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We investigate the use of an operatorial basis in a self-consistent theory of large amplitude collective motion. For the example of the pairing-plus-quadrupole model, which has been studied previously at equilibrium, we show that a small…

Nuclear Theory · Physics 2009-11-10 Daniel Almehed , Niels R. Walet

A model Hamiltonian describing a two-level system with a crossing plus a pairing force is investigated using technique of large-amplitude collective motion. The collective path, which is determined by the decoupling conditions, is found to…

Nuclear Theory · Physics 2009-10-30 Takashi Nakatsukasa , Niels R. Walet

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

Construction of the microscopic theory of large-amplitude collective motion, capable of describing a wide variety of quantum collective phenomena in nuclei, is a long-standing and fundamental subject in the study of nuclear many-body…

Nuclear Theory · Physics 2010-04-09 K. Matsuyanagi , M. Matsuo , T. Nakatsukasa , N. Hinohara , K. Sato

Collective motion is a manifestation of emergent phenomena in medium-heavy and heavy nuclei. A relatively large number of constituent nucleons contribute coherently to nuclear excitations (vibrations, rotations) that are characterized by…

Nuclear Theory · Physics 2022-03-18 Z. P. Li , D. Vretenar

The collective motion of a finite nuclear system is investigated by numerical simulation and by linear response theory. Using a pseudo-particle simulation technique we analyze the giant resonances with a multipole decomposition scheme. We…

Nuclear Theory · Physics 2007-05-23 Klaus Morawetz , Uwe Fuhrmann , Rainer Walke

An adiabatic approximation to the selfconsistent collective coordinate method is formulated in order to describe large amplitude collective motions in superconducting nuclei on the basis of the time-dependent Hartree-Fock-Bogoliubov…

Nuclear Theory · Physics 2009-11-06 M. Matsuo , T. Nakatsukasa , K. Matsuyanagi

We investigate a description of shape-mixing and shape-transitions using collective coordinates. To that end we apply a theory of adiabatic large-amplitude motion to a simplified nuclear shell-model, where the approximate results can be…

Nuclear Theory · Physics 2008-11-26 Takashi Nakatsukasa , Niels R. Walet

The general problem of dissipation in macroscopic large-amplitude collective motion and its relation to energy diffusion of intrinsic degrees of freedom of a nucleus is studied. By applying the cranking approach to the nuclear many-body…

Nuclear Theory · Physics 2016-03-28 V. M. Kolomietz , S. Åberg , S. V. Radionov

The adiabatic selfconsistent collective coordinate method is applied to an exactly solvable multi-O(4) model which simulates nuclear shape coexistence phenomena. Collective mass and dynamics of large amplitude collective motions in this…

Nuclear Theory · Physics 2009-11-10 M. Kobayasi , T. Nakatsukasa , M. Matsuo , K. Matsuyanagi

A generalized formalism of the so-called non-adiabatic quantum molecular dynamics is presented, which applies for atomic many-body systems in external laser fields. The theory treats the nuclear dynamics and electronic transitions…

Atomic Physics · Physics 2007-05-23 Thomas Kunert , Ruediger Schmidt

The main result of this study consists in working out a microscopic description of collective motion in hot nuclei, allowing to express the parameters of a phenomenological collective model in terms of nucleonic quantities.

Nuclear Theory · Physics 2008-11-25 V. P. Aleshin

A simple model, in which nuclei are represented as homogeneous spheres of symmetric nuclear matter, is used to study the effects of a self-consistent pairing interaction on the nuclear response. Effects due to the finite size of nuclei are…

Nuclear Theory · Physics 2015-05-18 V. I. Abrosimov , D. M. Brink , A. Dellafiore , F. Matera

The status of the macroscopic and microscopic description of the collective quadrupole modes is reviewed, where limits due to non-adiabaticity and decoherence are exposed. The microscopic description of the yrast states in vibrator-like…

Nuclear Theory · Physics 2019-07-02 S. Frauendorf

We derive the equations of motion of test bodies for a theory with nonminimal coupling by means of a multipole method. The propagation equations for pole-dipole particles are worked out for a gravity theory with a very general coupling…

Astrophysics · Physics 2008-12-30 Dirk Puetzfeld , Yuri N. Obukhov

A survey of algebraic approaches to various problems in nuclear physics is given. Examples are chosen from pairing of many-nucleon systems, nuclear structure, fusion reactions below the Coulomb barrier, and supernova neutrino physics to…

Nuclear Theory · Physics 2007-11-06 A. B. Balantekin

Large amplitude collective motion is investigated for a model pairing Hamiltonian containing an avoided level crossing. A classical theory of collective motion for the adiabatic limit is applied utilising either a time-dependent mean-field…

Nuclear Theory · Physics 2008-11-26 Takashi Nakatsukasa , Niels R. Walet

The challenging nuclear many-body problem is discussed along with classifications and qualitative descriptions of existing methods and models. We present detailed derivations of a new method where cluster correlations co-exist with an…

Nuclear Theory · Physics 2018-07-04 D. Hove , E. Garrido , P. Sarriguren , D. V. Fedorov , H. O. U. Fynbo , A. S. Jensen , N. T. Zinner

The general problem of dissipation in macroscopic large-amplitude collective motion and its relation to energy diffusion of intrinsic degrees of freedom of a nucleus is studied. By applying the cranking approach to the nuclear many body…

Nuclear Theory · Physics 2009-09-01 V. M. Kolomietz , S. V. Radionov

We conduct a systematic investigation of the nuclear collective dynamics that emerges in systems with random two-body interactions. We explore the development of the mean field and study its geometry. We investigate multipole collectivities…

Nuclear Theory · Physics 2011-09-02 Volha Abramkina , Alexander Volya
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