Collective Motion in Finite Many-Particle Systems. III. Foundations of a Theory of Rotational Spectra of Deformed Nuclei

1965 ◽  
Vol 140 (2B) ◽  
pp. B245-B263 ◽  
Author(s):  
Abraham Klein ◽  
Louis Celenza ◽  
Arthur K. Kerman
Keyword(s):  
Collective Motion ◽  
Particle Systems ◽  
Deformed Nuclei ◽  
Rotational Spectra

Rotational spectra of deformed nuclei and the quantum group SUq (2)

1992 ◽  
Vol 42 (12) ◽  
pp. 1337-1344 ◽  
Author(s):  
M. Honusek ◽  
M. Vinduśka ◽  
V. Wagner
Keyword(s):  
Quantum Group ◽  
Deformed Nuclei ◽  
Rotational Spectra

Calculation of rotational spectra of well-deformed nuclei up to very high spins

1989 ◽  
Vol 39 (4) ◽  
pp. 1617-1622 ◽  
Author(s):  
H. X. Huang ◽  
C. S. Wu ◽  
J. Y. Zeng
Keyword(s):  
Deformed Nuclei ◽  
Rotational Spectra ◽  
Very High

Collective Motion in Finite Many-Particle Systems. II

1965 ◽  
Vol 138 (5B) ◽  
pp. B1323-B1332 ◽  
Author(s):  
Abraham Klein ◽  
Arthur K. Kerman
Keyword(s):  
Collective Motion ◽  
Particle Systems

scholarly journals A WELL-POSEDNESS THEORY IN MEASURES FOR SOME KINETIC MODELS OF COLLECTIVE MOTION

2011 ◽  
Vol 21 (03) ◽  
pp. 515-539 ◽  
Author(s):  
J. A. CAÑIZO ◽  
J. A. CARRILLO ◽  
J. ROSADO
Keyword(s):  
Collective Behavior ◽  
Hydrodynamic Limit ◽  
Collective Motion ◽  
Kinetic Equations ◽  
Particle Systems ◽  
Well Posedness ◽  
Mass Transportation ◽  
Short Range Repulsion ◽  
Large Groups ◽  
Continuous Dependence Results

We present existence, uniqueness and continuous dependence results for some kinetic equations motivated by models for the collective behavior of large groups of individuals. Models of this kind have been recently proposed to study the behavior of large groups of animals, such as flocks of birds, swarms, or schools of fish. Our aim is to give a well-posedness theory for general models which possibly include a variety of effects: an interaction through a potential, such as a short-range repulsion and long-range attraction; a velocity-averaging effect where individuals try to adapt their own velocity to that of other individuals in their surroundings; and self-propulsion effects, which take into account effects on one individual that are independent of the others. We develop our theory in a space of measures, using mass transportation distances. As consequences of our theory, we show also the convergence of particle systems to their corresponding kinetic equations, and the local-in-time convergence to the hydrodynamic limit for one of the models.

scholarly journals Decoherence of collective motion in warm nuclei

2019 ◽  
Vol 223 ◽  
pp. 01017
Author(s):  
S. Frauendorf ◽  
C. M. Petrache ◽  
R. Schwengner ◽  
K. Wimmer
Keyword(s):  
Collective Motion ◽  
Strength Function ◽  
Pair Correlation ◽  
Zero Energy ◽  
Deformed Nuclei ◽  
Partial Restoration ◽  
Degree Of Coherence ◽  
Spherical Nuclei ◽  
Oblate Band ◽  
Rotational Damping

Collective states in cold nuclei are represented by a wave function that assigns coherent phases to the participating nucleons. The degree of coherence decreases with excitation energy above the yrast line because of coupling to the increasingly dense background of quasiparticle excitations. The consequences of decoherence are discussed, starting with the well studied case of rotational damping. In addition to superdeformed bands, a highly excited oblate band is presented as a new example of screening from rotational damping. Suppression of pair correlation leads to incoherent thermal M1 radiation, which appears as an exponential spike (LEMAR) at zero energy in the γ strength function of spherical nuclei. In deformed nuclei a Scissors Resonance appears and LEMAR changes to damped magnetic rotation, which is interpreted as partial restoration of coherence.

Collective motion in many-particle systems

1961 ◽  
Vol 12 (3) ◽  
pp. 452-462 ◽  
Author(s):  
Harry J Lipkin
Keyword(s):  
Collective Motion ◽  
Particle Systems
Sign in / Sign up

Export Citation Format

Share Document