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arXiv 1001.3676nucl-th
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两核子接触相互作用的相对论约束

Relativity constraints on the two-nucleon contact interaction

L. Girlanda, S. Pastore, R. Schiavilla, M. Viviani

摘要:

我们构造了最一般的、相对论不变的、在幂次计数中为Q^2阶的接触拉格朗日量,Q表示低动量标度。一个完整的,但非最小的(接触)相互作用项的集合被确定,在非相对论性约化后产生2个Q^0阶的主导独立算符组合和7个Q^2阶的次主导算符组合--这是以前在有效场论(EFT's)的重子公式中导出的结果。我们表明,庞加莱协方差的理论需要额外的条款与固定的系数被包括在内,为了描述的参考系以外的质心框架的双核子势。这些条款将有助于在系统与质量数A>2,和他们的影响EFT计算的结合能和散射可观的在这些系统中应进行研究。

英文摘要:

We construct the most general, relativistically invariant, contact Lagrangian at order Q^2 in the power counting, Q denoting the low momentum scale. A complete, but non-minimal, set of (contact) interaction terms is identified, which upon non-relativistic reduction generate 2 leading independent operator combinations of order Q^0 and 7 sub-leading ones of order Q^2 - a result derived previously in the heavy-baryon formulation of effective field theories (EFT's). We show that Poincare covariance of the theory requires that additional terms with fixed coefficients be included, in order to describe the two-nucleon potential in reference frames other than the center-of-mass frame. These terms will contribute in systems with mass number A>2, and their impact on EFT calculations of binding energies and scattering observables in these systems should be studied.

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