Scaling relations for triton ground-state observables

Universality in the triton charge form factor

“…[19], Friar, Gibson, Chen, and Payne observed a correlation between the triton charge radius and binding energy. They explained this correlation as resulting from the primary sensitivity of radii to the outer parts of the wave function which are determined by the triton binding energy.…”

“…The correlation curve from Ref. [19] is reproduced by the phenomenological expression [36,37] while the two triangles show modern calculations using AV18 with and without the Urbana IX three-body force [38]. The correlation curve of Ref.…”

“…If the asymptotic form of the wave function is used for all hyperradii ρ, one obtains b = 1/2 [19]. The correlation curve from Ref.…”

“…However, the universal properties resulting from the large scattering length are not restricted to purely hadronic observables. For example, a correlation between the triton binding energy and charge radius was observed by Friar, Gibson, Chen, and Payne [19].…”

Hypernuclear physics, a brief past and bright future

“…It has now"been reasonably established [1,2] that the low energy observable "scale" with the trinucleon binding energy. A summary of results for charge radii, wave function probabilities, magnetic moments, Coulomb energy, asymptotic normalization constants, and Nd scattering lengths can be found in Ref.…”