scholarly journals N3LO gravitational spin-orbit coupling at order G4

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Michèle Levi ◽  
Andrew J. McLeod ◽  
Matthew von Hippel
Keyword(s):  
Effective Field Theory ◽  
Dimensional Regularization ◽  
Effective Field ◽  
Compact Objects ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Transcendental Numbers ◽  
Integration Techniques ◽  
First Time

Abstract In this paper we derive for the first time the N3LO gravitational spin-orbit coupling at order G4 in the post-Newtonian (PN) approximation within the effective field theory (EFT) of gravitating spinning objects. This represents the first computation in a spinning sector involving three-loop integration. We provide a comprehensive account of the topologies in the worldline picture for the computation at order G4. Our computation makes use of the publicly-available EFTofPNG code, which is extended using loop-integration techniques from particle amplitudes. We provide the results for each of the Feynman diagrams in this sector. The three-loop graphs in the worldline picture give rise to new features in the spinning sector, including divergent terms and logarithms from dimensional regularization, as well as transcendental numbers, all of which survive in the final result of the topologies at this order. This result enters at the 4.5PN order for maximally-rotating compact objects, and together with previous work in this line, paves the way for the completion of this PN accuracy.

scholarly journals N3LO gravitational quadratic-in-spin interactions at G4

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Michèle Levi ◽  
Andrew J. McLeod ◽  
Matthew von Hippel
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Linear Order ◽  
Effective Field ◽  
Compact Objects ◽  
Spin Orbit ◽  
Spinning Particle ◽  
Transcendental Numbers ◽  
Spin Interactions ◽  
First Time

Abstract We compute the N3LO gravitational quadratic-in-spin interactions at G4 in the post-Newtonian (PN) expansion via the effective field theory (EFT) of gravitating spinning objects for the first time. This result contributes at the 5PN order for maximally-spinning compact objects, adding the spinning case to the static sector at this PN accuracy. This sector requires extending the EFT of a spinning particle beyond linear order in the curvature to include higher-order operators quadratic in the curvature that are relevant at this PN order. We make use of a diagrammatic expansion in the worldline picture, and rely on our recent upgrade of the EFTofPNG code, which we further extend to handle this sector. Similar to the spin-orbit sector, we find that the contributing three-loop graphs give rise to divergences, logarithms, and transcendental numbers. However, in this sector all of these features conspire to cancel out from the final result, which contains only finite rational terms.

Electronic Spectrum of the N80Se Molecule in the Region 2840–3200 Å

1971 ◽  
Vol 49 (15) ◽  
pp. 2033-2051 ◽  
Author(s):  
L. Harding ◽  
W. E. Jones ◽  
K. K. Yee ◽  
A. Jenouvrier ◽  
D. Daumont ◽  
...  
Keyword(s):  
Electronic Spectrum ◽  
Ground State ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Rotational Analysis ◽  
Coupling Constant ◽  
Molecular Constants ◽  
First Time

The vibrational and rotational analysis of 12 red degraded bands of N80Se, in the region 2800 to 3200 Å, is reported. These bands are attributed to two progressions, ν′ = 1 and ν′ = 2, of the subsystem C2Δ5/2–X2Π3/2 and to two progressions, ν′ = 0, of the system B2Σ–X2Π(a).Tables of molecular constants of the observed states are given. For the first time it has been possible to calculate the spin–orbit coupling constant, Aeff, of the ground state, X2Π(a).

scholarly journals Probing the coupling of a dipole-bound electron with a molecular core

2019 ◽  
Vol 10 (5) ◽  
pp. 1386-1391 ◽  
Author(s):  
Joseph Czekner ◽  
Ling Fung Cheung ◽  
G. Stephen Kocheril ◽  
Lai-Sheng Wang
Keyword(s):  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Molecular Core ◽  
First Time ◽  
Bound Electron

The spin–orbit coupling of a dipole-bound electron with the neutral core has been studied for the first time.

scholarly journals Classical Spin-Orbit Coupling and Periastron Advance in PSR J0045–7319

1996 ◽  
Vol 160 ◽  
pp. 531-532
Author(s):  
Victoria M. Kaspi
Keyword(s):  
Direct Evidence ◽  
Supernova Explosion ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Classical Spin ◽  
Binary Pulsar ◽  
Angular Momenta ◽  
Orbital Decay ◽  
First Time

AbstractRadio timing observations of the SMC binary pulsar PSR J0045–7319 show, for the first time in a binary pulsar, that classical spin-orbit coupling and periastron advance are occurring. From the observations, the angle θ between the B star spin axis and the orbital angular momentum is constrained to be 25° < θ < 41° (Kaspi et al. 1996b). Under the conventional assumption that the pre-supernova angular momenta were aligned, this provides direct evidence for an asymmetric supernova explosion. In addition, a large, unexpected orbital decay is observed in the system.

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