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arXiv 1111.5319hep-th
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球标势阱中的Dirac粒子

Dirac particle in a spherical scalar potential well

R. Layeghnejad, M. Zare, R. Moazzemi

备注：
9 pages, 8 figures, revtex4, version to appear in PRD
发表信息：
Phys. Rev. D 84, 125026 (2011)
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摘要：

本文研究了自旋$\frac{1}2$粒子在完全球对称标量势阱中的Dirac方程的解。计算了夸克粒子在$s_{1/2}$态（含$κ=-1$）和$p_{1/2}$态（含$κ=1$）的能量本征值.我们还研究了在这种势场中夸克的连续狄拉克波函数，这种势不一定是无限的。我们的结果，在无限的极限，在良好的协议与MIT袋模型。我们对壁面上的波函数的尖锐值作了一些评论。这个模型，对于有限值的潜力，也可以作为一个有效的模型的原子核，其中$U(r)$是有效的单粒子势。

英文摘要：

In this paper we investigate a solution of the Dirac equation for a spin-$\frac{1}2$ particle in a scalar potential well with full spherical symmetry. The energy eigenvalues for the quark particle in $s_{1/2}$ states (with $κ=-1$) and $p_{1/2}$ states (with $κ=1$) are calculated. We also study the continuous Dirac wave function for a quark in such a potential, which is not necessarily infinite. Our results, at infinite limit, are in good agreement with the MIT bag model. We make some remarks about the sharpness value of the wave function on the wall. This model, for finite values of potential, also could serve as an effective model for the nucleus where $U(r)$ is the effective single particle potential.

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