TY - JOUR

T1 - g-Factor Isotopic Shifts: Theoretical Limits on New Physics Search

AU - Акулов, Дмитрий

AU - Абдуллин, Ринат

AU - Чубуков, Дмитрий Валерьевич

AU - Глазов, Дмитрий

AU - Волотка, Андрей

PY - 2025/6/13

Y1 - 2025/6/13

N2 - The isotopic shift of the bound-electron g factor in highly charged ions (HCI) provides a sensitive probe for testing physics beyond the Standard Model, particularly through interactions mediated by a hypothetical scalar boson. In this study, we analyze the sensitivity of this method within the Higgs portal framework, focusing on the uncertainties introduced by quantum electrodynamics corrections, including finite nuclear size, nuclear recoil, and nuclear polarization effects. All calculations are performed for the ground-state (Formula presented.) configuration of hydrogen-like HCI, where theoretical predictions are most accurate. Using selected isotope pairs (e.g., (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.)), we demonstrate that the dominant source of uncertainty arises from finite nuclear size corrections, which currently limit the precision of new physics searches. Our results indicate that the sensitivity of this method decreases with increasing atomic number. These findings highlight the necessity of improved nuclear radius measurements and the development of alternative approaches, such as the special differences method, to enable virtually the detection of fifth-force interactions.

AB - The isotopic shift of the bound-electron g factor in highly charged ions (HCI) provides a sensitive probe for testing physics beyond the Standard Model, particularly through interactions mediated by a hypothetical scalar boson. In this study, we analyze the sensitivity of this method within the Higgs portal framework, focusing on the uncertainties introduced by quantum electrodynamics corrections, including finite nuclear size, nuclear recoil, and nuclear polarization effects. All calculations are performed for the ground-state (Formula presented.) configuration of hydrogen-like HCI, where theoretical predictions are most accurate. Using selected isotope pairs (e.g., (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.)), we demonstrate that the dominant source of uncertainty arises from finite nuclear size corrections, which currently limit the precision of new physics searches. Our results indicate that the sensitivity of this method decreases with increasing atomic number. These findings highlight the necessity of improved nuclear radius measurements and the development of alternative approaches, such as the special differences method, to enable virtually the detection of fifth-force interactions.

KW - Higgs portal model

KW - bound-electron g factor

KW - fifth-force search

KW - finite nuclear size corrections

KW - isotopic shift

KW - quantum electrodynamics

UR - https://www.mendeley.com/catalogue/662276de-44b2-383b-80c1-37d946d1c610/

U2 - 10.3390/atoms13060052

DO - 10.3390/atoms13060052

M3 - Article

VL - 13

JO - Atoms

JF - Atoms

SN - 2218-2004

IS - 6

M1 - 52

ER -