability of the spin motion during any manipulation of the polarization direction in an experiment. The paper presents the results of numerical modeling of the proton spin dynamics in the Nuclotron ring operated in the spin transparency mode. The verified spin navigator is aimed at an experimental study of a spin-flipping system using the Nuclotron ring. The results are relevant to the NICA (JINR), EIC (BNL) and COSY (FZJ) facilities where the spin transparency mode can be applied for polarization control.

scholarly journals Spin response function technique in spin-transparent synchrotrons

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
Y. N. Filatov ◽  
A. M. Kondratenko ◽  
M. A. Kondratenko ◽  
Y. S. Derbenev ◽  
V. S. Morozov ◽  
...  
Keyword(s):  
Response Function ◽  
Orbital Motion ◽  
Spin Dynamics ◽  
Function Technique ◽  
Beam Polarization ◽  
Spin Motion ◽  
Direct Relevance ◽  
Polarization Control ◽  
Orbit Perturbation ◽  
Spin Response

Abstract Small perturbative fields in a synchrotron influence both the spin and orbital motion of a stored beam. Their effect on the beam polarization consists of two contributions, a direct kick and an effect of the ring lattice due to orbit perturbation. Spin response function is an analytic technique to account for both contributions. We develop such a technique for the spin-transparent synchrotrons where the design spin motion is degenerate. Several perspective applications are illustrated or discussed. In particular, we consider the questions of the influence of lattice imperfections on the spin dynamics and spin manipulation during an experiment. The presented results are of a direct relevance to NICA (JINR), RHIC (BNL), EIC (BNL) and other existing and future colliders when they arranged with polarization control in the spin-transparent mode.

scholarly journals A New Formalism for Classifying Spin-Orbit Systems Using Tools Distilled from the Theory of Bundles

2016 ◽  
Vol 40 ◽  
pp. 1660098
Author(s):  
K. Heinemann ◽  
D. P. Barber ◽  
J. A. Ellison ◽  
M. Vogt
Keyword(s):  
Normal Form ◽  
Spin Dynamics ◽  
Invariant Sets ◽  
Spin Orbit ◽  
Spin Tensor ◽  
Spin Vector ◽  
Spin Motion ◽  
New Formalism ◽  
Fibre Bundles ◽  
Ongoing Work

We give an informal summary of ongoing work which uses tools distilled from the theory of fibre bundles to classify and connect invariant fields associated with spin motion in storage rings. We mention four major theorems. One ties invariant fields with the notion of normal form, the second allows comparison of different invariant fields and the two others tie the existence of invariant fields to the existence of certain invariant sets. We explain how the theorems apply to the spin dynamics of spin-[Formula: see text] and spin-[Formula: see text] particles. Our approach elegantly unifies the spin-vector dynamics from the T-BMT equation with the spin-tensor dynamics and other dynamics and suggests an avenue for addressing the question of the existence of the invariant spin field.

scholarly journals Spin dynamics of YbRh2Si2observed by electron spin resonance

2007 ◽  
Vol 19 (11) ◽  
pp. 116204 ◽  
Author(s):  
J Sichelschmidt ◽  
J Wykhoff ◽  
H-A Krug von Nidda ◽  
J Ferstl ◽  
C Geibel ◽  
...  
Keyword(s):  
Electron Spin Resonance ◽  
Electron Spin ◽  
Spin Dynamics ◽  
Spin Resonance

scholarly journals Unconventional spin dynamics in the honeycomb-lattice material α−RuCl3 : High-field electron spin resonance studies

2017 ◽  
Vol 96 (24) ◽  
Author(s):  
A. N. Ponomaryov ◽  
E. Schulze ◽  
J. Wosnitza ◽  
P. Lampen-Kelley ◽  
A. Banerjee ◽  
...  
Keyword(s):  
Electron Spin Resonance ◽  
Electron Spin ◽  
High Field ◽  
Spin Dynamics ◽  
Honeycomb Lattice ◽  
Field Electron ◽  
Spin Resonance ◽  
Lattice Material

Spin Dynamics and Simulation of Spin Motion in Storage Rings

2008 ◽  
Author(s):  
D.P. Barber ◽  
D. P. Barber ◽  
N. Buttimore ◽  
S. Chattopadhyay ◽  
G. Court ◽  
...  
Keyword(s):  
Spin Dynamics ◽  
Storage Rings ◽  
Spin Motion

scholarly journals Spin Dynamics of (Sc $$_{1-x}$$ 1 - x Lu $$_{x}$$ x ) $$_{3.1}$$ 3.1 In Studied by Electron Spin Resonance

2018 ◽  
Vol 49 (5) ◽  
pp. 493-498
Author(s):  
Archie Cable ◽  
Eteri Svanidze ◽  
Jessica Santiago ◽  
Emilia Morosan ◽  
Jörg Sichelschmidt
Keyword(s):  
Electron Spin Resonance ◽  
Electron Spin ◽  
Spin Dynamics ◽  
Spin Resonance

The magnetic moment of the proton, I. The value in nuclear magnetons

1963 ◽  
Vol 272 (1348) ◽  
pp. 79-102 ◽  
Keyword(s):  
Magnetic Field ◽  
Resonance Frequency ◽  
Magnetic Moment ◽  
Cyclotron Frequency ◽  
Proton Spin ◽  
Experimental Results ◽  
Consistent Theory ◽  
Free Proton ◽  
Spin Resonance ◽  
Proton Cyclotron

The magnetic moment of the proton has been measured in nuclear magnetons by comparing the proton spin resonance frequency with the proton cyclotron frequency in the same magnetic field. A consistent theory of the motion of the ions in the modified decelerating cyclotron used for measuring the cyclotron frequency has been developed in order to interpret the experimental results. Deceleration of protons by means of a decelerating protential at eight and sixteen times their cyclotron frequency, and of H + 2 ions at sixteen times their cyclotron frequency were observed. The result, related to the spin resonance frequency of the free proton, is that the magnetic moment of the proton is 2·79277 ± 0·00005 nuclear magnetons.

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