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We present a symmetry projection technique for enforcing rotational and parity symmetries in nuclear-electronic Hartree-Fock wave functions, which treat electrons and nuclei on equal footing. The molecular Hamiltonian obeys rotational and…

Chemical Physics · Physics 2023-11-03 Robin Feldmann , Alberto Baiardi , Markus Reiher

Nuclear shape and orientation degrees of freedom are incorporated into the calculation of the double-folding nuclear potential within the relativistic mean-field (RMF) formalism. The quadrupole deformations ($\beta_2$), nuclear densities…

Nuclear Theory · Physics 2024-08-30 Shilpa Rana , M. Bhuyan , Raj Kumar , B. V. Carlson

High-energy nuclear collisions have opened a new experimental method to reveal collective behavior in nuclear ground states through the lens of many-body correlations of nucleons. Using ab initio lattice and variational calculations of…

Nuclear Theory · Physics 2025-12-23 Jean-Paul Blaizot , Giuliano Giacalone , Alessandro Lovato

A robust variational approach is used to investigate the sensitivity of the rotation-vibration spectrum of phosphine (PH$_3$) to a possible cosmological variation of the proton-to-electron mass ratio, $\mu$. Whilst the majority of computed…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-17 Alec Owens , Sergei N. Yurchenko , Vladimir Špirko

A novel approach is introduced for obtaining precise solutions of the pairing Hamiltonian for tetraquarks, which utilizes an algebraic technique in infinite dimensions. The parameters involved in the transition phase are calibrated based on…

High Energy Physics - Phenomenology · Physics 2023-08-16 Amir Jalili , Jorge Segovia , Feng Pan , Yan-An Luo

The AGS equations are solved for $n{}^3\mathrm{H}$ and $p{}^3\mathrm{He}$ scattering including the Coulomb interaction. Comparison with previous work confirms the accuracy of the calculation and helps clarify a number of issues related to…

Nuclear Theory · Physics 2008-11-26 A. Deltuva , A. C. Fonseca

A theoretical framework and computer code are developed for accurate calculations of coupled rotational-vibrational states in triatomic molecules using hyper-spherical coordinates and taking into account the Coriolis coupling effect.…

Chemical Physics · Physics 2021-10-26 Igor Gayday , Alexander Teplukhin , Brian K. Kendrick , Dmitri Babikov

We compute the effect of scattering gravitational radiation off the static background curvature, up to second order in Newton constant, known in literature as tail and tail-of-tail processes, for generic electric and magnetic multipoles.…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Gabriel Luz Almeida , Stefano Foffa , Riccardo Sturani

The dynamics of nuclear collective motion is investigated in the case of reflection-asymmetric shapes. The model is based on a new parameterization of the octupole and quadrupole degrees of freedom, valid for nuclei close to the axial…

Nuclear Theory · Physics 2009-11-10 P. G. Bizzeti , A. M. Bizzeti-Sona

Tamura coupling model has been extended to consider the coupling of additional low-lying rotational bands to the ground state band. Rotational bands are built on vibrational bandheads (even-even targets) or single particle bandheads…

Nuclear Theory · Physics 2017-07-05 E. Sh. Soukhovitskii , R. Capote , J. M. Quesada , S. Chiba , D. S. Martyanov

We review a method that we recently introduced to calculate the finite-temperature distribution of the axial quadrupole operator in the laboratory frame using the auxiliary-field Monte Carlo technique in the framework of the…

Nuclear Theory · Physics 2018-03-14 Y. Alhassid , G. F. Bertsch , C. N. Gilbreth , M. T. Mustonen

We present a perturbative method for ab initio calculations of rotational and rovibrational effective Hamiltonians of both rigid and non-rigid molecules. Our approach is based on a curvilinear implementation of second order vibrational…

Chemical Physics · Physics 2016-11-04 P. Bryan Changala , Joshua H. Baraban

The development of nuclear shapes under the extreme conditions of high spin and/or temperature is examined. Scaling properties are used to demonstrate universal properties of both thermal expectation values of nuclear shapes as well as the…

Nuclear Theory · Physics 2009-11-10 Dimitri Kusnezov , W. Erich Ormand

Electric quadrupole (E2) matrix elements provide a measure of nuclear deformation and related collective structure. Ground-state quadrupole moments in particular are known to high precision in many p-shell nuclei. While the experimental…

Nuclear Theory · Physics 2021-10-04 M. A. Caprio , P. J. Fasano , P. Maris , A. E. McCoy

Determination of nuclear moments for many nuclei relies on the computation of hyperfine constants, with theoretical uncertainties directly affecting the resulting uncertainties of the nuclear moments. In this work we improve the precision…

Atomic Physics · Physics 2022-01-05 S. G. Porsev , M. S. Safronova , M. G. Kozlov

The behavior of polyatomic molecules around their equilibrium positions can be regarded as quantum coupled anharmonic oscillators. Solving the corresponding Schr\"odinger equations can interpret or predict experimental spectra of molecules.…

Chemical Physics · Physics 2024-07-10 Qi Zhang , Rui-Si Wang , Lei Wang

We solve a long-standing experimental discrepancy of NH$_3$BH$_3$, which---as a molecule---has a threefold rotational axis, but in its crystallized form at room temperature shows a fourfold symmetry about the same axis, creating a geometric…

Materials Science · Physics 2014-05-22 E. Welchman , P. Giannozzi , T. Thonhauser

We propose a method to incorporate the coupling between shape and pairing collective degrees of freedom in the framework of the interacting boson model (IBM), based on the nuclear density functional theory. To account for pairing…

Nuclear Theory · Physics 2020-11-18 K. Nomura , D. Vretenar , Z. P. Li , J. Xiang

An electronically variational approach to the calculation of atomic hyperfine structure transition energies under the influence of static external electric fields is presented. The method avoids the calculation of intermediate atomic states…

Atomic Physics · Physics 2025-08-29 Timo Fleig

In quadrupole-bound anions, an extra electron is attached at a sufficiently large quadrupole moment of a neutral molecule, which is lacking a permanent dipole moment. The nature of the bound states and low-lying resonances of such anions is…

Atomic and Molecular Clusters · Physics 2016-09-23 K. Fossez , Xingze Mao , W. Nazarewicz , N. Michel , W. R. Garrett , M. Płoszajczak