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1

Vaagen, J. S., D. K. Gridnev, H. Heiberg-Andersen, B. V. Danilin, S. N. Ershov, V. I. Zagrebaev, I. J. Thompson, M. V. Zhukov, and J. M. Bang. "Borromean Halo Nuclei." Physica Scripta T88, no. 1 (2000): 209. http://dx.doi.org/10.1238/physica.topical.088a00209.

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2

Hussein, M. S., B. V. Carlson, and T. Frederico. "Inclusive breakup of Borromean nuclei." Journal of Physics: Conference Series 863 (June 2017): 012035. http://dx.doi.org/10.1088/1742-6596/863/1/012035.

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3

Bertsch, G. F., K. Hencken, and H. Esbensen. "Nuclear breakup of Borromean nuclei." Physical Review C 57, no. 3 (March 1, 1998): 1366–77. http://dx.doi.org/10.1103/physrevc.57.1366.

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4

Garrido, E., D. V. Fedorov, and A. S. Jensen. "Borromean nuclei and three-body resonances." European Physical Journal A 25, S1 (August 11, 2005): 323–24. http://dx.doi.org/10.1140/epjad/i2005-06-152-7.

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5

HATEGAN, CORNEL, REMUS AMILCAR IONESCU, and HERMANN H. WOLTER. "THE BOUNDARY CONDITION MODEL APPROACH TO BORROMEAN NUCLEI." Modern Physics Letters A 22, no. 20 (June 28, 2007): 1469–79. http://dx.doi.org/10.1142/s021773230702381x.

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Three-body systems are studied in the framework of the Boundary Condition Model, in which the relevant interactions are expressed in terms of the scattering lengths of the two-body subsystems. We demonstrate explicitly the role of resonant states in the two-body subsystems and of multiple scattering between the constituents in producing a weakly bound three-body system, i.e. a Borromean nucleus. We obtain qualitative relations between the spatial extension of the three-body bound state, its energy, and the scattering lengths in the subsystems. The results are compared with experimental data for the Borromean nucleus 11 Li and 14 Be .
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6

YAMASHITA, M. T., T. FREDERICO, and M. H. HUSSEIN. "A DOORWAY TO BORROMEAN HALO NUCLEI: THE SAMBA CONFIGURATION." Modern Physics Letters A 21, no. 22 (July 20, 2006): 1749–55. http://dx.doi.org/10.1142/s0217732306020056.

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We exploit the possibility of new configurations in three-body halo nuclei, Samba type (the neutron-core form a bound system) as a doorway to Borromean systems. The nuclei 12 Be , 15 B , 23 N and 27 F are of such nature, in particular 23 N with a half-life of 37.7 s and a halo radius of 6.07 fm is an excellent example of Samba-halo configuration. The fusion below the barrier of the Samba halo nuclei with heavy targets could reveal the so far elusive enhancement and a dominance of one-neutron over two-neutron transfers, in contrast to what was found recently for the Borromean halo nucleus 6 He +238 U .
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7

HAGINO, K., H. SAGAWA, and T. OISHI. "DINEUTRON CORRELATION IN THE GROUND STATE AND E1 EXCITATIONS OF BORROMEAN NUCLEI." Modern Physics Letters A 25, no. 21n23 (July 30, 2010): 1842–45. http://dx.doi.org/10.1142/s0217732310000459.

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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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8

Bang, J. M., B. V. Danilin, V. D. Efros, J. S. Vaagen, M. V. Zhukov, and I. J. Thompson. "Few-body aspects of Borromean halo nuclei." Physics Reports 264, no. 1-5 (January 1996): 27–37. http://dx.doi.org/10.1016/0370-1573(95)00024-0.

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9

Danilin, B. D., I. J. Thompson, M. V. Zhukov, and J. S. Vaagen. "Few-body cluster models for Borromean halo nuclei." Physics of Atomic Nuclei 64, no. 7 (July 2001): 1215–22. http://dx.doi.org/10.1134/1.1389545.

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10

Kamada, H., J. Furuya, M. Yamaguchi, and E. Uzu. "Core-Excitation Three-Cluster Model of Borromean Nuclei." Few-Body Systems 55, no. 8-10 (January 17, 2014): 935–39. http://dx.doi.org/10.1007/s00601-013-0799-6.

