Manybody systems interacting via a twobody random ensemble. II. Average energy of each angular momentum
Abstract
In this paper, we discuss the regularities of average energies with a fixed angular momentum I (denoted as E_{I}’s) in manybody systems interacting via a twobody random ensemble. It is found that E_{I}’s with I∼I_{min} (minimum of I) or I∼I_{max} (maximum of I) have large probabilities [denoted as P(I)] to be the smallest in energy, and P(I) is close to zero elsewhere. A simple argument assuming the randomness of the twoparticle coefficients of fractional parentage is given to explain these observations. A compact trajectory of the energy E_{I} vs I(I+1) is found to be robust. Other regularities, such that there are two or three sizable P(I)’s with I∼I_{min} but P(I)≪P(I_{max})’s with I∼I_{max}, and that the coefficients C defined by <E_{I}>_{min}=CI(I+1) are sensitive to the orbits and not sensitive to particle number, etc., are discovered and studied for the first time.
 Publication:

Physical Review C
 Pub Date:
 December 2002
 DOI:
 10.1103/PhysRevC.66.064323
 arXiv:
 arXiv:nuclth/0206041
 Bibcode:
 2002PhRvC..66f4323Z
 Keywords:

 05.30.Fk;
 05.45.a;
 21.60.Cs;
 24.60.Lz;
 Fermion systems and electron gas;
 Nonlinear dynamics and chaos;
 Shell model;
 Chaos in nuclear systems;
 Nuclear Theory
 EPrint:
 19 pages and 6 figures