Abstract
Polarization phenomena are expected and are important whenever we deal with particles with spin and especially whenever spin-dependent forces contribute to the interaction. Such forces such as a nuclear spin-orbit (L S) force, a spin-spin force, and a tensor force are present already in the interaction between two nucleons and must be considered in nucleus-nucleus interactions. Polarization observables need more complicated descriptions than the cross section. Definitions and the formalism of cartesian and spherical tensor moments are therefore explicitly given.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
For the following discussion a description in Cartesian coordinates is assumed. For spin-1 particles the indices z or zz with z along an arbitrary axis are explicitly written to distinguish between vector and tensor polarization.
References
Basel Convention in [BAS61] (1961)
H.H. Barschall, Am. J. Phys. 35, 119 (1967)
P. Huber, K.P. Meyer (eds.), Proc. Int. Symp. on Polarization Phenomena of Nucleons, Basel, 1960. Helv. Phys. Acta Suppl., vol. 6 (Birkhäuser, Basel, 1961)
D.M. Brink, G.R. Satchler, Angular Momentum (Clarendon Press, Oxford, 1971)
H.E. Conzett, Rep. Prog. Phys. 57, 1 (1994)
E.U. Condon, G.H. Shortley, The Theory of Atomic Spectra (Cambridge University Press, Cambridge, 1967)
M. Chaichian, R. Hagedorn, Symmetries in Quantum Mechanics—From Angular Momentum to Supersymmetry. Graduate Student Series in Physics (Inst. of Phys. Publ., Bristol and Philadelphia, 1998)
S.E. Darden, Am. J. Phys. 35, 727 (1967)
S.E. Darden, in [MAD71] (1971), p. 39
D. Fick (ed.), Proc. Meeting on Polarization Nucl. Phys., Ebermannstadt, 1973. Lecture Notes in Phys., vol. 30 (Springer, Berlin, 1974)
U. Fano, Phys. Rev. 90, 577 (1953)
U. Fano, Rev. Mod. Phys. 29, 74 (1957)
R.P. Feynman, Statistical Mechanics, vol. 39 (Benjamin, Reading, 1972)
D. Fick, Einführung in die Kernphysik mit polarisierten Teilchen (Teubner, Leipzig, 1971)
H. Paetz gen. Schieck, Nuclear Physics with Polarized Particles. Lecture Notes in Physics, vol. 842 (Springer, Berlin, 2012)
W. Lakin, Phys. Rev. 98, 139 (1958)
H.H. Barschall, W. Haeberli (eds.), Proc. 3rd Int. Symp. on Polarization Phenomena in Nucl. Reactions, Madison 1970 (University of Wisconsin Press, Madison, 1971)
Madison Convention in [MAD71], xxv (1971)
S.B. Nurushev, M.F. Runtso, M.N. Strikhanov, Introd. to Polarization Physics. Lecture Notes in Physics, vol. 859 (Springer, Heidelberg, 2013)
G.G. Ohlsen, Rep. Prog. Phys. 35, 717 (1972)
M.E. Rose, Elementary Theory of Angular Momentum (Wiley, New York, 1957)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Paetz gen. Schieck, H. (2014). Polarization in Nuclear Reactions—Formalism. In: Nuclear Reactions. Lecture Notes in Physics, vol 882. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-53986-2_5
Download citation
DOI: https://doi.org/10.1007/978-3-642-53986-2_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-53985-5
Online ISBN: 978-3-642-53986-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)