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The quantum many-body bound-state problem in its computationally successful coupled cluster method (CCM) representation is reconsidered. In conventional practice one factorizes the ground-state wave functions $|\Psi\rangle= e^S…

Quantum Physics · Physics 2014-05-02 Raymond F. Bishop , Miloslav Znojil

The $^{4}$He nucleus is a well bound and highly correlated four-nucleon system that is also found in form of $\alpha$-clusters as substructure in nuclear many-body systems. The standard single-particle shell model cannot represent these…

Nuclear Theory · Physics 2023-03-08 W. Horiuchi , N. Itagaki

A method for a microscopic description of Lambda hypernuclei is formulated in the framework of the unitary-model-operator approach. A unitarily transformed hamiltonian is introduced and given in a cluster expansion form. The structure of…

Nuclear Theory · Physics 2009-11-06 S. Fujii , R. Okamoto , K. Suzuki

The $n+{}^3$H, $p+{}^3$He, $p+{}^3$H, and $n+{}^3$He elastic and charge exchange reactions at low energies are studied by means of the hyperspherical harmonic method. The considered nuclear Hamiltonians include modern two- and three-nucleon…

Nuclear Theory · Physics 2020-04-01 M. Viviani , L. Girlanda , A. Kievsky , L. E. Marcucci

We investigate structure of $^{13}_\Lambda{\rm C}$ and discuss the difference and similarity between the structures of $^{12}{\rm C}$ and $^{13}_\Lambda{\rm C}$ by answering the questions if the linear-chain and gaslike cluster states,…

Nuclear Theory · Physics 2017-10-11 Y. Funaki , M. Isaka , E. Hiyama , T. Yamada , K. Ikeda

The low-lying continuum spectrum of the $^6{\rm He}$ nucleus is investigated for the first time within an ab initio framework that encompasses the $^4{\rm He}$+$n$+$n$ three-cluster dynamics characterizing its lowest decay channel. This is…

Nuclear Theory · Physics 2014-07-23 Carolina Romero-Redondo , Sofia Quaglioni , Petr Navrátil , Guillaume Hupin

Paring correlations in weakly bound halo nuclei $^{6}$He and $^{11}$Li are studied by using a three-body model with a density-dependent contact interaction. We investigate the spatial structure of two-neutron wave function in a Borromean…

Nuclear Experiment · Physics 2007-09-11 H. Sagawa , K. Hagino

The Effective Field Theory "without pions" at next-to-leading order is used to analyze universal bound state and scattering properties of the 3- and 4-nucleon system. Results of a variety of phase shift equivalent nuclear potentials are…

Variational calculations for s-shell hypernuclei are performed by explicitly including $\Sigma$ degrees of freedom. Four sets of YN interactions (SC97d(S), SC97e(S), SC97f(S) and SC89(S)) are used. The bound-state solution of $_\Lambda^5$He…

Nuclear Theory · Physics 2009-11-07 H. Nemura , Y. Akaishi , Y. Suzuki

A nonperturbative field theoretic calculation has been made for the $s$-shell hypernuclei. Here we dress the $\Lambda$- and $\Sigma$- hypernuclei with off-mass shell pion pairs. The analysis replaces the scalar isoscalar potential by…

Nuclear Theory · Physics 2007-05-23 P. K. Panda , R. Sahu

We introduce a physically-motivated model of the matter power spectrum, based on the halo model and perturbation theory. This model achieves 1\% accuracy on all $k-$scales between $k=0.02h\,\mathrm{Mpc}^{-1}$ to $k=1h\,\mathrm{Mpc}^{-1}$.…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-01 Oliver H. E. Philcox , David N. Spergel , Francisco Villaescusa-Navarro

The structure of $3/2^{-}$ and $1/2^{+}$ states in $^{11}$B is investigated with an $\alpha+\alpha+t$ orthogonality condition model (OCM) based on the Gaussian expansion method. Full levels up to the $3/2^{-}_{3}$ and $1/2^{+}_2$ states…

Nuclear Theory · Physics 2011-01-28 Taiichi Yamada , Yasuro Funaki

In order to study the bound-state structure of the Helium halo nuclei, the 8-nucleon Yakubovsky formalism has been implemented for 8He in a 5-body sub-cluster model, i.e. alpha+n+n+n+n. In this case, the 8-nucleon Yakubovsky equations has…

Nuclear Theory · Physics 2019-12-03 Eskandar Ahmadi Pouya , Ali Akbar Rajabi

The four nucleons in $^8$Li outside the $\alpha$-particle ($\alpha=^4$He) can be divided into pairs of one neutron ($n$) and 3 nucleons in the triton ($t=^3$H), or 2 in the deuteron ($d=^2$H) and two neutrons in a dineutron ($^2n$). The…

Nuclear Theory · Physics 2025-02-07 E. Garrido , A. S. Jensen

3He and the triton are studied as three-body bound states in the effective field theory without pions. We study 3He using the set of integral equations developed by Kok et al. which includes the full off-shell T-matrix for the Coulomb…

Nuclear Theory · Physics 2011-02-01 Shung-ichi Ando , Michael C. Birse

We extend the recently developed Jacobi no-core shell model to hypernuclei. Based on the coefficients of fractional parentage for ordinary nuclei, we define a basis where the hyperon is the spectator particle. We then formulate transition…

Nuclear Theory · Physics 2020-12-24 Hoai Le , Johann Haidenbauer , Ulf-G. Meißner , Andreas Nogga

We provide a detailed discussion of the low-energy proton-deuteron system in pionless effective field theory, considering both the spin-quartet and doublet S-wave channels. Extending and amending our previous work on the subject, we…

Nuclear Theory · Physics 2015-01-22 Sebastian König , Harald W. Grießhammer , H. -W. Hammer

The resonance states of $^{4}H$, $^{4}He$ and $^{4}Li$, embedded in the three-cluster $d+N+N$ continuum, are investigated within a three-cluster model. The model treats the Pauli principle exactly and incorporates the Faddeev components for…

Nuclear Theory · Physics 2007-05-23 V. Vasilevsky , F. Arickx , J. Broeckhove , V. N. Romanov

We investigate the $^{9}_{\phi}$Be and $^{6}_{\phi\phi}$He $\phi$ mesic nuclei within the framework of the three-body cluster model as the $\phi$+$\alpha$+$\alpha$ and $\phi$+$\phi$+$\alpha$ systems, using the Faddeev formalism in…

Nuclear Theory · Physics 2025-06-24 Igor Filikhin , Roman Ya. Kezerashvili , Branislav Vlahovic

We describe full-coupled-channel ab initio calculations among the octet baryons for S=-2 s-shell hypernuclei,_{LambdaLambda}^4H,_{LambdaLambda}^5H and_{LambdaLambda}^6He. The wave function includes Lambda Lambda, Lambda Sigma, N Xi, and…

Nuclear Theory · Physics 2008-11-26 H. Nemura , S. Shinmura , Y. Akaishi , Khin Swe Myint