We show that two P11 nucleon resonance poles near the pi Delta threshold, obtained in several analyses, are stable against large variations of parameters within a dynamical coupled-channels analysis based on meson-exchange mechanisms. By also performing an analysis based on a model with a bare nucleon state, we find that this two-pole structure is insensitive to the analytic structure of the amplitude in the region below pi N threshold. Our results are M_pole = (1363^{+9}_{-6} -i79^{+3}_{-5}) MeV and (1373^{+12}_{-10} -i114^{+14}_{-9}) MeV. We also demonstrate that the number of poles in the 1.5 GeV < W < 2 GeV region could be more than one, depending on how the structure of the single-energy solution of SAID is fitted. For three-pole solutions, our best estimated result of a pole near N(1710) listed by Particle Data Group is (1829^{+131}_{-65} -i192^{+88}_{-110}) MeV which is close to the results of several previous analyses. Our results indicate the need of more accurate pi N reaction data in the W > 1.6 GeV region for high precision resonance extractions.
英文摘要:
We show that two P11 nucleon resonance poles near the pi Delta threshold, obtained in several analyses, are stable against large variations of parameters within a dynamical coupled-channels analysis based on meson-exchange mechanisms. By also performing an analysis based on a model with a bare nucleon state, we find that this two-pole structure is insensitive to the analytic structure of the amplitude in the region below pi N threshold. Our results are M_pole = (1363^{+9}_{-6} -i79^{+3}_{-5}) MeV and (1373^{+12}_{-10} -i114^{+14}_{-9}) MeV. We also demonstrate that the number of poles in the 1.5 GeV < W < 2 GeV region could be more than one, depending on how the structure of the single-energy solution of SAID is fitted. For three-pole solutions, our best estimated result of a pole near N(1710) listed by Particle Data Group is (1829^{+131}_{-65} -i192^{+88}_{-110}) MeV which is close to the results of several previous analyses. Our results indicate the need of more accurate pi N reaction data in the W > 1.6 GeV region for high precision resonance extractions.
Extraction of Meson Resonances from Three-pions Photo-production Reactions
我们研究了从核子上的三π介子光生反应的Dalitz图分析中提取的介子共振性质的模型依赖性。在Phys. Rev. D 84,114019(2011)中开发的酉模型中,我们生成Dalitz图分布作为数据来执行同量异位素模型拟合,这与之前对三π介子产生反应的大多数分析相似。结果表明,两种模型的共振位置吻合较好,但在分叉点附近存在共振极点。从这两个模型中提取的共振振幅的残差和通常的Breit-Wigner程序只对窄宽度的孤立共振一致。对于重叠共振,大多数提取的残留物可能完全不同。我们的研究结果表明,即使有高精度的数据,共振提取应该是基于模型的振幅参数化的三粒子么正性条件的约束。
Neuro-dispersive extractions of light-meson resonances
Lawrence Berkeley National Laboratory(劳伦斯伯克利国家实验室);University of California, Berkeley(加州大学伯克利分校);The College of William & Mary(威廉与玛丽学院);Università degli Studi di Messina(墨西拿大学);Thomas Jefferson National Accelerator Facility(托马斯·杰斐逊国家加速器设施);Old Dominion University(老道明大学);Universidad Nacional de Educación a Distancia (UNED)(西班牙国立远程教育大学);INFN Sezione di Catania(意大利国家核物理研究所卡塔尼亚分部)
Self-consistent spectral framework for inclusive nonelastic breakup: The Trojan-horse method as its sub-Coulomb resonant limit
School of Physics Science and Engineering, Tongji University(同济大学物理科学与工程学院);Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences(中国科学院近代物理研究所南方核科学理论中心)
Hunting resonance poles with Rational Approximants
基于数学上定义良好的Padé理论,提出了一种理论上安全的提取极点质量和共振宽度的新方法。特别地,由于Montessus de Ballore定理,我们能够展开振幅的第二黎曼单,以搜索复平面中谐振极点的位置。该方法是系统的,并提供了一个独立于模型的处理的预测和相应的近似误差。这封信部分涵盖了作者在2010年6月28日至7月3日在法国蒙彼利埃举行的第15届国际量子色动力学会议:QCD 10(25周年纪念)和2010年8月30日至9月3日在西班牙马德里举行的夸克禁闭和强子谱IX上提交的材料。
On the phase-shift parameterization and ANC extraction from elastic-scattering data
基于有效射程函数的Padé展开式,提出了一种计算带电原子核弹性散射相移的参数化方法。该方法是潜在的独立和输入减少到实验相移和束缚态能量。它允许一个简单的计算共振特性和渐近归一化常数(ANC)的亚阈值束缚态。我们分析了$^{12}$ C $+α$体系的$1^-$和$2^+$相移,并提取了相应束缚态的ANC.对于$1^-$状态,相对于目前可用的最佳值,获得了3倍的改进,在可达性方面获得了10倍的改进。对于$2^+$状态,由于实验相移上相对较大的误差条,没有获得改善。