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arXiv 1812.03005nucl-thhep-lathep-ph
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协变手征核子-核子接触拉格朗日量达到$\mathcal{O}(q^4)$阶

Covariant chiral nucleon-nucleon contact Lagrangian up to order $\mathcal{O}(q^4)$

Yang Xiao, Li-Sheng Geng, Xiu-Lei Ren

摘要:

我们采用协变的朴素量纲分析,构造了由洛伦兹、宇称、电荷共轭、厄米共轭和手征对称性约束的手征双核子接触拉格朗日量。我们表明,在$\mathcal{O}(q^0)$,$\mathcal{O}(q^2)$,$\mathcal{O}(q^4)$,其中$q$表示一个通用的小数量,有4,13,和23项,分别。我们发现,通过执行$1/m_N$扩展,协变拉格朗日减少到传统的非相对论性的,其中包括2,7,和15项在每个相应的顺序。

英文摘要:

We adopt a covariant version of the naive dimensional analysis and construct the chiral two-nucleon contact Lagrangian constrained by Lorentz, parity, charge conjugation, hermitian conjugation, and chiral symmetries. We show that at $\mathcal{O}(q^0)$, $\mathcal{O}(q^2)$, $\mathcal{O}(q^4)$, where $q$ denotes a generic small quantity, there are 4, 13, and 23 terms, respectively. We find that by performing $1/m_N$ expansions, the covariant Lagrangian reduces to the conventional non-relativistic one, which includes 2, 7, and 15 terms at each corresponding order.

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