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11

Jensen, A. S., K. Riisager, and D. V. Fedorov. "Are nuclear halos or Borromean nuclei important in astrophysics?" Nuclear Physics A 688, no. 1-2 (May 2001): 563–65. http://dx.doi.org/10.1016/s0375-9474(01)00788-6.

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12

VAAGEN, J. S., B. V. DANILIN, and S. N. ERSHOV. "CONTINUUM SPECTROSCOPY OF HALO NUCLEI." International Journal of Modern Physics E 16, no. 04 (May 2007): 1033–45. http://dx.doi.org/10.1142/s0218301307006484.

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Halo nuclei represent a new type of structure found in extremely neutron rich light nuclei, at the limits of nuclear existence. Of particular interest are Borromean nuclei, where none of the binary substructures can bind. Similar structures, Efimov states, have now also been produced in traps in molecular physics. Nuclear physics has in recent years taken further steps to also explore the nature of the halo continuum, in fact the major part of the spectrum since halo nuclei support only one or a few bound states. Since 3 → 3 scattering is prohibitively difficult to perform, the halo continuum has so far been excited in binary collisions, proceeding via the exotic ground state which to various degrees puts its imprint on the result. Below we discuss via examples how to disentangle continuum structures, comparing with recent correlation data. The work involves a consistent treatment of halo structure and reaction theory, and emphasizes the important future role of exclusive observables and complete experiments.
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13

Izosimov, Igor. "Borromean halo, Tango halo, and halo isomers in atomic nuclei." EPJ Web of Conferences 107 (2016): 09003. http://dx.doi.org/10.1051/epjconf/201610709003.

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14

Hagino, K., and H. Sagawa. "Two-particle correlations in continuum dipole transitions in Borromean nuclei." Journal of Physics: Conference Series 321 (September 16, 2011): 012003. http://dx.doi.org/10.1088/1742-6596/321/1/012003.

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15

Aksyutina, Yu, T. Aumann, K. Boretzky, M. J. G. Borge, C. Caesar, A. Chatillon, L. V. Chulkov, et al. "Momentum profile analysis in one-neutron knockout from Borromean nuclei." Physics Letters B 718, no. 4-5 (January 2013): 1309–13. http://dx.doi.org/10.1016/j.physletb.2012.12.028.

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16

Zhukov, M. V., B. V. Danilin, D. V. Fedorov, J. M. Bang, I. J. Thompson, and J. S. Vaagen. "Bound state properties of Borromean halo nuclei: 6He and 11Li." Physics Reports 231, no. 4 (August 1993): 151–99. http://dx.doi.org/10.1016/0370-1573(93)90141-y.

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17

Cobis, A., D. V. Fedorov, and A. S. Jensen. "Three-body halos. V. Computations of continuum spectra for Borromean nuclei." Physical Review C 58, no. 3 (September 1, 1998): 1403–21. http://dx.doi.org/10.1103/physrevc.58.1403.

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18

Izosimov, I. N. "Isospin in halo nuclei: Borromean halo, tango halo, and halo isomers." Physics of Atomic Nuclei 80, no. 5 (September 2017): 867–76. http://dx.doi.org/10.1134/s1063778817050118.

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19

Liu, Long-Xiang, Zhi-Yu Sun, Ke Yue, Guo-Qing Xiao, Xi-Meng Chen, Yu-Hong Yu, Xue-Heng Zhang, et al. "Study of Borromean halo nuclei by the neutron wall with simulation." Chinese Physics C 37, no. 11 (November 2013): 116202. http://dx.doi.org/10.1088/1674-1137/37/11/116202.

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20

Chulkov, L. V., H. Simon, I. J. Thompson, T. Aumann, M. J. G. Borge, Th W. Elze, H. Emling, et al. "Three-body correlations in electromagnetic dissociation of Borromean nuclei: The 6He case." Nuclear Physics A 759, no. 1-2 (September 2005): 23–42. http://dx.doi.org/10.1016/j.nuclphysa.2005.05.001.

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21

Petrascu, M., A. Constantinescu, I. Cruceru, M. Duma, M. Giurgiu, A. Isbasescu, H. Petrascu, et al. "Experimental state of n-n correlation function for Borromean halo nuclei investigation." Nuclear Physics A 790, no. 1-4 (June 2007): 235c—240c. http://dx.doi.org/10.1016/j.nuclphysa.2007.03.150.

