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PreprintarXiv licencearXiv

Glashow-Weinberg relation in isospin-asymmetric nuclear matter

Abstract

The conservation of the axial-vector currents in nuclear matter with finite isospin asymmetry ρn/ρp is explored in this paper. In explicit calculations in the in-medium chiral perturbation theory, a charged pion becomes massive in isospin-asymmetric nuclear matter. In the presence of the massive charged pion, two components of the axial-vector current are not conserved from the two-loop order when applying the massive in-medium pion state. As a result, the in-medium Glashow-Weinberg relation for the charged pions cannot be derived in isospin-asymmetric nuclear matter from operator relations in quantum chromodynamics.

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BibTeX
@misc{kwon2026glashowweinberg,
  title = {{Glashow-Weinberg relation in isospin-asymmetric nuclear matter}},
  author = {Kihong Kwon and Daisuke Jido and Yamato Suda},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.39588},
  eprint = {2610.39588},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.39588},
}
RIS
TY  - UNPB
TI  - Glashow-Weinberg relation in isospin-asymmetric nuclear matter
AU  - Kihong Kwon
AU  - Daisuke Jido
AU  - Yamato Suda
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.39588
UR  - https://arxiv.org/abs/2610.39588
AB  - The conservation of the axial-vector currents in nuclear matter with finite isospin asymmetry ρ_n/ρ_p is explored in this paper. In explicit calculations in the in-medium chiral perturbation theory, a charged pion becomes massive in isospin-asymmetric nuclear matter. In the presence of the massive charged pion, two components of the axial-vector current are not conserved from the two-loop order when applying the massive in-medium pion state. As a result, the in-medium Glashow-Weinberg relation for the charged pions cannot be derived in isospin-asymmetric nuclear matter from operator relations in quantum chromodynamics.
ER  -