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- W4310161307 abstract "We consider a system of $N$ nonrelativistic particles which form a near-threshold resonance. Assuming no subset of these particles can form a bound state, the resonance can only decay through an explosion into $N$ particles. We show that the decay width of the resonance scales as $E^{Delta-5/2}$ in the limit when the energy $E$ of the resonance goes to zero, where $Delta$ is the ground state energy of a system of $N$ particles in a spherical harmonic trap with unit frequency. The formula remains valid when some pairs of final particles have zero-energy $s$-wave resonance, but the Efimov effect is not present. In the limit of large $N$, we show that the final particles follow a Maxwell-Boltzmann distribution if they are bosons, and a semicircle-like law if they are fermions. We argue that metastable $^3$He droplets exist with the lifetime varying over many orders of magnitudes ranging from a fraction of a nanosecond to values greatly exceeding the age of the Universe." @default.
- W4310161307 created "2022-11-30" @default.
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- W4310161307 date "2022-11-28" @default.
- W4310161307 modified "2023-09-24" @default.
- W4310161307 title "Fate of multiparticle resonances: From <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>Q</mml:mi></mml:math> -balls to <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mmultiscripts><mml:mi>He</mml:mi><mml:mprescripts /><mml:none /><mml:mn>3</mml:mn></mml:mmultiscripts></mml:math> droplets" @default.
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- W4310161307 doi "https://doi.org/10.1103/physreva.106.l050801" @default.
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