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22

Id Betan, R. M. "Cooper pairs in the Borromean nuclei 6He and 11Li using continuum single particle level density." Nuclear Physics A 959 (March 2017): 147–60. http://dx.doi.org/10.1016/j.nuclphysa.2017.01.004.

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23

Kikuchi, Yuma, Kazuyuki Ogata, Yuki Kubota, Masaki Sasano, and Tomohiro Uesaka. "Determination of a dineutron correlation in Borromean nuclei via a quasi-free knockout (p,pn) reaction." Progress of Theoretical and Experimental Physics 2016, no. 10 (October 2016): 103D03. http://dx.doi.org/10.1093/ptep/ptw148.

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24

Gómez-Ramos, M., J. Casal, and A. M. Moro. "Linking structure and dynamics in ( p , pn ) reactions with Borromean nuclei: The 11 Li( p , pn ) 10 Li case." Physics Letters B 772 (September 2017): 115–20. http://dx.doi.org/10.1016/j.physletb.2017.06.023.

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25

Wang, Ziyue, Shao-Jian Jiang, and Yin Jiang. "Relativistic Borromean states *." Chinese Physics C 45, no. 4 (April 1, 2021): 041006. http://dx.doi.org/10.1088/1674-1137/abe197.

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26

Garrido, E., D. V. Fedorov, and A. S. Jensen. "Origin of Borromean systems." Physics Letters B 600, no. 3-4 (October 2004): 208–14. http://dx.doi.org/10.1016/j.physletb.2004.06.112.

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27

Lemasson, A., A. Navin, M. Rejmund, N. Keeley, V. Zelevinsky, S. Bhattacharyya, A. Shrivastava, et al. "Pair and single neutron transfer with Borromean 8He." Physics Letters B 697, no. 5 (March 2011): 454–58. http://dx.doi.org/10.1016/j.physletb.2011.02.038.

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28

Segovia, Jorge, Craig D. Roberts, and Sebastian M. Schmidt. "Understanding the nucleon as a Borromean bound-state." Physics Letters B 750 (November 2015): 100–106. http://dx.doi.org/10.1016/j.physletb.2015.08.042.

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29

Cobis, A., D. V. Fedorov, and A. S. Jensen. "The continuum structure of the Borromean halo nucleus 11Li." Physics Letters B 424, no. 1-2 (April 1998): 1–7. http://dx.doi.org/10.1016/s0370-2693(98)00217-2.

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30

Pinto, Fabrizio. "Efimov physics in curved spacetime: Field fluctuations and exotic matter." International Journal of Modern Physics D 27, no. 14 (October 2018): 1847001. http://dx.doi.org/10.1142/s0218271818470016.

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Several experimental detections have demonstrated the existence of Borromean states predicted by Vitaly Efimov within a nuclear physics context, that is, trimers bound despite the absence of bound states of any of the two-body subsystems. I show that novel Efimov Physics is expected in gravitationally polarizable nonbaryonic dark matter beyond the Standard Model with van der Waals-like forces driven by quantum gravitational fluctuations. I also discuss ground and space-based tests of spacetime curvature effects on weakly bound, highly diffuse quantum three-body systems with standard electrodynamical van der Waals forces. Finally, I consider exotic gravitational quantum matter from higher-order Brunnian structures and analogies with classical systems, already proven in three-stranded DNA, driven by the stochastic gravitational wave background.
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31

Fei, Lu, Hua Hui, Ye Yan-Lin, Li Zhi-Huan, Jiang Dong-Xing, Ma Li-Ying, Ge Yu-Cheng, et al. "Study of the structure of borromean nucleus 17 Ne." Chinese Physics C 33, S1 (March 2009): 170–72. http://dx.doi.org/10.1088/1674-1137/33/s1/054.

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32

Kar, Sabyasachi, Yu-Shu Wang, Yang Wang, and Yew Kam Ho. "Critical Stability of the Negatively Charged Positronium-Like Ions with Yukawa Potentials and Varying Z." Atoms 7, no. 2 (June 3, 2019): 53. http://dx.doi.org/10.3390/atoms7020053.

