Selected Papers from the International Symposium Commemorating the 40th Anniversary of Halo Nuclei

A special issue of Particles (ISSN 2571-712X). This special issue belongs to the section "Nuclear and Hadronic Theory".

Deadline for manuscript submissions: closed (31 March 2026) | Viewed by 6223

Special Issue Editors

China Institute of Atomic Energy, Beijing 102413, China
Interests: nuclear physics; experimental physics

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Guest Editor
School of Physics, Beihang University, Beijing 100191, China
Interests: nuclear physics; experimental physics; astrophysics

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Guest Editor
China Institute of Atomic Energy, Beijing 102413, China
Interests: heavy-ion collisions; theoretical nuclear physics
Special Issues, Collections and Topics in MDPI journals

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Guest Editor
School of Physics, Peking University, Beijing 100871, China
Interests: nuclear structure and dynamics; particle physics
China Institute of Atomic Energy, Beijing 102413, China
Interests: nuclear physics

Special Issue Information

Dear Colleagues,

The Special Issue will host selected papers from the International Symposium Commemorating the 40th Anniversary of the Halo Nuclei, which will be held in Beijing, China, from Oct 12 to Oct 16 2025 (https://indico.pku.edu.cn/event/42/overview). The Article Processing Charge (APC) for submissions from the workshop will be waived, and publication will be free of charge.

Dr. Bing Guo
Prof. Dr. Baohua Sun
Prof. Dr. Yingxun Zhang
Dr. Pengwei Zhao
Dr. Qiang Zhao
Guest Editors

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Keywords

  • halo nuclei
  • nuclear structures approaching the dripline
  • reaction dynamics for exotic nuclei
  • advanced nuclear models for exotic nuclei
  • interdisciplinary frontiers related to exotic nuclei
  • facility and instruments for exotic nuclei

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Published Papers (13 papers)

