I'll have a stab at this one, despite the fact I've forgotten almost the totality of engineering thermodynamics, as I do recall seeing these papers before.

One of the references¹ in the Wikipedia article describes the production of slush hydrogen through the auger technique, contrasting it with the freeze-thaw method. Specifically, the auger method can be performed above the triple point pressure of hydrogen, whereas the freeze-thaw method uses the latent heat of vaporisation to freeze some of the hydrogen. In this technique the vaporisation of some of the hydrogen (prompted by the application of a vacuum) at the triple point causes some of the liquid hydrogen to freeze, generating a crust of solid hydrogen which is then broken up to make slush.

As far as I can tell, the triple point conditions are only required to make the freeze-thaw process go, and are not required for storage.

The auger technique, also described in the report¹, seems to work on the basis of shaving solid hydrogen which is refrigerated with liquid helium. Voth compares the technique to a conventional ice shaver (albeit much, much colder!). In this instance there's no requirement for triple point conditions, which is given as one of the advantages of the technique.

Finally, Haberbusch and McNelis² give us this sad quote, in reference to a 1991 paper:

"According to Hans, projected annual demand for slush hydrogen in the year 2010 is 584 million pounds to support a fleet of 20 spaceplanes"

One day, maybe...

(1) Voth, R.O.; Producing Liquid-Solid Mixtures of Hydrogen in an Auger; National Bureau of Standards Department of Commerce; 1978, pp. 1-16

(2) Haberbusch, M.S. and McNelis, N.B.; Comparison of the Continuous Freeze Slush Hydrogen Production Technique to the Freeze-Thaw Technique; NASA Technical Memorandum 107324, 1996, p. 1

I'll have a stab at this one, despite the fact I've forgotten almost the totality of engineering thermodynamics, as I do recall seeing these papers before.

One of the references¹ in the Wikipedia article describes the production of slush hydrogen through the auger technique, contrasting it with the freeze-thaw method. Specifically, the auger method can be performed above the triple point pressure of hydrogen, whereas the freeze-thaw method uses the latent heat of vaporisation to freeze some of the hydrogen. In this technique the vaporisation of some of the hydrogen (prompted by the application of a vacuum) at the triple point causes some of the liquid hydrogen to freeze, generating a crust of solid hydrogen which is then broken up to make slush.

As far as I can tell, the triple point conditions are only required to make the freeze-thaw process go, and are not required for storage.

The auger technique, also described in the report¹, seems to work on the basis of shaving solid hydrogen which is refrigerated with liquid helium. Voth compares the technique to a conventional ice shaver (albeit much, much colder!). In this instance there's no requirement for triple point conditions, which is given as one of the advantages of the technique.

Finally, Haberbusch and McNelis² give us this sad quote, in reference to a 1991 paper:

"According to Hans, projected annual demand for slush hydrogen in the year 2010 is 584 million pounds to support a fleet of 20 space-planes"

One day, maybe...

(1) Voth, R.O.; Producing Liquid-Solid Mixtures of Hydrogen in an Auger; National Bureau of Standards Department of Commerce; 1978, pp. 1-16

(2) Haberbusch, M.S. and McNelis, N.B.; Comparison of the Continuous Freeze Slush Hydrogen Production Technique to the Freeze-Thaw Technique; NASA Technical Memorandum 107324, 1996, p. 1