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The question of stability of a given quantum system made up of charged particles is of fundamental interest in atomic, molecular, and nuclear physics. In this work, the stability for the negatively charged positronium (Ps)-like ions or the three-body system ( Z e + , e − , e − ) with Yukawa potentials is studied using correlated exponential wavefunctions based on the Ritz variational method. We obtained the critical screening parameter μ C as a function of the continuously varied nuclear charge Z , the critical nuclear charge Z C as a function of the screening parameter μ , and the ionization energies in terms of the screening parameter μ and Z . The critical nuclear charge for the bare Coulomb system ( Z e + , e − , e − ) obtained using 700-term correlated exponential wavefunctions is in accord with the reported results. The ionization energy, μ C , and Z C for the Yukawa system ( Z e + , e − , e − ) exhibit interesting behaviors. The present study describes the possible nonexistence of Borromean binding as well as Efimov states. The possible existence of quasi-bound resonances states for the negatively charged screened Ps-like ions is briefly discussed.
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33

Ma, Y. Z., F. R. Xu, N. Michel, S. Zhang, J. G. Li, B. S. Hu, L. Coraggio, N. Itaco, and A. Gargano. "Continuum and three-nucleon force in Borromean system: The 17Ne case." Physics Letters B 808 (September 2020): 135673. http://dx.doi.org/10.1016/j.physletb.2020.135673.

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34

RODRÍGUEZ-GALLARDO, M., and A. M. MORO. "FOUR-BODY CONTINUUM-DISCRETIZED COUPLED-CHANNEL CALCULATIONS APPLIED TO 6He REACTIONS AROUND THE COULOMB BARRIER." International Journal of Modern Physics E 20, no. 04 (April 2011): 947–52. http://dx.doi.org/10.1142/s0218301311019039.

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The scattering of a weakly bound three-body system by a target is studied within the four-body continuum-discretized coupled-channels (4b-CDCC) framework. Two different methods, the transformed harmonic oscillator (THO) method and the binning procedure, are used for discretizing the three-body continuum. The formalism is applied to different reactions induced by the Borromean nucleus 6 He at energies around the Coulomb barrier: 6 He +64 Zn at 13.6 MeV, 6 He +120 Sn at 17.4 MeV, and 6 He +208 Pb at 22 MeV. Elastic cross section distributions are presented for these reactions comparing both discretization methods, THO and binning, as the mass of the target increases.
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35

Cowley, A. A. "Simplistic distorted-wave Born approximation interpretation of the 11Li(p,t)9Li reaction." International Journal of Modern Physics E 28, no. 07 (July 2019): 1950050. http://dx.doi.org/10.1142/s0218301319500502.

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The reaction [Formula: see text]Li([Formula: see text])9Li(gs) at an incident energy of 4.3[Formula: see text]MeV is interpreted in terms of a simplistic distorted-wave Born approximation, which assumes simultaneous transfer of the halo neutrons. The halo neutrons involved in the reaction is treated as either a di-neutron cluster or individual entities. Either of these approaches appears to be a good approximation of the reaction mechanism, as would be expected from earlier studies. The dominant contribution to the yield of the reaction comes from the known (2[Formula: see text])2 neutron structure component of the ground state of [Formula: see text]Li. Furthermore, the cross-section angular distribution seems to be relatively insensitive to the fact that [Formula: see text]Li has an anomalously large radius due to its Borromean halo properties. Significantly this simple treatment of the reaction is in much better agreement with the experimental angular distribution than previous sophisticated calculations. The relevance and limitations of a more advanced theoretical treatment which includes coupled channel and sequential transfer are discussed in the context of the present results.
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36

Bertulani, C. A., and M. S. Hussein. "Geometry of Borromean halo nuclei." Physical Review C 76, no. 5 (November 27, 2007). http://dx.doi.org/10.1103/physrevc.76.051602.

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37

Hove, D., D. V. Fedorov, H. O. U. Fynbo, A. S. Jensen, K. Riisager, N. T. Zinner, and E. Garrido. "Borromean structures in medium-heavy nuclei." Physical Review C 90, no. 6 (December 12, 2014). http://dx.doi.org/10.1103/physrevc.90.064311.

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38

Marqués, F. M., M. Labiche, N. A. Orr, J. C. Angélique, L. Axelsson, B. Benoit, U. C. Bergmann, et al. "Three-body correlations in Borromean halo nuclei." Physical Review C 64, no. 6 (November 5, 2001). http://dx.doi.org/10.1103/physrevc.64.061301.

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39

Hagino, K., and H. Sagawa. "Dipole excitation and geometry of Borromean nuclei." Physical Review C 76, no. 4 (October 2, 2007). http://dx.doi.org/10.1103/physrevc.76.047302.

