Summary
The hadronic vacuum in the mean field (MF) model is studied on the basis of the soliton model. The overlap of hadronic vacua is given corresponding to the MF potential and calculated explicitly in the case of a Gaussian potential. It is generally understood that the overlap of hadronic vacua is characterized by thearea of MF potential. The meaning of the «local approximation» in the calculation of one-hadron matrix elements is made clear.
We’re sorry, something doesn't seem to be working properly.
Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.
References
A. Chodos, R. L. Jaffe, K. Johnson, C. B. Thorn andV. F. Weisskopf:Phys. Rev. D,9, 3471 (1974).
M. Bando, T. Kugo andS. Tanaka:Prog. Theor. Phys.,53, 544 (1975);M. Bando, S. Tanaka andM. Toya:Prog. Theor. Phys.,55, 169 (1975).
A. Chodos, R. L. Jaffe, K. Johnson andC. B. Thorn:Phys. Rev. D,10, 2599 (1974);T. De Grand, R. L. Jaffe, K. Johnson andJ. Kiskis:Phys. Rev. D,12, 2060 (1975).
M. Bando, H. Sugimoto andM. Toya:Prog. Theor. Phys.,62, 168 (1979);H. Arisue, M. Bando, H. Sugimoto andM. Toya:Prog. Theor. Phys.,62, 1340 (1979).
K. Fujii, S. Kuroda, M. Bando andT. Okazaki:Phys. Rev. D,30, 1573 (1984);S. Kuroda, K. Fujii, M. Bando andT. Okazaki:Phys. Lett. B,146, 83 (1984);M. Bando, K. Fujii, Y. Abe, T. Okazaki andS. Kuroda:Phys. Rev. D,33, 548 (1986).
R. Friedberg andT. D. Lee:Phys. Rev. D,15, 1694 (1977);16, 1096 (1977);18, 2623 (1978);T. D. Lee: inParticle Physics and Introduction to Field Theory (Harwood Academic, New York, N. Y. 1981).
E. G. Lübeck, M. C. Birse, E. M. Henley andL. Wilets:Phys. Rev. D,33, 234 (1986);M. C. Birse, E. M. Henley, E. G. Lübeck andL. Wilets: inSolitons in Nuclear and Elementary Particle Physics, Proceedings of the 1984 Lewes Workshop, edited byA. Codos, E. Hadjimichael andH. C. Tze (World Scientific, Singapore, 1984).
H. R. Fiebig andE. Hadjimichael:Phys. Rev. D,30, 181 (1984);J. P. Ralston:Phys. Rev. D,33, 496 (1986).
K. Huang andD. R. Stump:Phys. Rev. D,14, 223 (1976).
Taking the approximate form of vacuum state functional in scalar field theory byG. Rosen:Phys. Rev.,160, 1278 (1967), the same expression has been obtained in ref. [9].K. Huang andD. R. Stump:Phys. Rev. D,14, 223 (1976).
H. Umezawa, H. Matsumoto andM. Tachiki:Thermo Field Dynamics and Condensed States (North-Holland Publishing Company, Amsterdam, Oxford, 1982).
The shape of vacuum overlap depends not only on thearea of potential (v 0 r 0) but also on the soliton mass (m σ r 0) as seen in (3.6). It is clear that the vacuum overlap has the same approximate form as (4.6) for a large soliton mass (Case I), which is considered byK. Huang andD. R. Stump for a square-well potential in ref.[9]..
T. H. R. Skyrme:Proc. R. Soc. London, Ser. A,260, 127 (1961);Nucl. Phys.,31, 556 (1962);G. S. Adkins, C. R. Nappi andE. Witten:Nucl. Phys. B,228, 552 (1983). See furtherSolitons in Nuclear and Elementary Particle Physics, edited byA. Chodos, E. Hadjimichael andC. Tze (World Scientific, Singapore, 1984).
Author information
Authors and Affiliations
Additional information
The authors of this paper have agreed to not receive the proofs for correction.
Rights and permissions
About this article
Cite this article
Okazaki, T., Fujii, K. Overlap of hadronic vacua in the soliton model. Nuov Cim A 104, 241–250 (1991). https://doi.org/10.1007/BF02910878
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02910878