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1. Radiative energy and mass shifts of quantum cyclotron states

   https://doi.org/10.1140/epjd/s10053-025-00982-3  

   Jentschura, U_D (April 2025, The European Physical Journal D)

   AbstractWe discuss relativistic and radiative corrections to the energies of quantum cyclotron states. In particular, it is shown analytically that the leading logarithmic radiative (self-energy) correction to the bound-state energy levels of quantum cyclotron states is state independent and must be interpreted as a magnetic field-dependent correction to the electron’s mass in a Penning trap. Graphical abstract 

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2. Apparatus-dependent corrections to the electron $g-2$ revisited

   https://doi.org/10.1103/PhysRevD.107.076014  

   Jentschura, Ulrich D (April 2023, Physical Review D)

   We revisit the derivation of the apparatus-dependent correction to the energy levels of quantum cyclotron states, as previously outlined [Boulware et al., Phys. Rev. D 32, 729 (1985)]. We evaluate the leading corrections to the axial, magnetron, cyclotron, and spin-projection-dependent energy levels due to the altered photon field quantization in the vicinity of a conducting wall. Our work significantly extends previous considerations. Quantum cyclotron states are used for the determination of the electron g factor in Penning traps. Our calculations show that the numerically largest apparatus-dependent corrections can be expected for the axial and magnetron frequencies, where they can be as large as 10−8 in relative units. For the cyclotron frequency, one can expect corrections on the order of 10−12 , which can affect the determination of the anomalous magnetic moment of the electron. 

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3. How Inflationary Gravitons Affect the Force of Gravity

   https://doi.org/10.3390/universe8070376  

   Tan, Lintao; Tsamis, Nikolaos Christos; Woodard, Richard Paul (July 2022, Universe)

   We employ an unregulated computation of the graviton self-energy from gravitons on the de Sitter background to infer the renormalized result. This is used to quantum-correct the linearized Einstein equation. We solve this equation for the potentials that represent the gravitational response to a static, point mass. We find large spatial and temporal logarithmic corrections to the Newtonian potential and to the gravitational shift. Although suppressed by a minuscule loop-counting parameter, these corrections cause perturbation theory to break down at large distances and late times. Another interesting fact is that gravitons induce up to three large logarithms, whereas a loop of massless, minimally coupled scalars produces only a single large logarithm. This is in line with corrections to the graviton mode function: a loop of gravitons induces two large logarithms, whereas a scalar loop gives none. 

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4. Penning-Trap Mass Measurements in Atomic and Nuclear Physics

   https://doi.org/10.1146/annurev-nucl-102711-094939  

   Dilling, Jens; Blaum, Klaus; Brodeur, Maxime; Eliseev, Sergey (October 2018, Annual Review of Nuclear and Particle Science)

   Penning-trap mass spectrometry in atomic and nuclear physics has become a well-established and reliable tool for the determination of atomic masses. In combination with short-lived radioactive nuclides it was first introduced at ISOLTRAP at the Isotope Mass Separator On-Line facility (ISOLDE) at CERN. Penning traps have found new applications in coupling to other production mechanisms, such as in-flight production and separation systems. The applications in atomic and nuclear physics range from nuclear structure studies and related precision tests of theoretical approaches to description of the strong interaction to tests of the electroweak Standard Model, quantum electrodynamics and neutrino physics, and applications in nuclear astrophysics. The success of Penning-trap mass spectrometry is due to its precision and accuracy, even for low ion intensities (i.e., low production yields), as well as its very fast measurement cycle, enabling access to short-lived isotopes. The current reach in relative mass precision goes beyond δ m/ m=10 −8 , the half-life limit is as low as a few milliseconds, and the sensitivity is on the order of one ion per minute in the trap. We provide a comprehensive overview of the techniques and applications of Penning-trap mass spectrometry in nuclear and atomic physics. 

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5. Highly excited electron cyclotron for QCD axion and dark-photon detection

   https://doi.org/10.1103/PhysRevD.111.075022  

   Fan, Xing; Gabrielse, Gerald; Graham, Peter W; Ramani, Harikrishnan; Wong, Samuel_S Y; Xiao, Yawen (April 2025, Physical Review D)

   We propose using highly excited cyclotron states of a trapped electron to detect meV axion and dark-photon dark matter, marking a significant improvement over our previous proposal and demonstration [One-electron quantum cyclotron as a milli-ev dark-photon detector, .]. When the axion mass matches the cyclotron frequency ${\omega }_c$, the cyclotron state is resonantly excited, with a transition probability proportional to its initial quantum number, $n_c$. The sensitivity is enhanced by taking $n_c\sim {10}^6{\left(\frac{0.1\mathrm{meV}}{{\omega }_c}\right)}^2$. By optimizing key experimental parameters, we minimize the required averaging time for cyclotron detection to $t_{\mathrm{ave}}\sim {10}^{-6}$s, permitting detection of such a highly excited state before its decay. An open–end-cap trap design enables the external photon signal to be directed into the trap, rendering our background-free detector compatible with large focusing cavities, such as the BREAD proposal, while capitalizing on their strong magnetic fields. Furthermore, the axion conversion rate can be coherently enhanced by incorporating layers of dielectrics with alternating refractive indices within the cavity. Collectively, these optimizations enable us to probe the QCD axion parameter space from 0.1 to 2.3 meV (25–560 GHz), covering a substantial portion of the predicted postinflationary QCD axion mass range. This sensitivity corresponds to probing the kinetic mixing parameter of the dark photon down to $\epsilon \approx 2\times {10}^{-16}$. Published by the American Physical Society2025 

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