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A microscopic time-reversal invariant cranking model (MCRM) for nuclear collective rotation about a single axis and its coupling to intrinsic motion is derived. The MCRM is derived by transforming the stationary nuclear Schrodinger equation…

Nuclear Theory · Physics 2017-09-12 P. Gulshani

The rigid-irrotational flow transformation in the previous microscopic cranking model (MCRM) for nuclear collective rotation about a single axis and its coupling to intrinsic motion is generalized. This generalization allow us to consider…

Nuclear Theory · Physics 2017-09-12 Parviz Gulshani

In this article we have developed a formalism to obtain the solution of Schroedinger equation in a non-inertial frame. The frame is moving relative to an inertial frame with an acceleration. The formulation has been developed using…

General Physics · Physics 2020-02-28 Somenath Chakrabarty

In this article, we transform the previously-derived microscopic rotational-model Schrodinger equation into a form suitable for describing oscillations-coupled-to-intrinsic motion in spherical nuclei. The resulting equation is decomposed…

Nuclear Theory · Physics 2014-02-26 Parviz Gulshani

A microscopic quantum ideal rotor-model intrinsic Hamiltonian for triaxial rotation is derived from the nuclear Schrodinger equation by applying a rotation operator to a deformed nuclear ground state. This Hamiltonian is obtained only when…

Nuclear Theory · Physics 2019-12-25 Parviz Gulshani

The conventional cranking model for uniaxial and triaxial rotation (CCRM3) is frequently used to study rotational features in deformed nuclei. However, CCRM3 is semi-classical and phenomenological because it uses a constant angular…

Nuclear Theory · Physics 2023-08-22 Parviz Gulshani , Alaaddine Lahbas

A microscopic quantum ideal rotor-model Hamiltonian (distinct from that of Bohr's rotational model) is derived for a rotation about a single axis by applying a dynamic rotation operator to the deformed nuclear ground-state wavefunction. It…

Nuclear Theory · Physics 2020-06-25 Parviz Gulshani

We derive a microscopic version of the successful phenomenological hydrodynamic model of Bohr-Davydov-Faessler-Greiner for collective rotation-vibration motion of an axially symmetric deformed nucleus. The derivation is not limited to small…

Nuclear Theory · Physics 2015-10-29 Parviz Gulshani

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

Towards the microscopic theoretical description for large amplitude collective dynamics, we calculate the coefficients of inertial masses for low-energy nuclear reactions. Under the scheme of energy density functional, we apply the…

Nuclear Theory · Physics 2022-01-06 Kai Wen , Takashi Nakatsukasa

The conventional cranking model for uniaxial rotation is frequently used to study rotational features in deformed nuclei. However, the model uses a constant angular velocity. To investigate the effect of a dynamic angular velocity, a…

Nuclear Theory · Physics 2023-03-22 Parviz Gulshani

The intrinsic and dynamic kinetic energies, and the potential energies of electron states in the hydrogen atom, were determined using the operator formalism in the Schrodinger nonrelativistic equation. Intrinsic energies were determined…

Quantum Physics · Physics 2025-05-12 Jacek Mroczkowski

Nowaday, in study of effective interactions, more attention is devoted to single-particle properties of near-magic nuclei and bulk properties of deformed ones but quasiparticle states of the latter are rarely used so far because of…

Nuclear Theory · Physics 2011-11-29 N. A. Lyutorovich

A modified quantum kinetic equation which takes account of the noninertial features of rotating frame is proposed. The vector and axial-vector field components of the Wigner function for chiral fluids are worked out in a semiclassical…

High Energy Physics - Theory · Physics 2018-10-24 Omer F. Dayi , Eda Kilincarslan

Collective inertial mass coefficients with respect to translational, relative, and rotational motions are microscopically calculated, along the collective reaction path self-consistently determined, based on the adiabatic self-consistent…

Nuclear Theory · Physics 2022-03-14 Kai Wen , Takashi Nakatsukasa

A new method describing nuclear rotational motion microscopically is proposed. We extract the rotational Hamiltonian by introducing the intrinsic pair modes which commute with the rotational mode. Thereby the rotational mode is not treated…

Nuclear Theory · Physics 2017-03-08 Daisuke Hayashi , Makoto Ueno , Yoshinao Miyanishi

The microscopic role of nuclear magnetism in rotating frame is investigated for the first time in the framework of the cranked relativistic mean field theory. It is shown that nuclear magnetism modifies the expectation values of…

Nuclear Theory · Physics 2009-11-06 A. V. Afanasjev , P. Ring

This work presents a study on the nonrelativistic quantum motion of a charged particle in a rotating frame, considering the Aharonov-Bohm effect and a uniform magnetic field. We derive the equation of motion and the corresponding radial…

The intensity relations for electromagnetic transition rates in the rotational coupling scheme have been a basic tool to understand the properties of nuclear collective rotations. In particular the correction terms to the leading-order…

Nuclear Theory · Physics 2009-10-30 Yoshifumi R. Shimizu , Takashi Nakatsukasa

We introduce a family of relativistic non-rigid non-inertial frames as a gauge fixing of the description of N positive energy particles in the framework of parametrized Minkowski theories. Then we define a multi-temporal quantization scheme…

High Energy Physics - Theory · Physics 2009-11-11 David Alba , Luca Lusanna
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