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Related papers: Longitudinal response function of 4He with a reali…

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We investigate the multineutron excitations of neutron-rich $^8$He in the electric dipole strength using a $^4$He+$n$+$n$+$n$+$n$ five-body model. Many-body unbound states of $^8$He are obtained in the complex scaling method. We found that…

Nuclear Theory · Physics 2022-08-04 Takayuki Myo , Kiyoshi Kato

It is well-known that any solution of the Laplace equation is a real or imaginary part of a complex holomorphic function. In this paper, in some sense, we extend this property into four order hyperbolic and elliptic type PDEs. To be more…

Analysis of PDEs · Mathematics 2019-07-23 A. Pogorui , T. Kolomiiets , R. M. Rodriguez-Dagnino

The ground and excited states of the 3H and 4He nuclei are studied in the framework of group-theoretical methods. Basis functions of the unitary scheme model corresponding to even numbers of quanta of excitation in the range from zero to…

Nuclear Theory · Physics 2018-02-21 S. B. Doma , H. S. El-Gendy

The role of the three-body interactions in the ground-states of 3H and 4He nuclei has been investigated by using two different methods. Accordingly, the ground-state nuclear wave functions, the binding energies, the root mean-square radii…

Nuclear Theory · Physics 2015-09-08 S. B. Doma , H. S. El-Gendy

The spectrum of the (L_i^3 + p-bar + 2e) four-body system was calculated in an adiabatic approach. The two-electron energies were approximated by a sum of two single-electron effective charge two-center energies as suggested in [6]. While…

Atomic Physics · Physics 2009-11-07 J. Revai , V. B. Belyaev

Energy levels of the double-$\Lambda$ hypernuclei $_\Lambda^{}$$_\Lambda^7$He, $_\Lambda^{}$$_\Lambda^7$Li, $_\Lambda^{}$$_\Lambda^8$Li, $_\Lambda^{}$$_\Lambda^9$Li, $_\Lambda^{}$$_\Lambda^9$Be and $_\Lambda^{}$$_\Lambda^{10}$Be are…

Nuclear Theory · Physics 2009-11-07 E. Hiyama , M. Kamimura , T. Motoba , T. Motoba , Y. Yamamoto

The 4He monopole form factor is studied by computing the transition matrix element of the electromagnetic charge operator between the 4He ground-state and the p+3H and n+3He scattering states. The nuclear wave functions are calculated using…

Nuclear Theory · Physics 2024-06-04 M. Viviani , A. Kievsky , L. E. Marcucci , L. Girlanda

Electric dipole ($E1$) response of $^{6}$He is studied with a fully microscopic six-body calculation. The wave functions for the ground and excited states are expressed as a superposition of explicitly correlated Gaussians (CG). Final state…

Nuclear Theory · Physics 2015-06-19 D. Mikami , W. Horiuchi , Y. Suzuki

We present new trial wave-functions which include 3-body correlations into the backflow coordinates and a 4-body symmetric potential. We show that our wavefunctions lower the energy enough to stabilize the ground state energies of normal…

Strongly Correlated Electrons · Physics 2011-05-13 Markus Holzmann , Bernard Bernu , D. M. Ceperley

A simple three-body model of 6He is extended to include sd-continuum states in the picture in addition to the already investigated p-states. The role of different continuum components in the weakly bound nucleus 6He is studied by coupling…

Nuclear Theory · Physics 2016-04-20 Jagjit Singh , L. Fortunato

Using a long-range polarization potential for HeH$^{+}$, we can obtain an empirical value for the Boltzmann constant $k_{B}$ with an order of magnitude greater precision than the previous best experimental value based on the dipole…

Atomic Physics · Physics 2014-10-21 Nikesh S. Dattani , Mariusz Puchalski

The problem of calculating the four--nucleon bound state properties for the case of realistic two- and three-body nuclear potentials is studied using the hyperspherical harmonic (HH) approach. A careful analysis of the convergence of…

Nuclear Theory · Physics 2009-11-10 M. Viviani , A. Kievsky , S. Rosati

Practical methods to compute dipole strengths for a three-body system by using a discretized continuum are analyzed. New techniques involving Green's function are developed, either by correcting the tail of the approximate wave function in…

Nuclear Theory · Physics 2014-11-20 Y. Suzuki , W. Horiuchi , D. Baye

In neutron-rich $^8$He, we study the soft dipole resonance, which is regarded as a dipole oscillation of four valence neutrons against the $^4$He core, and its effect on the low-energy electric dipole strength with a $^4$He+$n$+$n$+$n$+$n$…

Nuclear Theory · Physics 2022-11-22 Takayuki Myo , Myagmarjav Odsuren , Kiyoshi Kato

A contact potential describing an effective interaction between atomic $^4$He reproducing the results obtained with the HFDHE2 potential by Aziz et al. is employed to study the resulting equation of state by means of Quantum Monte Carlo…

Quantum Gases · Physics 2022-11-02 Hilla De-Leon , Francesco Pederiva

We present calculations of the quasi-elastic responses functions in 4He based upon a mean-field model used to perform analogous calculations in heavier nuclei. The meson exchange current contribution is small if compared with the results of…

Nuclear Theory · Physics 2008-11-26 M. Anguiano , A. M. Lallena , G. Co'

Evidence for particle stability of Lambda-Lambda hydrogen-4 (4LLH) has been suggested by the BNL-AGS E906 experiment. We report on Faddeev-Yakubovsky calculations for the four-body Lambda-Lambda-p-n system using Lambda-N interactions which…

Nuclear Theory · Physics 2009-11-07 I. N. Filikhin , A. Gal

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

We show a formal result of the longitudinal force acting on a moving potential. The potential can be velocity-dependent, which appears in various interesting physical systems, such as electrons in the presence of a magnetic flux-line, or…

Condensed Matter · Physics 2007-05-23 Jian-Ming Tang , D. J. Thouless

Various electromagnetic few-body break-up reactions into the many-body continuum are calculated microscopically with the Lorentz integral transform (LIT) method. For three- and four-body nuclei the nuclear Hamiltonian includes two- and…

Nuclear Theory · Physics 2008-11-26 W. Leidemann