Speaker
Description
I discuss progress on the application of the clothed-particle representation of
quantum field theory, originally due to Greenberg and Schewber [1] and devel-
oped by O. Shebeko and collaborators [2][3][4], to compute relativistic electron
and neutrino scattering observables off of light nuclei. In this application a
canonical transformation is applied to the Poincaré generators and strong cur-
rents of a local quantum field theory with meson-exchange interactions to con-
struct a new representation of the theory, where the transformed vacuum and
one-particle states are exact eigenstates of the transformed Hamiltonian. The
canonical transformation eliminates all meson-nucleon vertices. The simplest
interaction in the clothed particle representation is a non-local two-body inter-
action. The interaction depends on the original renormalized parameters of the
field theory, which are adjusted to give a realistic description of the two-nucleon
system. The same canonical transformation gives a new representation of the
Poincaré Lie algebra and consistent few-body currents which are used in the
one photon (W,Z) exchange approximation. Preliminary results are presented.
This research supported by NSF IMPRESS-U Award ID 2427848∗ , the Na-
tional Science Centre, Poland, under Grant No. IMPRESS-U 2024/06/Y/ST2/00135∗∗
and in part by the Excellence Initiative– Research University Program at the
Jagiellonian University in Kraków, the National Academy of Sciences (USA)
and the Office of Naval Research Global (USA) in assistance of the Science and
Technology Center in Ukraine (Grant No. 7134) ∗∗∗ , and the Japanese Society
for the Promotion of Science (JSPS) under Grant No. JP25K07301 ∗∗∗∗ The nu-
merical calculations were partly performed on the supercomputers of the Jülich
Supercomputing Center (JSC), Jülich, Germany.∗∗ .
[1] O. W. Greenberg and S. S. Schweber, Il Nuovo Cimento, VIII (1958) 378-406.
[2]A. V. Shebeko and M. I. Shirokov, Progress in Particle and Nuclear Physics
Volume 44, March 2000, Pages 75-86.
[3] Kostylenko, Y., Shebeko, O., Few-Body Syst 65, 55 (2024).
[4] Dubovyk, I., Shebeko, O., Few-Body Syst 48, 109–142 (2010).
[5] Kamada, H., Shebeko, O., Arslanaliev, A., Few-Body Syst 58, 70 (2017).