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The potential splitting approach incorporated into the framework of Faddeev-Merkuriev equations in the differential form is used for calculations of multichannel scattering in $e^-e^+\bar{p}$ and $e^+e^-\mbox{He}^{++}$ systems. Detailed…

Atomic Physics · Physics 2018-10-29 V A Gradusov , V A Roudnev , E A Yarevsky , S L Yakovlev

The 4He3 system is studied using the adiabatic hyperspherical representation. We adopt the current state-of-the-art helium interaction potential including retardation and the nonadditive three-body term, to calculate all low-energy…

Atomic Physics · Physics 2009-11-13 Hiroya Suno , B. D. Esry

Unstable states of the eta meson and the 3He nucleus predicted using the time delay method were found to be in agreement with a recent claim of eta-mesic 3He states made by the TAPS collaboration. Here, we extend this method to a…

Nuclear Theory · Physics 2009-11-11 N. G. Kelkar , K. P. Khemchandani , B. K. Jain

We calculated, using seven realistic 4He-4He potentials in the literature, the Efimov spectra of the 4He trimer and tetramer and analyzed the universality of the systems. The three-(four-)body Schroedinger equations were solved fully…

Quantum Gases · Physics 2014-11-20 E. Hiyama , M. Kamimura

The scattering lengths of eta-meson collisions with light nuclei d,t,3He, and 4He are calculated on the basis of few-body equations in coherent approximation. It is found that the eta-nucleus scattering length depends strongly on the number…

Nuclear Theory · Physics 2009-10-28 S. A. Rakityansky , S. A. Sofianos , V. B. Belyaev , W. Sandhas

It is shown that owing to a dominance of $np-$pair transfer mechanism of backward elastic $p^3He$- scattering for incident proton kinetic energies $T_p>1$ GeV the cross section of this process is defined mainly by the values of the Faddeev…

Nuclear Theory · Physics 2008-11-26 Yu. N. Uzikov

We show the system of a heavy charged particle and a neutral atom can be described by a low-energy effective field theory where the attractive $1/r^4$ induced dipole potential determines the long-distance/low-energy wave functions. The…

Nuclear Theory · Physics 2023-07-26 Daniel Odell , Daniel R. Phillips , Ubirajara van Kolck

We present a precise measurement of the cross section, proton and $\rm ^3He$ analyzing powers, and spin correlation coefficient $C_{y,y}$ for $p$-$\rm ^3He$ elastic scattering near 65 MeV, and a comparison with rigorous four-nucleon…

We predict the presence and positions of purely-long-range bound states of $^4$He$(2s ^3S)+{}^4$He$(2p ^3P)$ near the $2s ^3S_1+2p ^3P_{0,1}$ atomic limits. The results of the full multichannel and approximate models are compared, and we…

Atomic Physics · Physics 2009-11-10 V. Venturi , P. J. Leo , E. Tiesinga , C. J. Williams , I. B. Whittingham

Stimulated by recent indications that the binding energy of the hypertriton could be significantly larger than so far assumed, requirements of a more strongly bound $^3_\Lambda {\rm H}$ state for the hyperon-nucleon interaction and…

Nuclear Theory · Physics 2021-01-20 Hoai Le , Johann Haidenbauer , Ulf-G. Meißner , Andreas Nogga

The four-boson universality suggests the existence of the second excited tetramer state in a system of cold ${}^4\mathrm{He}$ atoms. It is not bound but could be seen as a resonance in the atom-trimer scattering. This process is rigorously…

Quantum Gases · Physics 2026-02-13 A. Deltuva

We analyze the data on the total cross sections for the $dd \to \eta{}^4{\rm He}$ reaction close to threshold and look for possible $\eta ^4 {\rm He}$ bound states. We develop a framework in which the $\eta ^4{\rm He}$ optical potential is…

Nuclear Theory · Physics 2018-08-13 Ju-Jun Xie , Wei-Hong Liang , Eulogio Oset

We study the possibility of existence of bound states for two interacting He-4 atoms. It is shown that for some potentials, there exist not only discrete levels but also bands akin to those in the Kronig--Penney model.

Soft Condensed Matter · Physics 2007-05-23 Stefan V. Mashkevich , Stanislav I. Vilchynskyy

We explore the relationships between scattering states and bound states of different non-analytic segments (depending on $|x|$) of the exponential potential, and elucidate the status of the special scattering states found in an earlier…

Quantum Physics · Physics 2021-02-12 Zafar Ahmed , H F Jones

We report results for the ground-state energy and structural properties of small $^4$He-T$\downarrow$ clusters consisting of up to 4 T$\downarrow$ and 8 $^4$He atoms. These results have been obtained using very well-known $^4$He-$^4$He and…

Mesoscale and Nanoscale Physics · Physics 2016-08-14 P. Stipanović , L. Vranješ Markić , J. Boronat , B. Kežić

We carry out a model study on two-atom interactions and bound states in quasi-two dimensional traps. The interactions are modeled by two-parameter potentials with parameters being the range $r_0$ and the $s$-wave scattering length $a_s$. We…

Atomic Physics · Physics 2015-04-10 Partha Goswami , Arpita Rakshit , Bimalendu Deb

We prove dynamical dichotomy into scattering and blow-up (in a weak sense) for all radial solutions of the Zakharov system in the energy space of four spatial dimensions that have less energy than the ground state, which is written using…

Analysis of PDEs · Mathematics 2018-10-16 Zihua Guo , Kenji Nakanishi

The folding model analysis of the elastic $\alpha + \alpha$ scattering at the incident energies below the reaction threshold of 34.7 MeV (in the lab system) has been done using the well-tested density dependent versions of the M3Y…

Nuclear Theory · Physics 2014-03-14 Ngo Hai Tan , Nguyen Hoang Phuc , Dao T. Khoa

We study few-body problems in mixed dimensions with $N \ge 2$ heavy atoms trapped individually in parallel one-dimensional tubes or two-dimensional disks, and a single light atom travels freely in three dimensions. By using the…

Quantum Gases · Physics 2015-03-19 Tao Yin , Peng Zhang , Wei Zhang

Few-body systems with large scattering length a have universal properties that do not depend on the details of their interactions at short distances. The rate constant for three-body recombination of bosonic atoms of mass m into a shallow…

Other Condensed Matter · Physics 2008-11-26 H. -W. Hammer , Timo A. Lahde , L. Platter