Strong 𝐶⁢𝑃 violation and large-𝑁𝑐 spin-flavor symmetry

Richardson, Thomas R.

doi:10.1103/1jb4-tqpn

Strong 𝐶⁢𝑃 violation and large-𝑁_𝑐 spin-flavor symmetry

Journal Article · Tue Nov 25 00:00:00 EST 2025 · Physical Review. D.

DOI:https://doi.org/10.1103/1jb4-tqpn· OSTI ID:3013349

^[1]

University of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

We revisit the contribution of the QCD $$\bar{𝜃}$$ term to the 𝐶⁢𝑃-violating pion-nucleon couplings and the nucleon electric dipole moment in a combined large-𝑁_𝑐 and chiral perturbation theory framework. In particular, we approach this issue through the emergent spin-flavor symmetry of the baryon sector at large but finite 𝑁_𝑐. We obtain good agreement with previous analyses for the pion-nucleon couplings and show that the large-𝑁_𝑐 framework indicates that tree-level contributions to the electric dipole moment possibly play a dominant role. The spin-flavor symmetry also enables us to provide novel constraints on 𝐶⁢𝑃-violating pion-Δ couplings, as well as the Δ electric dipole moment and Δ⁢𝑁 transition moment.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-05CH11231; SC0023663

OSTI ID:: 3013349

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 9 Vol. 112; ISSN 2470-0010; ISSN 2470-0029

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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