Abstract
A simple algebraic model with rules of isospin superselection is formulated and tested on few-nucleon systems. It is shown that physically obtainable states corresponding to the bound states of these nucleons can be gained by applying symmetrical monoidal C* categories whose objects are G-modules, and whose morphisms are G-invariant homomorphisms.
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REFERENCES
Haag, R., Local Quantum Physics. Fields, Particles, Algebras, Berlin–Heidelberg: Springer, 1996.
Khoruzhii, S.S., Vvedenie v algebraicheskuyu kvantovuyu teoriyu polya (Introduction to the Algebraic Quantum Field Theory), Moscow: Nauka, 1986.
Doplicher, S., Haag, R., and Roberts, J.E., Commun. Math. Phys., 1971, vol. 23, p. 199.
Doplicher, S. and Roberts, J.E., Commun. Math. Phys., 1990, vol. 131, p. 51.
Doplicher, S. and Roberts, J.E., Invent. Math., 1989, vol. 98, p. 157.
Doplicher, S. and Roberts, J.E., Ann. Math., 1989, vol. 130, p. 75.
Doplicher, S. and Roberts, J.E., J. Funct. Anal., 1987, vol. 74, p. 96.
Sitenko, A.G. and Kharchenko, V.F., Sov. Phys. Usp., 1971, vol. 14, p. 125.
Kharchenko, V.F., Fiz. Elem. Chastits At. Yadra, 1979, vol. 10, no. 4, p. 884.
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Translated by N. Semenova
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Kirillov, M.I., Nikitin, A.S. & Sitdikov, A.S. An Algebraic Model of Nucleon Systems with Rules of Isospin Superselection. Bull. Russ. Acad. Sci. Phys. 82, 1274–1278 (2018). https://doi.org/10.3103/S1062873818100131
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DOI: https://doi.org/10.3103/S1062873818100131