Physical Review C

Correlations of excited states for sd bosons in the presence of random interactions

Yang Lei, Y. M. Zhao, N. Yoshida, A. Arima

Published Apr 4, 2011• 13 citations

Abstract

In this work we study the yrast states of $\mathit{sd}$-boson systems in the presence of random interactions. It is found that the yrast states with spin-zero ground states among the random ensemble exhibit strong correlations, characterized by anharmonic vibration, $s$-boson or $d$-boson condensation, as well as vibrational and rotational motions. We study these correlations explicitly based on their wave functions and the features of two-body interactions in the random ensemble.

DOI: 10.1103/physrevc.83.044302

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Physical Review C

Correlations of excited states for sd bosons in the presence of random interactions

Yang Lei, Y. M. Zhao, N. Yoshida, A. Arima

Published Apr 4, 2011• 13 citations

Publisher

Abstract

In this work we study the yrast states of

\mathit{sd}

-boson systems in the presence of random interactions. It is found that the yrast states with spin-zero ground states among the random ensemble exhibit strong correlations, characterized by anharmonic vibration,

s

-boson or

d

-boson condensation, as well as vibrational and rotational motions. We study these correlations explicitly based on their wave functions and the features of two-body interactions in the random ensemble.

DOI: 10.1103/physrevc.83.044302

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arXiv:2505.05636Physical Review CJun 10, 20250 citations

In this work we study the yrast states of

\mathit{sd}

s

-boson or

d

In this paper we study low-lying states of

sd

bosons under random interactions. We find that the yrast states are highly correlated, regardless of whether the ground state spin is zero or not. Many of the random samplings in the random ensemble well overlap with predictions of the U(5) limit in the interacting boson model.

We continue a series of numerical experiments on many-body systems with random two-body interactions, by examining correlations in ratios in excitation energies of yrast

J=0,2,4,6,8

states. Previous studies, limited only to

J=0,2,4

states, had shown strong correlations in boson systems but not fermion systems. By including $J\ensuremath{\geqslant}6$ states and considering different scatter plots, strong correlations between ratios of yrast excitation energies appear in both boson and fermion systems. Such correlations agree with real nuclear data and include the well-known limits of seniority, vibrations, and rotations.

{R}_{6}

and

{R}_{4}

(where ${R}_{I}\ensuremath{\equiv}{E}_{{I}_{1}^{+}}/{E}_{{2}_{1}^{+}}$) by using the Mallmann plot, for cases with both SP(6) symmetry and SO(8) symmetry.

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