dorsal/arxiv
View SchemaPatterns of the ground states in the presence of random interactions: nucleon systems
| Authors | Y. M. Zhao, A. Arima, N. Shimizu, K. Ogawa, N. Yoshinaga, O. Scholten |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0404041 |
| URL | https://arxiv.org/abs/nucl-th/0404041 |
| DOI | 10.1103/PhysRevC.70.054322 |
| Journal | Phys.Rev. C70 (2004) 054322 |
Abstract
We present our results on properties of ground states for nucleonic systems in the presence of random two-body interactions. In particular we present probability distributions for parity, seniority, spectroscopic (i.e., in the laboratory framework) quadrupole moments and $\alpha$ clustering in the ground states. We find that the probability distribution for the parity of the ground states obtained by a two-body random ensemble simulates that of realistic nuclei: positive parity is dominant in the ground states of even-even nuclei while for odd-odd nuclei and odd-mass nuclei we obtain with almost equal probability ground states with positive and negative parity. In addition we find that for the ground states, assuming pure random interactions, low seniority is not favored, no dominance of positive values of spectroscopic quadrupole deformation, and no sign of $\alpha$-cluster correlations, all in sharp contrast to realistic nuclei. Considering a mixture of a random and a realistic interaction, we observe a second order phase transition for the $\alpha$-cluster correlation probability.
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"abstract": "We present our results on properties of ground states for nucleonic systems\nin the presence of random two-body interactions. In particular we present\nprobability distributions for parity, seniority, spectroscopic (i.e., in the\nlaboratory framework) quadrupole moments and $\\alpha$ clustering in the ground\nstates. We find that the probability distribution for the parity of the ground\nstates obtained by a two-body random ensemble simulates that of realistic\nnuclei: positive parity is dominant in the ground states of even-even nuclei\nwhile for odd-odd nuclei and odd-mass nuclei we obtain with almost equal\nprobability ground states with positive and negative parity. In addition we\nfind that for the ground states, assuming pure random interactions, low\nseniority is not favored, no dominance of positive values of spectroscopic\nquadrupole deformation, and no sign of $\\alpha$-cluster correlations, all in\nsharp contrast to realistic nuclei. Considering a mixture of a random and a\nrealistic interaction, we observe a second order phase transition for the\n$\\alpha$-cluster correlation probability.",
"arxiv_id": "nucl-th/0404041",
"authors": [
"Y. M. Zhao",
"A. Arima",
"N. Shimizu",
"K. Ogawa",
"N. Yoshinaga",
"O. Scholten"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.70.054322",
"journal_ref": "Phys.Rev. C70 (2004) 054322",
"title": "Patterns of the ground states in the presence of random interactions: nucleon systems",
"url": "https://arxiv.org/abs/nucl-th/0404041"
},
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