arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0906.5502nucl-thhep-ph
收藏

窄共振和短程相互作用

Narrow resonances and short-range interactions

Boris A. Gelman

摘要:

在有效场论(EFT)框架下讨论了短程相互作用系统中的窄共振。一个有效的拉格朗日量是以动量Q <<λ--一个短距离尺度--和能量差Δ λ =| E-B_0| ε_0-共振峰值能量。在联合展开式的首阶,两体散射振幅是一个Q^0阶的光滑背景项和一个Q^2(Δ λ)^{-1}阶的布赖特-维格纳项之和,当Δ λ <~ Q^3时,布赖特-维格纳项占主导地位。这种EFT适用于短距离动力学产生低准稳态的系统。EFT被推广到描述带电粒子系统中的一个窄的低共振。结果表明,在库仑排斥的情况下,两体散射振幅是库仑修正的背景项与Breit-Wigner振幅之和,其中的参数由库仑相互作用重整化.

英文摘要:

Narrow resonances in systems with short-range interactions are discussed in an effective field theory (EFT) framework. An effective Lagrangian is formulated in the form of a combined expansion in powers of a momentum Q << Lambda--a short-distance scale--and an energy difference delta epsilon = |E-epsilon_0| << epsilon_0--a resonance peak energy. At leading order in the combined expansion, a two-body scattering amplitude is the sum of a smooth background term of order Q^0 and a Breit-Wigner term of order Q^2 (delta epsilon)^{-1} which becomes dominant for delta epsilon <~ Q^3. Such an EFT is applicable to systems in which short-distance dynamics generates a low-lying quasistationary state. The EFT is generalized to describe a narrow low-lying resonance in a system of charged particles. It is shown that in the case of Coulomb repulsion, a two-body scattering amplitude at leading order in a combined expansion is the sum of a Coulomb-modified background term and a Breit-Wigner amplitude with parameters renormalized by Coulomb interactions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