All the particles in question are point-like, so the de Broglie wavelength doesn’t afffct their size. Nor does it mean that they can interfere with each other. So the answer to the question is that no significance can be assigned to this fact, because the de Broglie wavelength of these particles isn’t the property that’s relevant for detecting them.

Stam Nicolis ,

that is the model that so far has been proposed!!! There is no way according to which it can be demonstrated that particles are pointlike..

Of course it can, they’re not point-like if and only if they’re composite, bound states of other particles.

“…..From WIMP to axionic dark matter, their wave function has similar contribution on building the ocean of waves in the universe. Axions being pretty smaller than WIMP, ~10-6 μeV/c2 in mass, they have de Broglie wavelength very larger. Overlapping of one wave into another creates the complex phenomena which shapes the large structure of universe and distribution of matters into it…..”

- besides that the proposed in rather numerous mainstream physics publications so called “axions” are too questionable to be real at all, since if they would exist, they would be created at some particles interactions, and so have some energies/c2, which really would be well more the axions’ masses, ~ μeV/c2.

Correspondingly the axions, if exist, all really would have energies well more μeV, and so move with well more than o Lorentz factors, as that, say, happens at neutrinos creations; and, since yet on a few dozen light years radiuses surfaces in typical galaxies the escape velocity is V~ 1000 km/s, i.e. Lorentz factor is 1,0000055, axions by no means could form the observed galaxies haloes [on haloes borders V~ few km/s] or any other limited in space systems in space at all.

So this indeed well popular idea in rather numerous mainstream publications really exists since the authors are problems with physics;

- while so dark matter particles must have large masses; and, as that is quite rationally scientifically proposed in the Shevchenko-Tokarevsky’s initial cosmological model, see

https://www.researchgate.net/publication/355361749_The_informational_physical_model_and_fundamental_problems_in_physics, section “Cosmology”, the dark matter particles are Planck mass particles, which were the primary particles that were created at Matter’s Beginning, and, while ~10-20% of these particles at interactions produced the observable matter – and so there wasn’t antimatter yet at Beginning, the rest of primary particles compose gravitationally observed dark matter now.

Cheers

Let’s continue, though firstly note, that all really fundamental phenomena/notions, first of all in this case “Matter”, “Consciousness”, “Space”, “Time”, “Energy”, “Information”, and so everything in Matter – particles, fields, fundamental Nature forces, etc., are fundamentally completely transcendent/uncertain/irrational in mainstream philosophy and sciences, including in mainstream physics,

- while all these phenomena/notions can be, and are, rigorously scientifically defined only in framework of the Shevchenko-Tokarevsky 2007 “The Information as Absolute” conception, recent version of the basic paper see

https://www.researchgate.net/publication/363645560_The_Information_as_Absolute_-_2022_ed

- where it is rigorously proven that there exist nothing besides some informational patterns/systems of the patterns, which are elements in the absolutely fundamental and absolutely infinite “Information” Set, including Matter absolutely for sure is some informational system;

- and more concretely in physics in the SS&VT informational physical model, which is based on the conception, two main papers are

https://www.researchgate.net/publication/354418793_The_Informational_Conception_and_the_Base_of_Physics,

and

https://www.researchgate.net/publication/355361749_The_informational_physical_model_and_fundamental_problems_in_physics .

In the conception the outstanding fundamental von Weizsäcker and Fredkin-Toffoli hypotheses that Matter in ultimate base is based on binary reversible logics, which were some transcendent assumptions, become be completely legitimate and rational, so the SS&VT model is based on this proposition,

- correspondingly in the model the ultimate base of Matter is the Matter’s aether – primary elementary logical structures – (at least) [5]4D binary reversible fundamental logical elements [FLE], which compose the corresponding (at least) [5]4D dense lattice, which is placed in the corresponding Matter’s fundamentally absolute, fundamentally flat, and fundamentally “Cartesian”, (at least) [5]4D spacetime with metrics (at least) (cτ,X,Y,Z,ct),

- while everything in Matter is/are some specific disturbances in the lattice, which, including disturbances “particles”, always constantly move in the lattice with 4D velocities that have identical absolute values be equal the speed of light, c, since this speed is determined by the FLE’s universal parameters – “FLE size”, and “FLE flip time” which are equal to the Planck length and Planck time, c= Planck length /Planck time.

Particles are some cyclic close-loop algorithms which constantly run as sequential the lattice’s “FLE by FLE” flipping, when so the “FLE flip point” moves along some 4D “helix”, at that:

- if a having rest mass particle is at rest in the absolute 3D space, and so moves with speed of light only along the cτ-axis, its helix has radius λ=ћ/mc, i.e. is the Compton length of the particle, the particle has 4D momentum P0=m0c[“bold” means 4D vector] and energy E=Pc=m0c2, m0 is the rest mass. If the particle is impacted by a 3D space directed momentum p, 4D momentum P=P0+p=γm0c,

- at that the initial 4D helix becomes be some composition of two helixes – initial one and that has radius λB=ћ/p, which is observed as a de Brogile wave that has the length be equal λB.

Correspondingly that

“….All the particles in question are point-like,….”

- really isn’t completely correct, particles only interact as “points” that have “sizes” ~ Planck length, however this “particle-point”, at least at interactions, randomly can be in any point in 4D [and 3D] space quite non-point-like volume that has size ~λB, if the particle’s speed is well lesser than c,

– what is observed in QM as the “wave-particle duality”.

SS posts in

https://www.researchgate.net/post/No9_Is_the_spin_of_an_electron_really_spin/3

https://www.researchgate.net/post/H_denotes_the_constant_ratio_E_f_Ehf_is_it_possible_that_h_has_an_equation_both_without_E_and_f/1

- are relevant to this thread question.

Cheers