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Nuclear Theory

arXiv:1606.00592 (nucl-th)
[Submitted on 2 Jun 2016 (v1), last revised 18 May 2017 (this version, v2)]

Title:Precise Determination of Charge Dependent Pion-Nucleon-Nucleon Coupling Constants

Authors:R. Navarro Perez, J.E. Amaro, E. Ruiz Arriola
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Abstract:We undertake a covariance error analysis of the pion-nucleon-nucleon coupling constants from the Granada-2013 np and pp database comprising a total of 6720 scattering data below LAB energy of 350 MeV. Assuming a unique pion-nucleon coupling constant in the One Pion Exchange potential above a boundary radius $r_c=3 {\rm fm}$ we obtain $f^2=0.0763(1)$. The effects of charge symmetry breaking on the $^3P_0$, $^3P_1$ and $^3P_2$ partial waves are analyzed and we find $f_{p}^2 = 0.0761(4)$, $f_{0}^2 = 0.0790(9)$ and $f_{c}^2 = 0.0772(6)$ with a strong anti-correlation between $f_c^2$ and $f_0^2$. We successfully test normality for the residuals of the fit. Potential tails in terms of different boundary radii as well as chiral Two-Pion-Exchange contributions as sources of systematic uncertainty are also investigated.
Comments: 14 pages, 6 figures, 13 tables. Discussion on naturalness, Analysis of systematic errors, Inclusion of Two Pion Exchange and Tables with phases-shifts added
Subjects: Nuclear Theory (nucl-th); High Energy Physics - Phenomenology (hep-ph); Nuclear Experiment (nucl-ex)
Cite as: arXiv:1606.00592 [nucl-th]
  (or arXiv:1606.00592v2 [nucl-th] for this version)
  https://doi.org/10.48550/arXiv.1606.00592
Journal reference: Phys. Rev. C 95, 064001 (2017)
Related DOI: https://doi.org/10.1103/PhysRevC.95.064001

Submission history

From: Enrique Ruiz Arriola [view email]
[v1] Thu, 2 Jun 2016 09:03:03 UTC (593 KB)
[v2] Thu, 18 May 2017 16:10:15 UTC (982 KB)
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