RT Journal Article
T1 Baryonlike and mesonlike solitons in a one-dimensional Dirac model of extended particles
A1 Fernández-Rañada, Antonio
AB A version in 1+1 dimensions of a recently proposed model of an extended particle with confined constituents is presented. Several constitutive spinors, considered as classical c numbers, interact through a vector coupling. There are no solutions in which only one field is nonvanishing, because each of them acts as a source of the rest, so that they cannot be separated in any way. This gives a mechanism of confinement which operates at the classical level. Moreover, the bound states have the characteristic three-quark and quark-antiquark patterns and their analytic expression can be given in terms of the Thirring solitons. They keep their identity upon collisions, at least between particlelike solutions of the same kind. Accordingly, they are called baryonlike and mesonlike solitons.
PB American Physical Society
SN 0556-2821
YR 1986
FD 1986-03-15
LK https://hdl.handle.net/20.500.14352/64893
UL https://hdl.handle.net/20.500.14352/64893
LA eng
NO [1] A. F. Rañada, M. F. Rañada, Physica D 9, 251 (1983).[2] A. F. Rañada, M. F. Rañada, Phys. Rev. D 29, 985 (1984).[3] M. F. Rañada, Phys. Rev. D 30, 1830 {1984).[4] D. Ivanenko, Sov. Phys. 13, 141 (1938).[5] W. Heisenberg, Rev. Mod. Phys. 29, 269 (1957).[6] R. Finkelstein, R. Lelevier, M. Ruderman, Phys. Rev. 83, 3261 (1951).[7] M. Soler, Phys. Rev. D 1, 2766 (1970).[8] A. F. Rañada, Found. Phys. 15, 90 {1985).[9] A. F. Rañada, An. Fis. A 80, 91 (1984).[10] A. F. Rañada, in Proceedings of III International Symposium on Selected Topics on Statistical Mechanics, edited by V. B. Makhankov (Dubna, Moscow, 1984).[11] W. E. Thirring, Ann Phys. (N.Y.) 3, 91. (1958}.[12] S. J. Chang, S. D. Ellis, B. W. Lee, Phys. Rev. D 11, 3572 (1975).[13] S. Coleman, Phys. Rev. D 11, 2088 (1975).[14] S. J. Orfanidis, R. Wang, Phys. Lett. 57B, 281 (1975).[15] A. F. Rañada, Lett. Math. Phys. 10, 307 (1985).[16] A. V. Mikhailov, Pis'ma Zh. Eksp. Teor, Fiz. 23, 356 (1976) [JETP Lett. 23, 320 (1976)].[17] E. A. Kuznetsov, A. V. Mikhailov, Teor. Mat. Fiz. 30, 303 (1977) [Theor. Math. Phys. 30, 193 (1977)].[18] D. J. Kaup, A. C. Newell, Lett. Nuovo Cimento 20, 325(1977).[19] V. S. Gerdzhikov, M. I. Ivanov, P. P. Kulish, Teor. Mat. Fiz. 44, 342 (1980) [Theor. Math. Phys. 44, 784 1981)].[20] T. Kawata, T. Morishima, H. Inoue, J. Phys. Soc. Jpn. 47, 1327 (1979).[21] D. David, J. Harnard, S. Shnider, Lett. Math. Phys. 8, 27 (1984).
NO © 1986 The American Physical Society. I am very indebted to Dr. A. Alvarez and Dr. I.. Martinez Alonso for discussions. This work has been partially supported by Comision Asesora de Investigacion Cientifica y Tecnica (CAICYT) under Grant No. 2140/83.
NO Comisión Asesora de Investigación Científica y Técnica  (CAICYT)
DS Docta Complutense
RD 7 may 2024