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Within the framework of the Faddeev formalism in configuration space, we investigate bound states in the $\phi NN$ system with total isospin $T=0$ and $T=1$. The recently proposed lattice HAL QCD $\phi N$ potential in the $^{4}S_{3/2}$…

Nuclear Theory · Physics 2024-08-21 Igor Filikhin , Roman Ya. Kezerashvili , Branislav Vlahovic

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

Nuclear cluster physics implicitly assumes a distinction between groups of degrees-of-freedom, that is the (frozen) intrinsic and (explicitly treated) relative cluster motion. We formulate a realistic and practical method to describe the…

Nuclear Theory · Physics 2017-02-23 D. Hove , E. Garrido , A. S. Jensen , P. Sarriguren , H. O. U. Fynbo , D. V. Fedorov , N. T. Zinner

Low-momentum nucleon-nucleon interactions are derived within the framework of a unitary-transformation theory, starting with realistic nucleon-nucleon interactions. A cutoff momentum Lambda is introduced to specify a border between the low-…

Nuclear Theory · Physics 2014-11-18 S. Fujii , E. Epelbaum , H. Kamada , R. Okamoto , K. Suzuki , W. Gloeckle

The ALPHA collaboration aims to determine $\alpha_s(m_Z)$ with a total error below the percent level. A further step towards this goal can be taken by combining results from the recent simulations of 2+1-flavour QCD by the CLS initiative…

High Energy Physics - Lattice · Physics 2015-11-19 Mattia Dalla Brida , Patrick Fritzsch , Tomasz Korzec , Alberto Ramos , Stefan Sint , Rainer Sommer

Excited states in 212Po have been populated by alpha transfer using the 208Pb(18O,14C) reaction at 85MeV beam energy and studied with the EUROBALL IV gamma multidetector array. The level scheme has been extended up to ~ 3.2 MeV excitation…

Nuclear Experiment · Physics 2015-03-14 A. Astier , P. Petkov , M. -G. Porquet , D. S. Delion , P. Schuck

The relativistic Faddeev equation for three-nucleon scattering is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. The equation is solved through Pad\'e summation,…

Nuclear Theory · Physics 2008-11-26 T. Lin , Ch. Elster , W. N. Polyzou , H. Witala , W. Gloeckle

Effective lambda-proton and lambda-neutron potentials, restored from theoretical scattering phases through Gel'fand-Levitan-Marchenko theory, are tested on a lambda hypertriton through three-body calculations. The lambda hypertriton is…

Nuclear Theory · Physics 2020-10-05 Emile Meoto , Mantile Lekala

We evaluate the mass polarization term of the kinetic-energy operator for different three-body nuclear $AAB$ systems by employing the method of Faddeev equations in configuration space. For a three-boson system this term is determined by…

Nuclear Theory · Physics 2018-03-28 I. Filikhin , R. Ya. Kezerashvili , V. M. Suslov , B. Vlahovic

The light double $\Lambda$ hypernuclei, ${}_{\Lambda\Lambda}^{\ \ 4}$H and ${}_{\Lambda\Lambda}^{\ \ 6}$He, are studied as three-body $\Lambda\Lambda d$ and $\Lambda\Lambda\alpha$ cluster systems in halo/cluster effective field theory at…

Nuclear Theory · Physics 2016-05-02 Shung-Ichi Ando

We study theoretically the $BD\bar{D}$ and $BDD$ systems to see if they allow for possible bound or resonant states. The three-body interaction is evaluated implementing the Fixed Center Approximation to the Faddeev equations which…

High Energy Physics - Phenomenology · Physics 2018-05-11 J. M. Dias , V. R. Debastiani , L. Roca , S. Sakai , E. Oset

Properties of intermediate mass nuclei have been investigated within the framework of the alpha-cluster model in combination with systematic double-folding potentials. Previously, this alpha-cluster model has been widely applied to light…

Nuclear Theory · Physics 2008-03-21 Peter Mohr

By means of a technique, which does not employ partial wave (PW) decompositions, the nucleon-deuteron break-up process is evaluated in the Faddeev scheme, where only the leading order term of the amplitude is considered. This technique is…

Nuclear Theory · Physics 2017-08-23 I. Fachruddin , Ch. Elster , W. Gloeckle

The hypernucleus $\nuclide[6][\Lambda\Lambda]{He}$ is studied as a three-body ($\Lambda\Lambda\alpha$) cluster system in cluster effective field theory at leading order. We find that the three-body contact interaction exhibits the limit…

Nuclear Theory · Physics 2014-09-24 Shung-Ichi Ando , Yongseok Oh

Processes involving alpha particles and alpha-like nuclei comprise a major part of stellar nucleosynthesis and hypothesized mechanisms for thermonuclear supernovae. In an effort towards understanding alpha processes from first principles,…

The Faddeev-Yakubovsky equations for the alpha-particle are solved. Accurate results are obtained for several modern NN interaction models, which include charge-symmetry breaking effects in the NN force, nucleon mass dependences as well as…

Nuclear Theory · Physics 2008-11-26 A. Nogga , H. Kamada , W. Gloeckle , B. R. Barrett

Cluster structures of $^{14}$C were investigated with a method of antisymmetrized molecular dynamics (AMD) combined with a $3\alpha+nn$ cluster model while focusing on the monopole excitations and linear-chain $3\alpha$ band. Variation…

Nuclear Theory · Physics 2020-01-29 Yoshiko Kanada-En'yo , Kazuyuki Ogata

The recently developed effective interaction method for the hyperspherical harmonic formalism is extended to noncentral forces. Binding energies and radii of three- and four-body nuclei are calculated with AV6 and AV14 NN potentials.…

Nuclear Theory · Physics 2009-11-07 Nir Barnea , Winfried Leidemann , Giuseppina Orlandini

The relativistic coupled-cluster single-double method is used to calculate the dependence of frequencies of strong $E1$-transitions in many monovalent atoms and ions on the fine-structure constant $\alpha$. These transitions are used in the…

Atomic Physics · Physics 2009-11-13 V. A. Dzuba , W. R. Johnson

Using separable potentials for $\bar{K}N-\pi\Sigma$ interaction, we investigated four-body kaonic nuclear systems such as $K^{-}ppn$ and $K^{-}K^{-}pp$, with the Faddeev AGS method in the momentum representation. The Faddeev calculations…

Nuclear Theory · Physics 2019-04-15 Sajjad Marri , Jafar Esmaili