Publication: Effective-one-body Hamiltonian with next-to-leading order spin-spin coupling
Effective-one-body Hamiltonian with next-to-leading order spin-spin coupling
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Balmelli, S., & Jetzer, P. (2015). Effective-one-body Hamiltonian with next-to-leading order spin-spin coupling. Physical Review. D, Particles, Fields, Gravitation and Cosmology, 91, 064011. https://doi.org/10.1103/PhysRevD.91.064011
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We propose a way of including the next-to-leading (NLO) order spin-spin coupling in an effective-one-body (EOB) Hamiltonian. This work extends by S. Balmelli and P. Jetzer, [Phys. Rev. D 87, 124036 (2013)], which is restricted to the case of equatorial orbits and aligned spins, to general orbits with arbitrary spin orientations. This is done by applying appropriate canonical phase-space transformations to the NLO spin-spin Hamiltonian in Arnowitt-Deser-Misner (ADM) coordinates, and systematically adding effective quantities at NLO to
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Balmelli, S., & Jetzer, P. (2015). Effective-one-body Hamiltonian with next-to-leading order spin-spin coupling. Physical Review. D, Particles, Fields, Gravitation and Cosmology, 91, 064011. https://doi.org/10.1103/PhysRevD.91.064011