Figure 1

Differential cross sections for ${\pi }^{+}p$ elastic scattering at 26 MeV: (a) unnormalized and (b) normalized data. The Karlsruhe KA84 prediction [2] is plotted as a dot-dashed line. Data are taken from Ref. [15].Reuse & Permissions

Figure 2

Spin-rotation parameter $A$ for ${\pi }^{+}p$. The original KA84 solution [2] (dot-dashed line) is compared to a Barrelet-transformed solution [22] (dotted line) and our SP06 solution (solid line). Data are taken from Ref. [21].Reuse & Permissions

Figure 3

Comparison of the SES and global SP06 fits via $\delta {\chi }^2=[{\chi }^2(\mathrm{SP}06)-{\chi }^2(\mathrm{SES})]$/data presented in Table .Reuse & Permissions

Figure 4

Isospin $1/2$ partial-wave amplitudes $J<3$ (L${}_{2I,2J}$) from $T_{\pi }=0$ to 2.6 GeV. Solid (dashed) curves give the real (imaginary) parts of amplitudes corresponding to the SP06 solution. The real (imaginary) parts of single-energy solutions are plotted as filled (open) circles. The dotted curve gives the unitarity limit (Im$T-T^{*}T$) from SP06. The Karlsruhe KA84 solution [2] is plotted with long dash-dotted (real part) and short dash-dotted (imaginary part) lines. All amplitudes are dimensionless. Vertical arrows indicate resonance $W_R$ values and horizontal bars show full Γ and partial widths for ${\Gamma }_{\pi N}$. The lower BW resonance symbols are associated with the SP06 values of Table ; upper symbols give RPP [1] values.Reuse & Permissions

Figure 5

Isospin $1/2$ partial-wave amplitudes $J>3$ (L${}_{2I,2J}$) from $T_{\pi }=0$ to 2.6 GeV. Notation as in Fig. 4.Reuse & Permissions

Figure 6

Isospin $3/2$ partial-wave amplitudes $J<3$ ($L_{2I,2J}$) from $T_{\pi }=0$ to 2.6 GeV. The lower BW resonances are associated with the SP06 values of Table ; upper symbols give RPP [1] values. Notation as in Fig. 4.Reuse & Permissions

Figure 7

Isospin $3/2$ partial-wave amplitudes $J>3$ ($L_{2I,2J}$) from $T_{\pi }=0$ to 2.6 GeV. Notation as in Fig. 6.Reuse & Permissions

Figure 8

Comparison of isospin $1/2$ and $3/2$ partial-wave amplitudes (L${}_{2I,2J}$) from $T_{\pi }=0$ to 2.6 GeV. Solid (dashed) curves give the real (imaginary) parts of the SP06 amplitudes. The FA02 solution (valid to 2.1 GeV) [4] is plotted with long dash-dotted (real part) and short dash-dotted (imaginary part) lines. All amplitudes are dimensionless.Reuse & Permissions

Figure 9

Comparison of complex plane (bottom panel) and Breit-Wigner (top panel) parameters for resonances found in the SP06 solution. Plotted are the result for (a) S- and P-wave resonances, (b) D- and F-wave resonances, and (c) G-, H, and I-wave resonances. Complex plane poles are shown as stars (with the boxed star denoting a second-sheet pole). $W_R$ and $W_I$ give real and imaginary parts of the center-of-mass energy. The full ($\pi N$ partial) widths are denoted by thin (thick) bars for each resonance. The branch point for $\pi \Delta (1232)$, 1350 - i50 MeV, is represented as a solid triangle. The branch points for $\eta N$, 1487 -i0 MeV, and $\rho N$, 1715 - i73 MeV, thresholds are shown as a solid diamond and solid square, respectively.Reuse & Permissions

Figure 10

Argand plots for partial-wave amplitudes from threshold (1080 MeV) to $W=2.5$ GeV. Crosses indicate 50-MeV steps in $W$. Solid circles correspond to BW $W_R$ determination presented in Tables and .Reuse & Permissions

Figure 11

Best-fit ${\chi }^2$ as a function of the coupling constant $g^2/4\pi$, where all other parameters were fixed to their optimal (best-fit) values. The solid curve gives the best fit of ${\chi }^2$ vs $g^2/4\pi$ assuming ${\chi }^2=a+(\frac{g^2/4\pi -b}{c}){}^2$, where $a,b$, and $c$ are free parameters.Reuse & Permissions