島根大学総合理工学部紀要.シリーズA

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島根大学総合理工学部紀要.シリーズA 32
1998-12-24 発行

短距離相互作用をもつスピノール-スピノール系についての収束のための方策

A Resort for Convergence about Spinor-Spinor Systems with Short-Range Interactions
猪野 武敏
ファイル
内容記述(抄録等)
The one-gluon-exchange interaction includes a contact term, which includes the spin-spin interaction. Such a contact interaction leads to divergent integrals. About combinations of the Fermi-type interactions including the spin-spin interaction, we present a new resort for convergence. In addition to the non-local form factor with 4 end points introduced by Kristensen and Moller, a factor for convergence is introduced. Under a specific combination of the Fermi-type interactions, the wave function is able to be normalized and the eigenvalue is able to be obtained even in the case where the cut-off momentum is taken to be infinity, as the factor for convergence works.