# Nuclear scissors modes and hidden angular momenta

## Abstract

The coupled dynamics of low-lying modes and various giant resonances are studied with the help of the Wigner Function Moments method generalized to take into account spin degrees of freedom and pair correlations simultaneously. The method is based on Time-Dependent Hartree–Fock–Bogoliubov equations. The model of the harmonic oscillator including spin–orbit potential plus quadrupole–quadrupole and spin–spin interactions is considered. New low-lying spin-dependent modes are analyzed. Special attention is paid to the scissors modes. A new source of nuclear magnetism, connected with counter-rotation of spins up and down around the symmetry axis (hidden angular momenta), is discovered. Its inclusion into the theory allows one to improve substantially the agreement with experimental data in the description of energies and transition probabilities of scissors modes.

- Authors:

- Joint Institute for Nuclear Research (Russian Federation)
- Université Paris-Sud, Institut de Physique Nucléaire, IN2P3–CNRS (France)

- Publication Date:

- OSTI Identifier:
- 22613998

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Atomic Nuclei; Journal Volume: 80; Journal Issue: 1; Other Information: Copyright (c) 2017 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; ANGULAR MOMENTUM; EXPERIMENTAL DATA; GIANT RESONANCE; HARMONIC OSCILLATORS; HARTREE-FOCK-BOGOLYUBOV THEORY; J-J COUPLING; NUCLEAR MAGNETISM; PROBABILITY; QUADRUPOLES; SYMMETRY; TIME DEPENDENCE; WIGNER THEORY

### Citation Formats

```
Balbutsev, E. B., E-mail: balbuts@theor.jinr.ru, Molodtsova, I. V., and Schuck, P.
```*Nuclear scissors modes and hidden angular momenta*. United States: N. p., 2017.
Web. doi:10.1134/S1063778817010033.

```
Balbutsev, E. B., E-mail: balbuts@theor.jinr.ru, Molodtsova, I. V., & Schuck, P.
```*Nuclear scissors modes and hidden angular momenta*. United States. doi:10.1134/S1063778817010033.

```
Balbutsev, E. B., E-mail: balbuts@theor.jinr.ru, Molodtsova, I. V., and Schuck, P. Sun .
"Nuclear scissors modes and hidden angular momenta". United States.
doi:10.1134/S1063778817010033.
```

```
@article{osti_22613998,
```

title = {Nuclear scissors modes and hidden angular momenta},

author = {Balbutsev, E. B., E-mail: balbuts@theor.jinr.ru and Molodtsova, I. V. and Schuck, P.},

abstractNote = {The coupled dynamics of low-lying modes and various giant resonances are studied with the help of the Wigner Function Moments method generalized to take into account spin degrees of freedom and pair correlations simultaneously. The method is based on Time-Dependent Hartree–Fock–Bogoliubov equations. The model of the harmonic oscillator including spin–orbit potential plus quadrupole–quadrupole and spin–spin interactions is considered. New low-lying spin-dependent modes are analyzed. Special attention is paid to the scissors modes. A new source of nuclear magnetism, connected with counter-rotation of spins up and down around the symmetry axis (hidden angular momenta), is discovered. Its inclusion into the theory allows one to improve substantially the agreement with experimental data in the description of energies and transition probabilities of scissors modes.},

doi = {10.1134/S1063778817010033},

journal = {Physics of Atomic Nuclei},

number = 1,

volume = 80,

place = {United States},

year = {Sun Jan 15 00:00:00 EST 2017},

month = {Sun Jan 15 00:00:00 EST 2017}

}