Pade approximants and resonance poles

被引:34
作者
Masjuan, Pere [1 ]
Jose Sanz-Cillero, Juan [2 ,3 ]
机构
[1] Johannes Gutenberg Univ Mainz, Inst Kernphys, D-55099 Mainz, Germany
[2] IFT UAM CSIC Univ Autonoma Madrid, Dept Fis Teor, Madrid, Spain
[3] IFT UAM CSIC Univ Autonoma Madrid, Inst Fis Teor, Madrid, Spain
来源
EUROPEAN PHYSICAL JOURNAL C | 2013年 / 73卷 / 10期
关键词
LARGE-N-C; MESON RESONANCES; PHYSICS; WIDTH;
D O I
10.1140/epjc/s10052-013-2594-4
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
Based on the mathematically well defined Pade theory, a theoretically safe new procedure for the extraction of the pole mass and width of a resonance is proposed. In particular, thanks to the Montessus de Ballore theorem we are able to unfold the second Riemann sheet of an amplitude to search for the position of the resonance pole in the complex plane. The method is systematic and provides a model-independent treatment of the prediction and the corresponding errors of the approximation. Likewise, it can be used in combination with other well-established approaches to improve future determinations of resonance parameters.
引用
收藏
页码:1 / 14
页数:14
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