Topological Solitons in Lowenergy Effective Lagrangians
Project/Area Number 
61540191

Research Category 
GrantinAid for General Scientific Research (C)

Allocation Type  Singleyear Grants 
Research Field 
核・宇宙線・素粒子

Research Institution  TOHOKU UNIVERSITY 
Principal Investigator 
EZAWA Zyun F. Tohoku University, Fuculty of Science, 理学部, 助手 (90133925)

CoInvestigator(Kenkyūbuntansha) 
TSUKAMOTO Tatsuo Tohoku University, Computer Center, 大型計算機センター, 助教授 (80004365)

Project Period (FY) 
1986 – 1987

Project Status 
Completed (Fiscal Year 1987)

Budget Amount *help 
¥1,400,000 (Direct Cost: ¥1,400,000)
Fiscal Year 1987: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1986: ¥900,000 (Direct Cost: ¥900,000)

Keywords  Effective Lagrangian / Topological Soliton / Skyrmion / Superstring / コンフォーマルゴースト / トポロジカルソリトン 
Research Abstract 
We have made researches on the following two subjects. 1. Topological Solitons in QCD Baryons can be considered as topological solitons (Skyrmions) in the system of mesons. The simple Skyrme model accounts for properties of nucleons with 30 % of accuracy. The first project was to improve numerical agreement by including vector mesons into the system. The modified model, which is a Weinbergtype chiral model, has become considerably complicated since it involves several new functions to bedetermined. However, the best fit we obtained was not better than 25% of accuracy. Our next project was to study quasistable solitons, which the Weinbergtype chiral model contains, decaying mainly into mesons. We predict this to be the meson recently discovered because it decays mainly in mesons. We made numerical studies of a quasistable soliton to determine its mass and lifetime. We have also tried to give proper quantum numbers to the quasistable solitons, without success, because isospin and spin of the topological soliton cannot be assigned independently to the Skyrmions. 2. Topological Solitons in String Theories It is believed that the ultimate theory of the elementary particles is the string theory. It would be exciting if all the elementary particles can be derived from the 26dimensional bosonic sring. As a first project towards this goal we have shown that the 10dimensional superstring emerges from the 26dimensional bosonic string, where the spacetime spinors are topological solitons. In our work we have explicitly constructed an OSp(9,1/2)xOSp(3,3/6) supermultiplet as topological solitons in the 26dimensional bosonic string. Here, the OSp(9,1/2) supermultiplet describes precisely the 10dimensional superstring. We have also proved that the OSp(3,3/6) supermultiplet is decoupled consistently by a mechanism similar to the nogo theorem in the covariant string theory.

Report
(2 results)
Research Products
(15 results)