TY - JOUR
T1 - Random interactions, isospin, and the ground states of odd-A and odd-odd nuclei
AU - Horoi, Mihai
AU - Volya, Alexander
AU - Zelevinsky, Vladimir
PY - 2002/8/1
Y1 - 2002/8/1
N2 - It was recently shown that the ground state quantum numbers of even-even nuclei have a high probability to be reproduced by an ensemble of random but rotationally invariant two-body interactions. In the present work we extend these investigations to odd-A and odd-odd nuclei, considering in particular the isospin effects. Studying the realistic shell model as well as the single-j model, we show that random interactions have a tendency to assign the lowest possible total angular momentum and isospin to the ground state. In the sd shell model this reproduces correctly the isospin but not the spin quantum numbers of actual odd-odd nuclei. An odd-even staggering effect in probability of various ground state quantum numbers is present for even-even and odd-odd nuclei, while it is smeared out for odd-A nuclei. The observed regularities suggest the underlying mechanism of bosonlike pairing of fermionic pairs in T = 0 and T = 1 states generated by the off-diagonal matrix elements of random interactions. The relation to the models of random spin interactions is briefly discussed.
AB - It was recently shown that the ground state quantum numbers of even-even nuclei have a high probability to be reproduced by an ensemble of random but rotationally invariant two-body interactions. In the present work we extend these investigations to odd-A and odd-odd nuclei, considering in particular the isospin effects. Studying the realistic shell model as well as the single-j model, we show that random interactions have a tendency to assign the lowest possible total angular momentum and isospin to the ground state. In the sd shell model this reproduces correctly the isospin but not the spin quantum numbers of actual odd-odd nuclei. An odd-even staggering effect in probability of various ground state quantum numbers is present for even-even and odd-odd nuclei, while it is smeared out for odd-A nuclei. The observed regularities suggest the underlying mechanism of bosonlike pairing of fermionic pairs in T = 0 and T = 1 states generated by the off-diagonal matrix elements of random interactions. The relation to the models of random spin interactions is briefly discussed.
UR - http://www.scopus.com/inward/record.url?scp=0036702718&partnerID=8YFLogxK
U2 - 10.1103/PhysRevC.66.024319
DO - 10.1103/PhysRevC.66.024319
M3 - Article
AN - SCOPUS:0036702718
VL - 66
SP - 243191
EP - 2431911
JO - Physical Review C - Nuclear Physics
JF - Physical Review C - Nuclear Physics
SN - 0556-2813
IS - 2
M1 - 024319
ER -