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It is noted that the simple interaction in isospin variables $a (1/4 - t(i)\cdot t(j))$, in a single $j$ shell calculation, can also be written with angular momentum variables. For the configuration $(j^2) J_A$ for even $J_A$ the isospin is…

Nuclear Theory · Physics 2007-05-23 L. Zamick , A. Z. Mekjian , S. J. Lee

The competition between the isovector (T=1) and isoscalar (T=0) proton-neutron ($p-n$) correlations in $N=Z$ nuclei is investigated by calculating their correlation energies with a realistic effective interaction which reproduces observed…

Nuclear Theory · Physics 2009-11-10 M. Hasegawa , K. Kaneko

In this essay we examine the gravitational collapse of a nonrelativistic charged perfect fluid interacting with a dark energy component. Given a simple factor for the energy transfer, we obtain a nonsingular interior solution which…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Rodrigo Maier

Reconnection physics at micro-scales is investigated in an electron magnetohydrodynamics frame. A new process of collapse of the neutral current sheet is demonstrated by means of analytical and numerical solutions. It shows how at scales…

Plasma Physics · Physics 2017-12-01 I F Shaikhislamov

It is shown that when higher-shell admixtures are included for systems with two valence particles or holes, there are effects which are quite different from those for one-valence-nucleon systems. For example, for nuclei with one valence…

Nuclear Theory · Physics 2009-09-25 D. C. Zheng , L. Zamick , M. Fayache

We study the roles of the tensor and pairing correlations on the halo formation in 11Li with an extended 9Li+n+n model. We first solve the ground state of 9Li in the shell model basis by taking 2p-2h states using the Gaussian functions with…

Nuclear Theory · Physics 2008-11-26 Takayuki Myo , Kiyoshi Kato , Hiroshi Toki , Kiyomi Ikeda

Mirror energy differences (MED) and triplet energy differences (TED) in the T=1 analogue states are important probes of isospin-symmetry breaking. Inspired by the recent spectroscopic data of 66Se, we investigate these quantities for…

Nuclear Theory · Physics 2015-06-19 K. Kaneko , Y. Sun , T. Mizusaki , S. Tazaki

We study a tendency to orientational symmetry breaking of the square lattice t-J model by applying the exact diagonalization technique. We introduce a small external anisotropy to t and J, and calculate the induced anisotropy of hole-hole…

Strongly Correlated Electrons · Physics 2009-11-11 Akiharu Miyanaga , Hiroyuki Yamase

The energies and transition rates to $J=1^{+} T=1$ and $J=2^{+} T=0,1$ states in ^{12}C with matrix elements fitted to realistic $G$ matrix elements obtained in non-relativistic approaches are studied. Then the effects of varying the…

Nuclear Theory · Physics 2016-08-15 M. S. Fayache , Y. Y. Sharon , L. Zamick

We consider dynamics of Bose-Einstein condensates with long-range attractive interaction proportional to $1/r^b$ and arbitrary angular dependence. It is shown exactly that collapse of Bose-Einstein condensate without contact interactions is…

Pattern Formation and Solitons · Physics 2010-10-21 Pavel M. Lushnikov

We show that the breaking of integrability in the fundamental one-dimensional model of bosons with contact interactions has consequences on the stationary correlation properties of the system. We calculate the energies and correlation…

Quantum Physics · Physics 2014-06-26 Ioannis Brouzos , Angela Foerster

The gravitational collapse of a massless scalar field with a self-interaction term $\lambda\phi^4$ in anti-de Sitter space is investigated. We numerically investigate the effect of the self-interaction term on the critical amplitudes,…

General Relativity and Quantum Cosmology · Physics 2016-04-20 Rong-Gen Cai , Li-Wei Ji , Run-Qiu Yang

The whole entanglement measure so-called geometric $\Pi_4$ average of tangles and bipartite entanglement of the antiferromagnetic spin-1/2 XXX Heisenberg model on a tetranuclear square cluster with cyclic four-spin interaction are…

Statistical Mechanics · Physics 2022-06-07 Hamid Arian Zad , Azam Zoshki , Nerses Ananikian , Michal Jaščur

We study the Li isotopes systematically in terms of the tensor-optimized shell model (TOSM) by using a bare nucleon-nucleon interaction as the AV8' interaction. The short-range correlation is treated in the unitary correlation operator…

Nuclear Theory · Physics 2015-06-11 Takayuki Myo , Atsushi Umeya , Hiroshi Toki , Kiyomi Ikeda

This paper investigates the polytropic matter shell collapse in the non-commutative Reissner-Nordstr$\ddot{o}$m geometry. Using the Israel criteria, equation of motion for the polytropic matter shell is derived. In order to explore the…

General Relativity and Quantum Cosmology · Physics 2015-06-04 M. Sharif , G. Abbas

We perform shell model calculations using a quadrupole-quadrupole interaction (Q.Q) in single a j shell space. We show that this one-parameter interaction is a good predictor of where nuclear isomerism occurs and where it does not occur.…

Nuclear Theory · Physics 2021-08-31 Praveen Srivastava , Larry Zamick

The spin and charge excitations of the t--J ladder are studied by exact diagonalization techniques for several electron densities. The various modes are classified according to their spin (singlet or triplet excitations) and their parity…

Condensed Matter · Physics 2016-08-31 D. Poilblanc , D. J. Scalapino , W. Hanke

We have devised an isotropic interaction potential that gives rise to negative thermal expansion (NTE) behavior in equilibrium many-particle systems in both two and three dimensions over a wide temperature and pressure range (including zero…

Materials Science · Physics 2008-07-24 Mikael C. Rechtsman , Frank H. Stillinger , Salvatore Torquato

Both isoscalar and isovector spin-dipole excitations of $^4$He are studied using realistic nuclear forces in the complex scaling method. The ground state of $^4$He and discretized continuum states with $J^{\pi}=0^-, 1^-, 2^-$ for A=4 nuclei…

Nuclear Theory · Physics 2015-06-12 W. Horiuchi , Y. Suzuki