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We prove an upper bound for the ground state energy of a Bose gas consisting of $N$ hard spheres with radius $\mathfrak{a}/N$, moving in the three-dimensional unit torus $\Lambda$. Our estimate captures the correct asymptotics of the ground…

Mathematical Physics · Physics 2023-01-13 Giulia Basti , Serena Cenatiempo , Alessandro Olgiati , Giulio Pasqualetti , Benjamin Schlein

The two-body momentum distribution n2(p1,p2) of nuclei is studied. First, a compact analytical expression is derived for Z=N l-closed nuclei, within the context of the independent-particle shell model. Application to the light closed-shell…

Nuclear Theory · Physics 2007-05-23 P. Papakonstantinou , E. Mavrommatis , T. S. Kosmas

In a previous work [Phys. Rev. A 85, 022502 (2012)] we calculated, with the use of our Gaussian expansion method for few-body systems, the energy levels and spatial structure of the 4He trimer and tetramer ground and excited states using…

Atomic Physics · Physics 2012-06-08 E. Hiyama , M. Kamimura

The energies of $^{3}H$, $^{3}He$, and $^{4}He$ ground states, the ${\frac{3}{2}}^{-}$ and ${\frac{1}{2}}^{-}$ scattering states of $^{5}He$, the ground states of $^{6}He$, $^{6}Li$, and $^{6}Be$ and the $3^{+}$ and $0^{+}$ excited states…

Nuclear Theory · Physics 2016-09-08 B. S. Pudliner , V. R. Pandharipande , J. Carlson , R. B. Wiringa

The interaction of Nucleon-Nucleon (NN) has certain physical characteristics, which indicated by nucleon, and meson degrees of freedom. The main purpose of this work is calculating the ground state energies of 21 Deutron and Alfa through…

High Energy Physics - Phenomenology · Physics 2020-03-09 K. M. Hanna , SH. M. Sewailem , R. Hussien , L. I. Abou-Salem , Asmaa. G. Shalaby

Single-particle overlap functions and spectroscopic factors are calculated on the basis of Jastrow-type one-body density matrices of open-shell nuclei constructed by using a factor cluster expansion. The calculations use the relationship…

The connection of the binding energy and width of possible bound eta-mesic states is given to the complex scattering length for s-states in the hope that, with knowledge of the final state interaction this could be useful in searches of…

Nuclear Theory · Physics 2015-06-18 J. A. Niskanen

We analyze the nuclear matter correlation properties in terms of the pair correlation function. To this aim we systematically compare the results for the variational method in the Lowest Order Constrained Variational (LOCV) approximation…

Nuclear Theory · Physics 2015-06-11 M. Baldo , H. R. Moshfegh

The nuclear density of states plays an important role in nuclear reactions. At high energies, above a few MeV, the nuclear density of states is well described by a formula that depends on the smooth single particle density of states at the…

Nuclear Theory · Physics 2007-05-23 Sanjay K. Ghosh , Byron K. Jennings

We calculate the ground state properties of recently synthesized superheavy nuclei starting from $Z$=105-120. The nonrelativistic and relativistic mean field formalisms is used to evaluate the binding energy, charge radius, quadrupole…

Nuclear Theory · Physics 2013-05-03 S. K. Singh , Mohammad Ikram , S. K. Patra

Large-angle elastic scattering of alpha-particle and strongly-bound light nuclei at a few tens MeV/nucleon has shown the pattern of rainbow scattering. This interesting process was shown to involve a significant overlap of the two colliding…

Nuclear Theory · Physics 2007-05-23 Dao T. Khoa , W. von Oertzen , H. G. Bohlen , H. S. Than

A quantum Monte Carlo method is presented for determining multi-determinantal Jastrow-Slater wave functions for which the energy is stationary with respect to the simultaneous optimization of orbitals and configuration interaction…

Other Condensed Matter · Physics 2009-11-10 Friedemann Schautz , Claudia Filippi

We present a new method for calculating ground state properties of quantum dots in high magnetic fields. It takes into account the equilibrium positions of electrons in a Wigner cluster to minimize the interaction energy in the high field…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Kainz , S. A. Mikhailov , A. Wensauer , U. Roessler

Two new low-lying $^6$He levels at excitation energies of about 2.4 and 2.9 MeV were observed in the experimental investigation of the p-$\alpha$ coincidence spectra obtained by the $^3$H($^4$He,p$\alpha$)2n four-body reaction at $E_{\rm…

We study the one-neutron removal strength of the 7He ground state, which provides us with the 6He-n component in 7He. The He isotopes are described on the basis of the 4He+Xn cluster model (X=1,2,3). The complex scaling method is applied to…

Nuclear Theory · Physics 2009-08-20 Takayuki Myo , Ryosuke Ando , Kiyoshi Kato

Relying upon our previous treatment of the density matrices for nuclei (in general, nonrelativistic self-bound finite systems) we are studying a combined effect of center-of-mass motion and short-range nucleon-nucleon correlations on the…

Nuclear Theory · Physics 2015-06-05 A. Shebeko , P. Grigorov , V. Iurasov

Results are presented for highly accurate ab initio variational calculation of the rotation - vibration energy levels of H2O2 in its electronic ground state. These results use a recently computed potential energy surface and the variational…

Earth and Planetary Astrophysics · Physics 2014-06-27 Oleg L. Polyansky , Igor N. Kozin , Roman I. Ovsyannikov , Pawel Malyszek , Jacek Koput , Jonathan Tennyson , Sergei N. Yurchenko

The $p{}^4He$ elastic scattering at the energy range from 0.695 to 393 GeV is analyzed in the framework of the Glauber theory. The Glauber amplitudes were evaluated using isospin-averaged nucleon-nucleon amplitudes and the ${}^4He$ wave…

Nuclear Theory · Physics 2007-05-23 A. M. Mosallem , V. V. Uzhinskii

A simple approach to estimation of the ground state energy of quantum antiferromagnets is developed, based on the approximation that quantum fluctuations around different bonds are independent. The ground state energy estimates are as good…

Strongly Correlated Electrons · Physics 2013-08-27 Christian Rischel