LARGE ATOMIC AND NUCLEAR THREE-BODY SYSTEMS: SCATTERING AND BINDING

The universal character of non-relativistic large three-body bosonic systems is addressed, with focus on highly interesting situations that occur in low-energy nuclear and atomic physics. Investigations on the trajectory of the first excited Efimov state, in a renormalized zero-range three-body model for a system with two bound and one virtual two-body subsystems, are reported. The approach is applied to n-n-18C, where the n - n virtual energy and the three-body ground state are kept fixed. It is shown that the real part of the elastic s-wave phase-shift ([Formula: see text]) presents a zero, or a pole in [Formula: see text], when the system has an Efimov excited or virtual state. A brief discussion is given on the relevance of the approach for ultracold atom physics with tunable scattering lengths.

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Exploring two-neutron halo formation in the ground state of F29 within a three-body model

Physical Review C ◽

10.1103/physrevc.101.024310 ◽

2020 ◽

Vol 101 (2) ◽

Cited By ~ 6

Author(s):

Jagjit Singh ◽

J. Casal ◽

W. Horiuchi ◽

L. Fortunato ◽

A. Vitturi

Keyword(s):

Ground State ◽

Neutron Halo ◽

Halo Formation ◽

Body Model ◽

Three Body

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DINEUTRON CORRELATION IN THE GROUND STATE AND E1 EXCITATIONS OF BORROMEAN NUCLEI

Modern Physics Letters A ◽

10.1142/s0217732310000459 ◽

2010 ◽

Vol 25 (21n23) ◽

pp. 1842-1845

Author(s):

K. HAGINO ◽

H. SAGAWA ◽

T. OISHI

Keyword(s):

Contact Interaction ◽

Ground State ◽

Energy Distributions ◽

Weakly Bound ◽

Density Dependent ◽

Body Model ◽

Dipole Excitation ◽

Ground State Properties ◽

Three Body

Using a three-body model with density-dependent contact interaction, we discuss the role of dineutron correlation in the ground state properties as well as in the dipole excitation of typical weakly-bound Borromean nuclei, 11 Li and 6 He . We show that, while both the nuclei manifest themselves similar strong dineutron correlations to each other in the ground state, the energy distributions for the two emitted neutrons from the dipole excitation are considerably different. We also discuss briefly the diproton correlation in a proton-rich Borromean nucleus, 17 Ne .

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Ground state structure of some double-λ hypernuclei by a three-body model using a simple coordinate space approach

Pramana ◽

10.1007/bf02704285 ◽

2003 ◽

Vol 60 (6) ◽

pp. 1179-1185 ◽

Cited By ~ 1

Author(s):

S. Mahapatra ◽

J. Nag

Keyword(s):

Ground State ◽

Coordinate Space ◽

Ground State Structure ◽

State Structure ◽

Body Model ◽

Three Body ◽

Space Approach

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EXCEPTIONAL STRUCTURES IN THE ODD-ODD NUCLEUS 250Md

International Journal of Modern Physics E ◽

10.1142/s0218301300000258 ◽

2000 ◽

Vol 09 (04) ◽

pp. 309-317 ◽

Cited By ~ 5

Author(s):

P. C. SOOD ◽

M. SAINATH ◽

K. VENKATARAMANIAH

Keyword(s):

Rare Earth ◽

Energy Spectrum ◽

Ground State ◽

Low Energy ◽

Α Decay ◽

Decay Modes ◽

Proton Interaction ◽

Zero Range ◽

Singlet Band ◽

Rare Earth Nucleus

The low-energy two-quasiparticle bandhead energies for the odd-odd Z=101 nucleus 250 Md are evaluated using a zero range residual neutron-proton interaction. The 250Md ground state is seen to have the spin-parity Iπ=0- corresponding to the singlet band from the configuration {p : 7/2[514]⊗n:7/2[624]} in violation of the Gallagher-Moszkowski (GM) coupling rule. The situation here is shown to be almost identical to that for the rare-earth nucleus 166 Ho , which is the only well-established exception to the GM rule known so far. Analysis of the expected low energy spectrum, including the rotational levels, for 250 Md reveals the occurrence of an as-yet-unobserved long-lived high-spin Iπ = 7- isomeric state around (80±30) keV with dominant ε and α decay modes.

