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"rationale": "it preserves the existing free-wave turning points, handbook benchmarks and their turning-point companions. The s, p, d and f waves at $\\rho=1$ add $\\eta=0,\\pm1$, with the positive outer turning points also included for $\\ell=1,2,3$ at $\\eta=\\pm1$. The s-wave references add $\\rho=1/2,2,3,5,8$ at $\\eta=0,\\pm1$ and $\\rho=1$ at $\\eta=\\pm1/2,\\pm2$; the p wave also uses $\\rho=2$ at $\\eta=\\pm1$. Zero coupling is the free-wave degeneration. The signed half, unit and double couplings are bounded exploratory references in the DLMF normalization, not fixed physical constants. The sparse radii and low partial-wave cutoff are practical choices, and a turning point is intrinsic only conditional on its chosen coupling",
"sources": [
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"https://dlmf.nist.gov/33.5",
"https://dlmf.nist.gov/33.22"
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