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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

A nonperturbative renormalization of the phi^4 model is considered. First we integrate out only a single pair of conjugated modes with wave vectors +/- q. Then we are looking for the RG equation which would describe the transformation of…

Statistical Mechanics · Physics 2010-04-13 J. Kaupuzs

The longitudinal (e,e') response function of 4He is calculated precisely with full final state interaction. The explicit calculation of the four-body continuum states is avoided by the method of integral transforms. Precision tests of the…

Nuclear Theory · Physics 2009-10-30 V. D. Efros , W. Leidemann , G. Orlandini

The reformulated coupled-cluster method (CCM), in which average many-body potentials are introduced, provides a useful framework to organize numerous terms appearing in CCM equations, which enables us to clarify the structure of the CCM…

Nuclear Theory · Physics 2015-06-05 M. Kohno , R. Okamoto

Effects of the $\Sigma$N channels on the spin-orbit force in $\Lambda$-hypernuclei are investigated. It is found that the cancellation between the symmetric and the antisymmetric $\Lambda$N spin-orbit force becomes more complete when the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sachiko Takeuchi

Assume that M is a compact n-dimensional manifold and that N is obtained by surgery along a k-dimensional sphere, k\le n-3. The smooth Yamabe invariants \sigma(M) and \sigma(N) satisfy \sigma(N)\ge min (\sigma(M),\Lambda) for \Lambda>0. We…

Geometric Topology · Mathematics 2015-01-28 Bernd Ammann , Mattias Dahl , Emmanuel Humbert

The dynamics of the pseudo-Newtonian restricted four-body problem has been studied in the present paper, where the primaries have equal masses. The parametric variation of the existence as well as the position of the libration points are…

Chaotic Dynamics · Physics 2019-04-18 Md Sanam Suraj , Euaggelos E. Zotos , Rajiv Aggarwal , Amit Mittal

Selected states of the $EF\ ^1\Sigma_\mathrm{g}^+$ electronic manifold of the hydrogen molecule are computed as resonances of the four-body problem. Systematic improvement of the basis representation for the variational treatment is…

Chemical Physics · Physics 2019-10-02 Dávid Ferenc , Edit Mátyus

The mass-correction functions in the second-order non-adiabatic Hamiltonian are computed for the $^4$He$^+_2$ molecular ion using the variational method, floating explicitly correlated Gaussian functions, and a general…

Chemical Physics · Physics 2018-12-05 Edit Mátyus

We study the non-mesonic weak decay of the doubly-strange hypernucleus $^{\Lambda\Lambda}_6$He within a model which considers the exchange of pseudoscalar and vector mesons. Special attention is paid into quantifying the strong interaction…

Nuclear Theory · Physics 2018-09-12 Jordi Maneu Victoria , Assumpta Parreño , Àngels Ramos

Two spin-doublet states of %$3/2^+$-$1/2^+$ and $7/2^+$-$5/2^+$ in $^7_{\Lambda}$Li are studied on the basis of the $\alpha +\Lambda +n+p$ four-body model. We employ the two-body interactions which reproduce the observed properties of any…

Nuclear Theory · Physics 2008-11-26 E. Hiyama , Y. Yamamoto , Th. A. Rijken , T. Motoba

Hiyama et al. [PRL 104 (2010) 212502] have recently reported on a pioneering five-body alpha-alpha-n-Lambda-Lambda cluster-model calculation of Lambda-Lambda-11Be in order to confront a possible interpretation of the KEK-E373 HIDA event.…

Nuclear Theory · Physics 2011-04-22 A. Gal , D. J. Millener

We investigate the properties of liquid ${}^4$He in both the normal and superfluid phases using path integral Monte Carlo simulations and recently developed ab initio potentials that incorporate pair, three-body, and four-body interactions.…

Other Condensed Matter · Physics 2025-03-18 Tommaso Morresi , Giovanni Garberoglio

In this paper we introduce several quantitative methods for the lambda-calculus based on partial metrics, a well-studied variant of standard metric spaces that have been used to metrize non-Hausdorff topologies, like those arising from…

Logic in Computer Science · Computer Science 2024-11-19 Valentin Maestracci , Paolo Pistone

The first step toward the application of an effective non partial wave (PW) numerical approach to few-body atomic bound states has been taken. The two-body transition amplitude which appears in the kernel of three-dimensional…

Atomic Physics · Physics 2010-04-30 M. R. Hadizadeh , L. Tomio

The four-body bound state with two-body interactions is formulated in Three-Dimensional approach, a recently developed momentum space representation which greatly simplifies the numerical calculations of few-body systems without performing…

Nuclear Theory · Physics 2014-02-26 M. R. Hadizadeh , S. Bayegan

Recently, a square-integrable discrete basis, obtained performing a simple analytical local scale transformation to the harmonic oscillator basis, has been proposed and successfully applied to study the properties of two-body systems. Here,…

Nuclear Theory · Physics 2016-04-26 J. Casal , M. Rodríguez-Gallardo , J. M. Arias

An OBE potential model for the ^{1}S_0 S = -2 interaction is analyzed with emphasis on the role of coupling between the Lambda Lambda, N Xi, and Sigma Sigma channels. Singlet scalar exchange, an approximation to two-pion exchange, is…

Nuclear Theory · Physics 2009-11-07 I. R. Afnan , B. F. Gibson

A numerical method to build an orthonormal basis of properly symmetrized hyperspherical harmonic functions is developed. As a part of it, refined algorithms for calculating the transformation coefficients between hyperspherical harmonics…

Computational Physics · Physics 2020-06-24 Jérémy Dohet-Eraly , Michele Viviani

Four light-mass nuclei are considered by an effective two-body clusterisation method; $^6$Li as $^2$H$+^4$He, $^7$Li as $^3$H$+^4$He, $^7$Be as $^3$He$+^4$He, and $^8$Be as $^4$He$+^4$He. The low-energy spectrum of each is determined from…

Nuclear Theory · Physics 2017-08-02 P. R. Fraser , K. Massen-Hane , A. S. Kadyrov , K. Amos , I. Bray , L. Canton