Abstract
The propagation velocity of scintillation light in liquid argon vg at λ ∼ 128 nm wavelength, has been measured for the first time in a dedicated experimental setup at CERN. The obtained result 1/vg = 7.46 ± 0.08 ns/m, is then used to derive the value of the refractive index (n) and the Rayleigh scattering length (L) for liquid argon in the VUV region. For λ = 128 nm we found n= 1.358 ± 0.003 and L= 99.1 ± 2.3 cm. The measured values are of interest for a variety of experiments searching for rare events like neutrino and dark matter interactions. The derived quantities also represent key information for theoretical models describing the propagation of scintillation light in liquid argon.
Highlights
This work renders tribute, in memory, to Professor Waldyr Alves Rodrigues Jr., who has inspired generations of physicists in Brazil, mainly working in mathematical physics with Clifford algebras [41]
This analysis of symmetry provides a meaning for symplectic wave functions, which are associated with the Wigner function
These results provide a physical interpretation for both representations, since the symplectic wave functions are associated to each other, and in turn are related to the Wigner function
Summary
This work renders tribute, in memory, to Professor Waldyr Alves Rodrigues Jr., who has inspired generations of physicists in Brazil, mainly working in mathematical physics with Clifford algebras [41]. Following his footprints, we study representations of the Poincare Lie algebra taking, as a representation space, a Hilbert space defined from a symplectic manifold. By emphasizing Clifford algebras and spinor structures, we study symmetry representations of relativistic fields (in particular gauge fields) This analysis of symmetry provides a meaning for symplectic (phase-space) wave functions, which are associated with the Wigner function. This is given by a mapping ΩW : A → aW (q, p) such that the associative algebra of operators defined in H turns out to be an associative algebra in Γ, given by ΩW : AB → aW bW , where the star (or Moyal)-product is defined by
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