scholarly journals Many-body systems in the presence of the random interactions and the J pairing interaction

2004 ◽  
Author(s):  
Akito Arima
Keyword(s):  
Many Body ◽  
Pairing Interaction ◽  
Random Interactions ◽  
Many Body Systems

REGULAR STRUCTURE OF LOW-LYING STATES FOR ATOMIC NUCLEI UNDER RANDOM INTERACTIONS

2008 ◽  
Vol 17 (supp01) ◽  
pp. 304-317
Author(s):  
Y. M. ZHAO
Keyword(s):  
Ground State ◽  
Collective Motion ◽  
Regular Structure ◽  
Positive Parity ◽  
Many Body ◽  
Random Interactions ◽  
Atomic Nuclei ◽  
Many Body Systems

In this paper we review regularities of low-lying states for many-body systems, in particular, atomic nuclei, under random interactions. We shall discuss the famous problem of spin zero ground state dominance, positive parity dominance, collective motion, odd-even staggering, average energies, etc., in the presence of random interactions.

scholarly journals Spin structure of many-body systems with two-body random interactions

2000 ◽  
Vol 63 (1) ◽  
Author(s):  
Lev Kaplan ◽  
Thomas Papenbrock ◽  
Calvin W. Johnson
Keyword(s):  
Spin Structure ◽  
Many Body ◽  
Random Interactions ◽  
Many Body Systems

CLUSTERING PHENOMENON BY RANDOM TWO-BODY INTERACTIONS AND THE Jmax PAIRING INTERACTION

2005 ◽  
Vol 19 (15n17) ◽  
pp. 2471-2474
Author(s):  
YU-MIN ZHAO ◽  
AKITO ARIMA
Keyword(s):  
Many Body ◽  
Pairing Interaction ◽  
Many Body Systems

In this talk we first explain the context of a topic called "regularities for many-body systems in the presence of random two-body interactions". Then we discuss the robustness of the α clustering phenomenon in the presence of random two-body interactions. Last, we discuss a clustering picture of fermions in a single-j shell with the J max pairing interaction.

REGULAR LOW-LYING STRUCTURE OF ATOMIC NUCLEI UNDER RANDOM INTERACTIONS

2008 ◽  
Vol 17 (09) ◽  
pp. 1694-1704
Author(s):  
Y. M. ZHAO
Keyword(s):  
Ground State ◽  
Many Body ◽  
Random Interactions ◽  
Atomic Nuclei ◽  
Many Body Systems

In this paper we present a brief discussion on regular low-lying structures of many-body systems generated from random two-body interactions. In particular, we discuss the famous problem of spin zero ground state dominance, regularities of energy centroids and collectivity in the presence of random interactions.

scholarly journals Emergence of a Renormalized 1/N Expansion in Quenched Critical Many-Body Systems

2021 ◽  
Vol 126 (11) ◽  
Author(s):  
Benjamin Geiger ◽  
Juan Diego Urbina ◽  
Klaus Richter
Keyword(s):  
Many Body ◽  
Many Body Systems

scholarly journals Interaction between Different Kinds of Quantum Phase Transitions

2021 ◽  
Vol 3 (2) ◽  
pp. 253-261
Author(s):  
Angel Ricardo Plastino ◽  
Gustavo Luis Ferri ◽  
Angelo Plastino
Keyword(s):  
Phase Transitions ◽  
Nuclear Physics ◽  
Body Problem ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Exactly Solvable Models ◽  
Solvable Models ◽  
Many Body ◽  
Pairing Interaction ◽  
Exactly Solvable

We employ two different Lipkin-like, exactly solvable models so as to display features of the competition between different fermion–fermion quantum interactions (at finite temperatures). One of our two interactions mimics the pairing interaction responsible for superconductivity. The other interaction is a monopole one that resembles the so-called quadrupole one, much used in nuclear physics as a residual interaction. The pairing versus monopole effects here observed afford for some interesting insights into the intricacies of the quantum many body problem, in particular with regards to so-called quantum phase transitions (strictly, level crossings).

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