activity
19952026
most citedExact Solution of the Isovector Proton Neutron Pairing Hamiltonian

58 citations · 680 across the 43 of their papers we have counts for

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nucl-th2026

Full-Spectrum Quantum Simulation for the Nuclear Shell Model

B. Maheshwari, P. Stevenson, P. Van Isacker

The nuclear shell model is a general way of expressing the many-body nuclear Hamiltonian and deciphering the underlying nuclear structure. In today's era of modern and high-power c…

nucl-th2026

Relation between E2 transitions in even--even and odd-mass nuclei

P. Van Isacker

How is the B(E2;2_1^+ -> 0_1^+) value in an even-even nucleus related to corresponding B(E2;J_i -> J_f) values in a neighbouring odd-mass nucleus? If either neutrons or protons are…

nucl-th2023★ 9 cited

Persistent vibrational structure in Cd

N. Gavrielov, J. E. Garcia-Ramos, P. Van Isacker +1

The empirical spectra and decay rates in Cd are shown to be consistent with a vibrational interpretation for low-lying normal states, coexisting with a sin…

nucl-th2016★ 9 cited

Properties of isocalar-pair condensates

P. Van Isacker, A. O. Macchiavelli, P. Fallon +1

It is pointed out that the ground state of n neutrons and n protons in a single-j shell, interacting through an isoscalar (T=0) pairing force, is not paired, J=0, but rather spin-a…

nucl-th2016★ 24 cited

Symmetries and deformations in the spherical shell model

Piet Van Isacker, Stuart Pittel

We discuss symmetries of the spherical shell model that make contact with the geometric collective model of Bohr and Mottelson. The most celebrated symmetry of this kind is SU(3),…

nucl-th2015★ 55 cited

Shape coexistence in the microscopically guided interacting boson model

K. Nomura, T. Otsuka, P. Van Isacker

Shape coexistence has been a subject of great interest in nuclear physics for many decades. In the context of the nuclear shell model, intruder excitations may give rise to remarka…

nucl-th2014★ 33 cited

Seniority in quantum many-body systems. I. Identical particles in a single shell

P. Van Isacker, S. Heinze

A discussion of the seniority quantum number in many-body systems is presented. The analysis is carried out for bosons and fermions simultaneously but is restricted to identical pa…

nucl-th2014★ 20 cited

Linking partial and quasi dynamical symmetries in rotational nuclei

C. Kremer, J. Beller, A. Leviatan +4

Background: Quasi dynamical symmetries (QDS) and partial dynamical symmetries (PDS) play an important role in the understanding of complex systems. Up to now these symmetry concept…

nucl-th2014

Partial and Quasi Dynamical Symmetries in Nuclei

P. Van Isacker

One of the interesting aspects in the study of atomic nuclei is the strikingly regular behaviour many display in spite of being complex quantum-mechanical systems, prompting the un…

nucl-th2013★ 30 cited

Neutron-proton pairs in nuclei

P. Van Isacker

A review is given of attempts to describe nuclear properties in terms of neutron--proton pairs that are subsequently replaced by bosons. Some of the standard approaches with low-sp…

nucl-th2013★ 3 cited

Correlations between charge radii, E0 transitions, and M1 strength

P. Van Isacker

In the framework of the interacting boson model, relations are derived between nuclear charge radii, electric monopole transition rates, and summed magnetic dipole transition in ev…

nucl-th2013★ 13 cited

Geometry of the shears mechanism in nuclei

P. Van Isacker, A. O. Macchiavelli

The geometry of the shears mechanism in nuclei is derived from the nuclear shell model. This is achieved by taking the limit of large angular momenta (classical limit) of shell-mod…

nucl-th2012★ 4 cited

Nuclear charge radii and electric monopole transitions in the interacting boson model

P. Van Isacker

The interacting boson model (IBM) of Arima and Iachello is applied to calculate nuclear charge radii and electric monopole transitions of even-even nuclei in the rare-earth region.…

nucl-th2012★ 6 cited

Aligned neutron--proton pairs in nuclei

P. Van Isacker

It is argued that nuclei with can be interpreted in terms of aligned neutron--proton pairs with angular momentum and isospin T=0. Based on this o…

nucl-th2012★ 29 cited

Consistent description of nuclear charge radii and electric monopole transitions

S. Zerguine, P. Van Isacker, A. Bouldjedri

A systematic study of energy spectra throughout the rare-earth region (even-even nuclei from Ce to W) is carried out in the framework of the interacting boson model (…

nucl-th2010★ 10 cited

Partial conservation of seniority in nuclei

P. Van Isacker

A review is given of the relation between pairing, quasi-spin algebras and seniority. The former two concepts are closely connected, the relation being that the quasi-spin formalis…

nucl-th2010★ 45 cited

Description of nuclei in the A100 mass region with the interacting boson model

M. Böyükata, P. Van Isacker, I. Uluer

Even--even nuclei in the mass region are investigated within the framework of the interacting boson model-1 ({IBM-1}). The study includes energy spectra and electric qua…

nucl-th2010★ 6 cited

Effective three-body interactions in nuclei

P. Van Isacker, I. Talmi

It is shown that the three-body forces in the shell, for which recently evidence was found on the basis of spectroscopic properties of the Ca isotopes and isotone…

nucl-th2010★ 4 cited

Pair-vibrational states in the presence of neutron-proton pairing

R. R. Chasman, P. Van Isacker

Pair vibrations are studied for a Hamiltonian with neutron-neutron, proton-proton and neutron-proton pairing. The spectrum is found to be rich in strongly correlated, low-lying exc…

nucl-th2009★ 30 cited

Phase transitions in the interacting boson model

P. Van Isacker, A. Bouldjedri, S. Zerguine

A geometric analysis of the interacting boson model is performed. A coherent-state is used in terms of three types of deformation: axial quadrupole (), axial hexadecapol…

nucl-th2009★ 11 cited

IBM-1 calculations towards the neutron-rich nucleus Zr

S. Lalkovski, P. Van Isacker

The neutron-rich N=66 isotonic and A=106 isobaric chains, covering regions with varying types of collectivity, are interpreted in the framework of the interacting boson model. Leve…

nucl-th2006★ 14 cited

Exactly-solvable models of proton and neutron interacting bosons

S. Lerma H., B. Errea, J. Dukelsky +2

We describe a class of exactly-solvable models of interacting bosons based on the algebra SO(3,2). Each copy of the algebra represents a system of neutron and proton bosons in a gi…

nucl-th2006★ 58 cited

Exact Solution of the Isovector Proton Neutron Pairing Hamiltonian

J. Dukelsky, V. G. Gueorguiev, P. Van Isacker +3

The complete exact solution of the T=1 neutron-proton pairing Hamiltonian is presented in the context of the SO(5) Richardson-Gaudin model with non-degenerate single-particle level…

nucl-th2005★ 10 cited

Bounds on the presence of quantum chaos in nuclear masses

Jorge G. Hirsch, Alejandro Frank, Jose Barea +2

Differences between measured nuclear masses and those calculated using the Finite Range Droplet Model are analyzed. It is shown that they have a well defined, clearly correlated os…