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Research

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15 pages, 2970 KB  
Article
Effects of Isovector Spin–Orbit Interaction on the Charge-Weak Form Factor Difference in 48Ca, 208Pb, 90Zr and 62Ni
by Tong-Gang Yue, Zhen Zhang and Lie-Wen Chen
Particles 2026, 9(2), 54; https://doi.org/10.3390/particles9020054 (registering DOI) - 12 May 2026
Abstract
The nucleon spin–orbit interaction is a cornerstone of nuclear structure theory, yet its isospin dependence remains insufficiently constrained within modern nuclear energy density functional (EDF) theory. It was recently shown that, within the framework of extended Skyrme EDFs, the charge-weak form factor difference [...] Read more.
The nucleon spin–orbit interaction is a cornerstone of nuclear structure theory, yet its isospin dependence remains insufficiently constrained within modern nuclear energy density functional (EDF) theory. It was recently shown that, within the framework of extended Skyrme EDFs, the charge-weak form factor difference ΔFCW in 48Ca exhibits remarkable sensitivity to the effective isovector spin–orbit (IVSO) interaction, whereas ΔFCW in 208Pb is much less sensitive to this channel. Extending this analysis to other nuclei, we find that 90Zr, with its ten spin–orbit unpaired 1g9/2 neutrons, displays a ΔFCW sensitivity to the IVSO strength similar to that of 48Ca, arising from modifications to the central mean-field potential rather than the one-body spin–orbit potential. In contrast, 62Ni, like 208Pb, remains largely insensitive to the IVSO interaction. This structure-driven distinction suggests an experimental strategy: future parity-violating electron scattering measurements, e.g., the MREX experiment at the MESA facility, on 48Ca and 90Zr would help constrain the effective IVSO strength, while measurements on 208Pb and 62Ni can provide a cleaner probe of the density dependence of the symmetry energy with reduced IVSO sensitivity. Full article
13 pages, 1547 KB  
Article
Lifetime Measurements—A Powerful Tool to Study Nuclear Structure
by Dimitar Tonev, Galina D. Dimitrova, Anguel Demerdjiev, Giovanni De Gregorio, Giacomo de Angelis, Elena Geleva, Nikolay Goutev, Nikolay N. Petrov, Ivaylo Pantaleev and Lilianna Panteleev-Simeonova
Particles 2026, 9(2), 47; https://doi.org/10.3390/particles9020047 - 1 May 2026
Viewed by 256
Abstract
Advanced Doppler-shift methods for the calculation of the γ-ray lineshape registered in recoil-distance Doppler-shift and Doppler-shift attenuation methods are presented, emphasizing the case using a gate set on the shifted part of a direct feeding transition. For the precise description of the γ-ray [...] Read more.
Advanced Doppler-shift methods for the calculation of the γ-ray lineshape registered in recoil-distance Doppler-shift and Doppler-shift attenuation methods are presented, emphasizing the case using a gate set on the shifted part of a direct feeding transition. For the precise description of the γ-ray lineshape, the process of evaporation of light particles from the compound nucleus has to be taken into account in the case of heavy ion-induced fusion-evaporation reactions. In addition, the impact of different approaches for calculating stopping powers is investigated in the process of the lifetime determinations. In the RDDS experiments, the γ-emission during the slowing down in the stopper is discussed in detail. Applications of the new procedures are demonstrated in two experiments: the first one is a plunger experiment performed in order to check for chirality in the 134Pr nucleus and the second one is a DSAM experiment conducted to test the isospin symmetry in 31P and 31S mirror nuclei. Full article
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15 pages, 972 KB  
Article
β Decay of 20Na
by Qiang Wang, You-Bao Wang, Jun Su, Zhi-Yu Han, B. Alex Brown, Li-Hua Chen, Zi-Qiang Chen, Bao-Qun Cui, Bo Dai, Tao Ge, Xin-Yue Li, Yun-Ju Li, Zhi-Hong Li, Gang Lian, Yin-Long Lyu, Rui-Gang Ma, Tian-Li Ma, Xie Ma, Ying-Jun Ma, Yi Su, Bing Tang, Chun-Guang Wang, Hong-Yi Wu, Fu-Rong Xu, Sheng-Quan Yan, Sheng Zeng, Hao Zhang, Yun Zheng, Chao Zhou, Yang-Ping Shen, Bing Guo, Tian-Jue Zhang and Wei-Ping Liuadd Show full author list remove Hide full author list
Particles 2026, 9(2), 40; https://doi.org/10.3390/particles9020040 - 17 Apr 2026
Viewed by 341
Abstract
20Na is a well-known β-delayed α emitter, owing to the large decay energy of 20Na above the α + 16O threshold in the A=5α daughter nucleus 20Ne. In this work, the decay property of 20 [...] Read more.
20Na is a well-known β-delayed α emitter, owing to the large decay energy of 20Na above the α + 16O threshold in the A=5α daughter nucleus 20Ne. In this work, the decay property of 20Na is investigated in detail via the β-γ β-α and β-γ-α coincidence spectroscopy. As the day-one experiment of the Beijing Rare Isotope Facility (BRIF), the intense 20Na beam was produced using the Isotope Separator On Line (ISOL) technique through the 100 MeV proton bombarding a stack of MgO as a thick target. Specific interest was focused on the exotic decay mode of 20Na; the previously reported low-energy α lines at 713 and 846 keV were confirmed, and several weak β-γ-α decay sequences were clearly identified for the first time, thanks to the strong resolving power of α-γ coincidence spectroscopy. The decay properties of 20Na are compared to the shell model calculation, which agree reasonably well with the allowed β transition strengths and subsequent electro-magnetic transitions with the use of the sd shell-model space with the USDB interaction. Full article
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12 pages, 14870 KB  
Article
Description of 29F and 31F Within the Deformed Relativistic Hartree–Bogoliubov Theory in Continuum
by Kaiyuan Zhang, Ling Li, Jie Yan, Guixiang Ye, Xinhui Wu, Jia-Lin An, Shi-Sheng Zhang, Cong Pan and Xiang-Xiang Sun
Particles 2026, 9(2), 36; https://doi.org/10.3390/particles9020036 - 2 Apr 2026
