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Four decades ago, Tomonaga proposed the elementary theory of quantum mechanical collective motion of two-dimensional nuclei of N nucleons. The theory is based essentially on the neglect of 1/sqrtN against unity. Very recently we have given…

Nuclear Theory · Physics 2015-02-10 Seiya Nishiyama , Joao da Providencia

The derivation and numerical implementation of a linearized version of the gyrokinetic (GK) Coulomb collision operator (Jorge R. et al., J. Plasma Phys. 85, 905850604 (2019)) and of the widely-used linearized GK Sugama collision operator…

Plasma Physics · Physics 2022-02-15 B. J. Frei , J. Ball , A. C. D. Hoffmann , R. Jorge , P. Ricci , L. Stenger

Unitary operations acting on a quantum system must be robust against systematic errors in control parameters for reliable quantum computing. Composite pulse technique in nuclear magnetic resonance (NMR) realises such a robust operation by…

Quantum Physics · Physics 2012-09-04 Tsubasa Ichikawa , Masamitsu Bando , Yasushi Kondo , Mikio Nakahara

By employing the angular momentum projection technique we propose a method to reliably calculate the quantum spectrum of nuclear collective rotation. The method utilizes several cranked mean-field states with different rotational…

Nuclear Theory · Physics 2019-12-06 Mitsuhiro Shimada , Shingo Tagami , Yoshifumi R. Shimizu

Collective mass tensor derived from the cranking approximation to the adiabatic time-dependent Hartree-Fock-Bogoliubov (ATDHFB) approach is compared with that obtained in the Gaussian Overlap Approximation (GOA) to the generator coordinate…

Nuclear Theory · Physics 2014-12-09 A. Baran , J. A. Sheikh , J. Dobaczewski , W. Nazarewicz

\noindent\textbf{Background:} While many phenomenological models for nuclear fission have been developed, a microscopic understanding of fission has remained one of the most challenging problems in nuclear physics.…

Nuclear Theory · Physics 2022-04-06 K. Uzawa , K. Hagino , K. Yoshida

We study the feasibility of applying the Generator Coordinate Method (GCM) of self-consistent mean-field theory to calculate decay widths of composite particles to composite-particle final states. The main question is how well the GCM can…

Nuclear Theory · Physics 2019-03-27 G. F. Bertsch , W. Younes

This paper employs modal analysis to study the core inertial dynamics of governor-controlled synchronous generators (GC-SG), droop-based grid-forming (GFM) converters, and their most fundamental interactions. The results indicate that even…

Systems and Control · Electrical Eng. & Systems 2025-12-03 Gerardo Medrano , Santiago Cóbreces

Both isoscalar and isovector spin-dipole excitations of $^4$He are studied using realistic nuclear forces in the complex scaling method. The ground state of $^4$He and discretized continuum states with $J^{\pi}=0^-, 1^-, 2^-$ for A=4 nuclei…

Nuclear Theory · Physics 2015-06-12 W. Horiuchi , Y. Suzuki

Experimental data indicate that the mass tensor of collective Bohr Hamiltonian cannot be considered as a constant but should be considered as a function of the collective coordinates. In this work our purpose is to investigate the…

Nuclear Theory · Physics 2020-03-17 M. Chabab , A. El Batoul , I. El-ilali , A. Lahbas , M. Oulne

The breathing-mode giant monopole resonance (GMR) is studied within the framework of the relativistic mean-field theory using the Generator Coordinate Method (GCM). The constrained incompressibility and the excitation energy of isoscalar…

Nuclear Theory · Physics 2009-09-25 M. V. STOITSOV , P. RING , M. M. SHARMA

The collective excitation of hybrid atomic-molecular condensate are studied using variational method. The dipole response of the system is studied in detail. We found that the out-of-phase dipole oscillation frequency increasing slowly with…

Soft Condensed Matter · Physics 2007-05-23 Chi-Yong Lin , M. S. Hussein , A. F. R. de Toledo Piza , E. Timmermans

We develop in this article a microscopic version of the successful phenomenological hydrodynamic Bohr-Davydov-Faessler-Greiner (BDFG) model for the collective rotation-vibration motion of a deformed nucleus. The model derivation is not…

Nuclear Theory · Physics 2016-07-18 Parviz Gulshani

Dipole bosons are introduced in the interacting boson model (IBM) by means of the self-consistent mean-field method. The constrained mean-field calculations employing a given nuclear energy density functional yield the potential energy…

Nuclear Theory · Physics 2025-10-21 K. Nomura

This paper proposes a generalization of the conjugate gradient (CG) method used to solve the equation $Ax=b$ for a symmetric positive definite matrix $A$ of large size $n$. The generalization consists of permitting the scalar control…

Numerical Analysis · Mathematics 2016-11-17 Amit Bhaya , Pierre-Alexandre Bliman , Guilherme Niedu , Fernando Pazos

The dynamics of induced fission of $^{226}$Th is investigated in a theoretical framework based on the finite-temperature time-dependent generator coordinate method (TDGCM) in the Gaussian overlap approximation (GOA). The thermodynamical…

Nuclear Theory · Physics 2019-01-29 Jie Zhao , Tamara Nikšić , Dario Vretenar , Shan-Gui Zhou

We present a method that uses dynamic decoupling of a multi-level quantum probe to distinguish small frequency shifts that depend on $m^2_{j}$, where $m^2_{j}$ is the angular momentum of level $\left|j\right\rangle$ along the quantization…

Quantum Physics · Physics 2016-04-13 Ravid Shaniv , Nitzan Akerman , Roee Ozeri

Background: Magnetic dipole (M1) excitation is the leading mode of nuclear excitation by the magnetic field, which couples unnatural-parity states. Since the M1 excitation occurs mainly for open-shell nuclei, the nuclear pairing effect is…

Nuclear Theory · Physics 2019-08-14 Tomohiro Oishi , Nils Paar

The structure of the nucleus $^{84}$Mo has been studied using the projected generator coordinate method (PGCM) with the Gogny D1S interaction. The calculations incorporate a mixing of particle-number and angular-momentum projected intrinsic…

Nuclear Theory · Physics 2024-11-14 Tomás R. Rodríguez

The present contribution introduces a fourth-order moment formalism for particle trajectory crossing (PTC) in the framework of multiscale modeling of disperse multiphase flow. In our previous work, the ability to treat PTC was examined with…

Numerical Analysis · Mathematics 2018-09-07 Christophe Chalons , Frédérique Laurent , Marc Massot , Aymeric Vié
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