Order, Collectivity, Structured Yrast Lines, and Correlated Energies in Random Bosonic Systems

TL;DR

This study investigates order and collectivity in random bosonic systems, revealing novel features in yrast lines and strong signatures of collective behavior across various configurations, consistent with boson condensates.

Contribution

It introduces detailed analysis of order and collectivity in bosonic systems with varying levels, highlighting novel features and correlations in energy spectra and transition strengths.

Findings

Novel features in yrast lines consistent with boson condensates

Strong signatures of order and collectivity in energy ratios and transition strengths

Pronounced correlations and signatures of triaxiality across systems

Abstract

Signatures of order and collectivity appear in a broad range of one and two level boson systems. Toy systems of $N$ particles on a single $j=3,\,4\dots 7$ level, and on 2 levels $(j_1,\,j_2)$ with $j_1+j_2 \leq 6$ were studied. Surprising novel features in the yrast lines were consistent with boson condensates. Strong signatures of order and collectivity were the norm. These included the usual energy ratios and quadrupole transition strengths for vibrational and rotational bands. There were pronounced correlations in energy ratios, sharp peaks in the Alga ratios and fractional collectivity across all the 1-level systems, as well as signatures of triaxiality