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40

Yamagami, Masayuki. "Momentum-space structure of dineutrons in Borromean nuclei." Physical Review C 106, no. 4 (October 17, 2022). http://dx.doi.org/10.1103/physrevc.106.044316.

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41

Delfino, A., T. Frederico, M. S. Hussein, and Lauro Tomio. "Virtual states of light non-Borromean halo nuclei." Physical Review C 61, no. 5 (March 30, 2000). http://dx.doi.org/10.1103/physrevc.61.051301.

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42

Ershov, S. N., B. V. Danilin, and J. S. Vaagen. "Continuum spectroscopy of Borromean two-neutron halo nuclei." Physical Review C 74, no. 1 (July 11, 2006). http://dx.doi.org/10.1103/physrevc.74.014603.

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43

Danilin, B. V., T. Rogde, J. S. Vaagen, I. J. Thompson, and M. V. Zhukov. "Three-body continuum spatial correlations in Borromean halo nuclei." Physical Review C 69, no. 2 (February 26, 2004). http://dx.doi.org/10.1103/physrevc.69.024609.

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44

Danilin, B. V., S. N. Ershov, and J. S. Vaagen. "Charge and matter radii of Borromean halo nuclei: TheHe6nucleus." Physical Review C 71, no. 5 (May 11, 2005). http://dx.doi.org/10.1103/physrevc.71.057301.

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45

Cárdenas, W. H. Z., L. F. Canto, and M. S. Hussein. "Low-energy transfer cross section for Borromean halo nuclei." Physical Review C 73, no. 4 (April 28, 2006). http://dx.doi.org/10.1103/physrevc.73.047603.

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46

Hagino, K., H. Sagawa, T. Nakamura, and S. Shimoura. "Two-particle correlations in continuum dipole transitions in Borromean nuclei." Physical Review C 80, no. 3 (September 14, 2009). http://dx.doi.org/10.1103/physrevc.80.031301.

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47

Danilin, B. V., J. S. Vaagen, T. Rogde, S. N. Ershov, I. J. Thompson, and M. V. Zhukov. "Three-body continuum energy correlations in Borromean halo nuclei. II." Physical Review C 73, no. 5 (May 4, 2006). http://dx.doi.org/10.1103/physrevc.73.054002.

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48

Mondal, Santanu, Anjan Sadhukhan, Tapan K. Mukhopadhyay, Mariusz Pawlak, and Jayanta K. Saha. "Structural analysis of the ro-vibrational states of screened hydrogen molecular ion H2 + in the regime of Borromean binding." Physica Scripta, November 29, 2022. http://dx.doi.org/10.1088/1402-4896/aca729.

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Abstract A detailed analysis on the structural properties of first three ro-vibrational (J=0,\nu=0,1,2; J and \nu being the rotational and vibrational quantum numbers, respectively) states of H_2^+ ion bound via screened Coulomb interaction has been reported. Generalized Hylleraas type basis set has been considered to construct the trial wave function under the Ritz variational framework. In order to incorporate the localized relative motion of the protons (or nuclei), we have used high powers of the interprotonic (or internuclear) distance in the basis set. The Borromean binding regime or the Borromean window (BW) has been identified for the said three states of H_2^+ ion. The energy components contributing to the total energy are estimated as a parametric function of the screening parameter. Different geometrical entities e.g. radial moments \langle r_i^p \rangle (p=-1,1 and 2), angular moments \langle \cos \theta_i \rangle [(i)=(1) or (12)], expectation value of the delta function \delta(\vec{r}_1) as well as the one-particle density are determined to get a clear view of the structural behaviour of H_2^+ ion in its ground state as well as in the excited states, specially within the BW.
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49

Lapoux, Valérie, and Nicolas Alamanos. "Weakly bound Borromean structures of the exotic 6,8He nuclei through direct reactions on proton." European Physical Journal A 51, no. 7 (July 2015). http://dx.doi.org/10.1140/epja/i2015-15091-2.

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50

Danilin, B. V., J. S. Vaagen, T. Rogde, S. N. Ershov, I. J. Thompson, and M. V. Zhukov. "Three-body continuum energy correlations in Borromean halo nuclei. III. Short-range external fields." Physical Review C 76, no. 6 (December 28, 2007). http://dx.doi.org/10.1103/physrevc.76.064612.

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