Chinese Physics C > 1979, Vol. 3 > Issue(3): 285-296

THE TEST OF SLAC METHOD USING LEE MODEL

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Abstract：
Treating Lee Model by Slac method,we find that,to state ||V> of one particle and state ||VN> of two particles,there corresponds a solution of Slac bag type re-spectively.The latter bears resemblance to the former in energy especially for ||V> state with the replacement of the interaction constants gby g/√ eonly.In addition,the“bag”corresponds precisely to the scalar field in ||V> and ||VN> states.However,for ψ _N^-and ψ _V^-field,we get δ-function type solutions by Slac method.They deviate greatly from the rigorous solutions.The“skin confinement”as statedby Bardeen et al.,and Rafelski is closely related to the δ-confinment in the one par-tiele state found here by coherent state approximation.Thus it may not representthe physical picture in the rigorous solution of a quantum field theory.

References

[1]

W. A. Bareen et al., Phys. Rev, D11(1975), 1094.[2] T. D. Lee, Phys. Rev., 95 (1954).1329.[3] J. Rafelski. Phys. Rev., D14 (1976), 2358.[4] V. F. Weisskopf et al., Phys. Rev., D9 (1974), 3471.[5] M. Creutz, Phys, Rev., D10 (1974). 2599.[6] K. E. Cahill, R. I. Glauber, Phys. Rev., 177 (1969), 1857.[7] S. S. Schweber, "An introduction to Relativistic quantum field theory", New York, HarPer and Row, Inc. 1961.[8] S. Weinberg, Phys. Rev., 102 (1356), 258.

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YUE ZONG-WU and TANG JU-FEI. THE TEST OF SLAC METHOD USING LEE MODEL[J]. Chinese Physics C, 1979, 3(3): 285-296.

YUE ZONG-WU and TANG JU-FEI. THE TEST OF SLAC METHOD USING LEE MODEL[J]. Chinese Physics C, 1979, 3(3): 285-296. shu

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Received: 1978-05-12
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

THE TEST OF SLAC METHOD USING LEE MODEL

YUE ZONG-WU
TANG JU-FEI

Received Date:1978-05-12
Accepted Date:1900-01-01
Available Online:1979-06-05

Abstract:Treating Lee Model by Slac method,we find that,to state ||V> of one particle and state ||VN> of two particles,there corresponds a solution of Slac bag type re-spectively.The latter bears resemblance to the former in energy especially for ||V> state with the replacement of the interaction constantsgbyg/√eonly.In addition,the“bag”corresponds precisely to the scalar field in ||V> and ||VN> states.However,forψ_N^-andψ_V^-field,we getδ-function type solutions by Slac method.They deviate greatly from the rigorous solutions.The“skin confinement”as statedby Bardeen et al.,and Rafelski is closely related to theδ-confinment in the one par-tiele state found here by coherent state approximation.Thus it may not representthe physical picture in the rigorous solution of a quantum field theory.