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A242978 Decimal expansion of Efimov's scaling constant. 0

%I #8 May 28 2014 15:03:19

%S 2,2,6,9,4,3,8,2,5,9,5,3,6,6,6,9,5,1,9,2,8,6,0,2,1,7,1,3,6,9,3,3,3,7,

%T 6,5,1,0,2,9,8,9,6,8,9,0,1,3,0,3,1,9,1,3,6,4,8,2,6,0,8,9,4,1,6,4,2,7,

%U 1,7,1,2,9,5,6,9,8,3,0,4,2,9,0,4,9,2,5

%N Decimal expansion of Efimov's scaling constant.

%C Usually reported as 22.7.

%H V. N. Efimov, <a href="http://www.uibk.ac.at/exphys/ultracold/projects/levt/efimov/SovJNucPhys12.589.efimov.pdf">Weakly-bound states of three resonantly-interacting particles</a>, Soviet Journal of Nuclear Physics 12:5 (1971), pp. 589-595. [Yad. Fiz. 12 (1970), 1080].

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Efimov_state">Efimov state</a>

%t RealDigits[E^(Pi/x)/.FindRoot[x*Cosh[Pi*x/2] - 8*Sinh[Pi*x/6]/Sqrt[3], {x, 2}, WorkingPrecision->105]][[1]] (* _Vaclav Kotesovec_, May 28 2014 *)

%o (PARI) exp(Pi/solve(x=1,2,x*cosh(Pi*x/2)-8*sinh(Pi*x/6)/sqrt(3)))

%K nonn,cons

%O 2,1

%A _Charles R Greathouse IV_, May 28 2014

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)