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Measuring the Hamiltonian of dipolar coupled spin systems is usually a difficult task due to the high complexity of their spectra. Currently, molecules with unknown geometrical structure and low symmetry are extremely tedious or impossible…

Quantum Physics · Physics 2013-12-10 Denis-Alexandre Trottier , Virginia Jauregui-Villanueva , Jingfu Zhang

Molecular hydrogen ions are of metrological relevance due to the possibility of precise theoretical evaluation of their spectrum and of external-field-induced shifts. In homonuclear molecular ions the electric dipole $E1$ transitions are…

Atomic Physics · Physics 2021-01-20 P. Danev , D. Bakalov , V. I. Korobov , S. Schiller

We present a general, numerically motivated approach to the construction of symmetry adapted basis functions for solving ro-vibrational Schr\"{o}dinger equations. The approach is based on the property of the Hamiltonian operator to commute…

Atomic and Molecular Clusters · Physics 2017-08-25 Sergei N. Yurchenko , Andrey Yachmenev , Roman I. Ovsyannikov

On the basis of quasipotential approach in quantum electrodynamics we calculate vacuum polarization and quadrupole corrections in first and second orders of perturbation theory in hyperfine structure of P-states in muonic deuterium. All…

High Energy Physics - Phenomenology · Physics 2017-11-28 A. P. Martynenko , V. V. Sorokin

Electric-dipole forbidden spectroscopic transitions in atoms form the basis of many advanced implementations of quantum computers, atomic clocks and quantum sensors. Coherently addressing such transitions in molecules which are among the…

Applying a variational multiparticle-multihole configuration mixing method whose purpose is to include correlations beyond the mean field in a unified way without particle number and Pauli principle violations, we investigate pairing-like…

Nuclear Theory · Physics 2008-11-26 N. Pillet , J. -F. Berger , E. Caurier

We compute the quadrupole mode of the gravitational waveform of inspiralling compact binaries at the third and a half post-Newtonian (3.5PN) approximation of general relativity. The computation is performed using the multipolar…

General Relativity and Quantum Cosmology · Physics 2012-10-01 Guillaume Faye , Sylvain Marsat , Luc Blanchet , Bala R. Iyer

We present a comprehensive analysis of all currently available high-accuracy frequency measurements of rotational and rovibrational transitions in the hydrogen molecular ion HD$^+$. Our analysis utilises the theoretically calculated…

Atomic Physics · Physics 2023-05-11 Jean-Philippe Karr , Jeroen C. J. Koelemeij

We present the first experimental study that maps the transformation of nuclear quadrupole resonances from the pure nuclear quadrupole regime to the quadrupole-perturbed Zeeman regime. The transformation presents an interesting…

Quantum Physics · Physics 2009-11-13 E. A. Donley , J. L. Long , T. C. Liebisch , E. R. Hodby , T. A. Fisher , J. Kitching

Large-amplitude dynamics of axial and triaxial quadrupole deformation in 24,26Mg, 24Ne, and 28Si is investigated on the basis of the quadrupole collective Hamiltonian constructed with use of the constrained Hartree-Fock-Bogoliubov plus the…

Nuclear Theory · Physics 2011-02-02 Nobuo Hinohara , Yoshiko Kanada-En'yo

We propose a simple method to deconvolute NMR spectra of quadrupolar nuclei in order to separate the distribution of local magnetic hyperfine field from the quadrupole splitting. It is based on an iterative procedure which allows to express…

Strongly Correlated Electrons · Physics 2013-07-09 Mila Frederic , Takigawa Masashi

A paramount goal in the field of nuclear physics is to unify ab-initio treatments of bound and unbound states. The position-space quantum Monte Carlo (QMC) methods have a long history of successful bound state calculations in light systems…

Nuclear Theory · Physics 2023-08-29 Abraham R. Flores , Kenneth M. Nollett

A theoretical model of hyperfine spectra of nuclear spin conversion of molecular isomers has been developed. The model takes into account the nuclear spin-spin and spin-rotation interactions, as well as the saturation of intramolecular…

Chemical Physics · Physics 2009-11-06 Pavel L. Chapovsky

The nonrelativistic energies of the homonuclear ion T$_2^+$ are calculated for the ground state using the Lagrange-mesh method as was done for the isotopomers H$_2^+$ and D$_2^+$ ({\it J. Phys. B: At. Mol. Opt. Phys.} {\bf 45} 065101 and…

Atomic and Molecular Clusters · Physics 2015-06-19 Horacio Olivares Pilón

We develop a formalism for calculating the distribution of the axial quadrupole operator in the laboratory frame within the rotationally invariant framework of the configuration-interaction shell model. The calculation is carried out using…

Nuclear Theory · Physics 2018-01-31 C. N. Gilbreth , Y. Alhassid , G. F. Bertsch

We report extensive theoretical calculations on the rotation-inversion excitation of interstellar ammonia (NH3) due to collisions with atomic and molecular hydrogen (both para- and ortho-H2). Close-coupling calculations are performed for…

Chemical Physics · Physics 2018-11-29 N. Bouhafs , C. Rist , F. Daniel , F. Dumouchel , F. Lique , L. Wiesenfeld , A. Faure

The azimuthal hadronic flow observed in ultra-relativistic ion-ion collisions provides a sensitive probe of many-body ground-state correlations in the colliding nuclei. In particular, collective correlations associated with nuclear…

Nuclear Theory · Physics 2026-05-28 Stavros Bofos , Yi Li , Chenrong Ding , Benjamin Bally , Thomas Duguet , Mikael Frosini , Jiangming Yao

Rotational transitions of $iso$-propyl cyanide, (CH$_3$)$_2$CHCN, also known as $iso$-butyronitrile, were recorded using long-path absorption spectroscopy in selected regions between 37 and 600 GHz. Further measurements were carried out…

Instrumentation and Methods for Astrophysics · Physics 2019-03-21 Holger S. P. Müller , Audrey Coutens , Adam Walters , Jens-Uwe Grabow , Stephan Schlemmer

The main motivation for this work is the exploration of rotational-vibrational states corresponding to electronic excitations in a pre-Born-Oppenheimer quantum theory of molecules. These states are often embedded in the continuum of the…

Chemical Physics · Physics 2018-10-15 Edit Mátyus

This article provides the details on the technical derivation of the gravitational waveform and total gravitational-wave energy flux of non-spinning compact binary systems to the 4PN (fourth post-Newtonian) order beyond the Einstein…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Luc Blanchet , Guillaume Faye , Quentin Henry , François Larrouturou , David Trestini