Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
30 (1989), S. 2683-2688
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
A string can have a simple potential interaction only when it has a constant radius. The Hamiltonian for such a string is characterized by a cyclic radial momentum pr. Physical properties of this interacting string (or "ring'') are illustrated by exact solutions of quantum ring equations (with a "flavor potential'') in the four-dimensional space-time and in a particular reference frame. The energy eigenstates of the ring are ultrastable because flavor transitions between different states are forbidden. Furthermore, the ring can be permanently confined by a potential ∝r−1 ln(λr), and the size of the ring can be detected by scattering processes. In the absence of the electroweak interaction, a simple composite quark model based on a particle–ring interaction is discussed. It is found that the relation ms/mc≈mb/mt≈mb'/mb' holds independently of the parameters in the potential. Differences and similarities between quantum rings and Nambu strings are discussed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.528500
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