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Asymmetric Lineshapes of Efimov Resonances in Mass-Imbalanced Ultracold Gases

Atoms ◽

10.3390/atoms9040110 ◽

2021 ◽

Vol 9 (4) ◽

pp. 110

Author(s):

Panagiotis Giannakeas ◽

Chris H. Greene

Keyword(s):

Asymmetry Parameter ◽

Classical Method ◽

Closed Form Expression ◽

Ultracold Gases ◽

Energy Limit ◽

Reversal Effect ◽

Zero Range ◽

Scattering Lengths ◽

Three Body ◽

Body Recombination

The resonant profile of the rate coefficient for three-body recombination into a shallow dimer is investigated for mass-imbalanced systems. In the low-energy limit, three atoms collide with zero-range interactions, in a regime where the scattering lengths of the heavy–heavy and the heavy–light subsystems are positive and negative, respectively. For this physical system, the adiabatic hyperspherical representation is combined with a fully semi-classical method and we show that the shallow dimer recombination spectra display an asymmetric lineshape that originates from the coexistence of Efimov resonances with Stückelberg interference minima. These asymmetric lineshapes are quantified utilizing the Fano profile formula. In particular, a closed-form expression is derived that describes the width of the corresponding Efimov resonances and the Fano lineshape asymmetry parameter q. The profile of Efimov resonances exhibits a q-reversal effect as the inter- and intra-species scattering lengths vary. In the case of a diverging asymmetry parameter, i.e., |q|→∞, we show that the Efimov resonances possess zero width and are fully decoupled from the three-body and atom–dimer continua, and the corresponding Efimov metastable states behave as bound levels.

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A THREE-BODY MODEL ON NEUTRON HALO IN EXOTIC LIGHT NUCLEI

Modern Physics Letters A ◽

10.1142/s0217732303010193 ◽

2003 ◽

Vol 18 (02n06) ◽

pp. 174-177 ◽

Cited By ~ 2

Author(s):

ZHONGZHOU REN ◽

NING LI ◽

H. Y. ZHANG ◽

W. Q. SHEN

Keyword(s):

Ground State ◽

Good Explanation ◽

Light Nuclei ◽

Halo Nuclei ◽

Neutron Halo ◽

Body Interaction ◽

Body Model ◽

Ground State Properties ◽

Three Body

The three-body calculations on halo nuclei are reviewed and discussed. It is concluded that the ground state properties of halo nuclei 11 Li , 14 Be and 17 B are independent of the shape of two-body potentials and an explanation on it is given. It is also shown that an introduction of a three-body interaction may be useful for a good explanation of the properties of halo nuclei.

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Low Energy Reactions of Halo Nuclei in a Three-Body Model

Progress of Theoretical Physics ◽

10.1143/ptp.97.437 ◽

1997 ◽

Vol 97 (3) ◽

pp. 437-450 ◽

Cited By ~ 42

Author(s):

K. Yabana

Keyword(s):

Low Energy ◽

Halo Nuclei ◽

Body Model ◽

Three Body

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ELECTRIC DIPOLE POLARIZABILITIES OF THE TRITON AND LAMBDA HYPERTRITON

International Journal of Modern Physics E ◽

10.1142/s0218301310014625 ◽

2010 ◽

Vol 19 (02) ◽

pp. 225-242 ◽

Cited By ~ 3

Author(s):

V. F. KHARCHENKO ◽

A. V. KHARCHENKO

Keyword(s):

Experimental Data ◽

Wave Function ◽

Electric Dipole ◽

Ground State ◽

Input Data ◽

Low Energy ◽

Dipole Polarizability ◽

Order Of Magnitude ◽

Three Body ◽

Dipole Polarizabilities

A rigorous formalism for determining the electric dipole polarizability of a three-hadron bound complex in the case that the system has only one bound (ground) state has been elaborated. On its basis, by applying a model wave function that takes into account specific features of the structure of the three-body nuclei and using the known low-energy experimental data for the p–n, n–d, and Λ–d systems as input data, we have calculated the values of the electric dipole polarizabilities of the triton αE(3 H ) and lambda hypertriton [Formula: see text]. We have obtained for the triton polarizability the value 0.23 fm3. It follows from our study that the polarizability of the lambda hypertriton is close to 3 fm3 exceeding the polarizabilities of the ordinary three-nucleon nuclei by an order of magnitude.

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