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arXiv 0712.2680nucl-th
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违反宇称核力的~ 3 He和~ 3 H波函数的张量和算符形式

Tensor and Operator Forms of 3He and 3H Wave Functions for Parity-Violating Nuclear Forces

V. Kotlyar

摘要:

讨论了总角动量I=1/2的三核子束缚态波函数的张量表示。TR中的WF有16个复杂的分量,取决于相对动量矢量。研究了空间反演和时间反演不变性要求对WF的约束。3 N束缚态的奇偶偶分量和奇偶奇分量都是用16个标量函数构造的。函数的辐角是相对动量的大小和动量的标量积。由于核力是时间反演不变的,这些函数是实数。TR中的WF被转换成算子形式,考虑奇偶性违反的贡献。比较了2N核和3 N核工作流算符表示的性质。

英文摘要:

Tensor representation (TR) for wave function (WF) of three-nucleon bound state with the total angular momentum I=1/2 is discussed. The WF in TR has 16 complex components depending on vectors of relative momenta. Constraints on the WF imposed by requirements of invariance with respect to space inversion and time reversal are studied. Both parity-even and parity-odd components of the 3N bound state are constructed using 16 scalar functions. The arguments of the functions are magnitudes of relative momenta and scalar product of the momenta. With nuclear forces being time-reversal invariant these functions are real. The WF in TR is converted into an operator form, accounting for parity violating contributions. Properties of operator representations for WFs of 2N and 3N nuclei are compared.

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