Cited by 1 | Viewed by 566
Abstract
The experimental exploration of halo nuclei over the past four decades has established ground-state halo phenomena in about twenty nuclei, providing important benchmarks for modern nuclear theories. The deformed relativistic Hartree–Bogoliubov theory in continuum (DRHBc) has been successfully applied to describe known halo [...] Read more.
The experimental exploration of halo nuclei over the past four decades has established ground-state halo phenomena in about twenty nuclei, providing important benchmarks for modern nuclear theories. The deformed relativistic Hartree–Bogoliubov theory in continuum (DRHBc) has been successfully applied to describe known halo nuclei and to predict new candidates during the last dozen years. In this work, the possible two-neutron halo nuclei F29 and F31 are investigated within the DRHBc framework. In the spherical limit, an inversion between the 2p3/2 and 1f7/2 orbitals is obtained relative to the conventional single-particle ordering, which plays a crucial role in the formation of deformed halos in these nuclei. Assuming a prolate deformation with β20.4, as suggested in previous studies, a deformed two-neutron halo in F29 is reproduced. For F31, a well-deformed ground state with β20.24 and a more pronounced two-neutron halo emerge self-consistently. Full article
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11 pages, 3381 KB  
Article
Concept of Isomer Beam Production with Heavy-Ion Storage Rings
by Takayuki Yamaguchi, Yoshitaka Yamaguchi, Tetsuya Ohnishi, Daisuke Nagae and Yury A. Litvinov
Particles 2026, 9(2), 31; https://doi.org/10.3390/particles9020031 - 29 Mar 2026
Viewed by 515
Abstract
Heavy radioactive ion beams produced by in-flight techniques often involve long-lived excited states (isomers). This presents a challenge for reaction studies because none of the existing fragment separators worldwide can resolve isomers in-flight. Here, we propose a novel scheme to produce tagged cocktail [...] Read more.
Heavy radioactive ion beams produced by in-flight techniques often involve long-lived excited states (isomers). This presents a challenge for reaction studies because none of the existing fragment separators worldwide can resolve isomers in-flight. Here, we propose a novel scheme to produce tagged cocktail beams or pure isomer beams using an ion storage ring. The mass resolving powers of storage rings enable us to identify and separate ions of the isomeric state from the corresponding ground state in a secondary beam. For short-lived isomers, the Rare-RI Ring (R3) facility at the RI Beam Factory (RIBF) will be available, while for long-lived isomers the Experimental Storage Ring (ESR) at the GSI/FAIR facility will be utilized. Isomers often have spins and deformations significantly different from the ground states. Studying isomer structures will provide unique insight into their specific interactions, opening a new frontier in reaction studies with radioactive ion beams in the coming years. Full article
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11 pages, 5650 KB  
Article
Measurement of Elastic Scattering Angular Distributions for Proton-Rich Nuclei 21,22Na on Double-Magic Nucleus 40Ca
by Yuwen Chen, Wei Nan, Bing Guo, Chengjian Lin, Bing Tang, Danyang Pang, Lei Yang, Dongxi Wang, Guo Yang, Yangping Shen, Qiwen Fan, Yiwen Bao, Lei Cao, Lihua Chen, Baoqun Cui, Yueming Hu, Qinghua Huang, Huiming Jia, Chaoxin Kan, Kangning Li, Yaoqian Li, Yunju Li, Zhihong Li, Gang Lian, Junhui Liao, Zhenwei Liu, Tianpeng Luo, Nanru Ma, Ruigang Ma, Xie Ma, Yingjun Ma, Guofang Song, Lei Wang, Xiaofei Wang, Youbao Wang, Yuheng Wang, Peiwei Wen, Shengquan Yan, Feng Yang, Sheng Zeng, Yifan Zhang, Tianjue Zhang and Weiping Liuadd Show full author list remove Hide full author list
Particles 2026, 9(1), 26; https://doi.org/10.3390/particles9010026 - 13 Mar 2026
Viewed by 631
Abstract
Present and future rare isotope accelerator facilities provide new opportunities to explore the structure of unstable nuclei. We report the measurements of the elastic scattering angular distributions of 21Na and 22Na on the doubly magic 40Ca above the Coulomb barrier [...] Read more.
Present and future rare isotope accelerator facilities provide new opportunities to explore the structure of unstable nuclei. We report the measurements of the elastic scattering angular distributions of 21Na and 22Na on the doubly magic 40Ca above the Coulomb barrier energies, using high-purity post-accelerated ISOL beams from Beijing Radioactive Ion Beam Facility (BRIF). Angular distributions were measured with a silicon detector telescope array, and relative cross sections were determined with a CaF2 target on Au backing. The data were well reproduced by optical model calculations with Woods–Saxon and USNP potentials, the latter giving better agreement. These results confirm the stable operation and performance of the BRIF ISOL production and post-acceleration system, demonstrate its capability to provide radioactive beams of useful intensity and purity for future investigations of reaction dynamics and astrophysically relevant processes involving proton-rich nuclei, and simultaneously extend proton-rich elastic scattering studies to heavier systems. Full article
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8 pages, 463 KB  
Article
Ab Initio Study on the Halo Structure in 11Be
by Shihang Shen, Serdar Elhatisari, Dean Lee, Ulf-G. Meißner and Zhengxue Ren
Particles 2026, 9(1), 25; https://doi.org/10.3390/particles9010025 - 10 Mar 2026
Viewed by 595
Abstract
We present an ab initio study on the one-neutron halo nucleus 11Be using nuclear lattice effective field theory with high-fidelity chiral interactions at N3LO. By employing the wavefunction matching method to mitigate the sign problem and the pinhole algorithm to sample many-body [...] Read more.
We present an ab initio study on the one-neutron halo nucleus 11Be using nuclear lattice effective field theory with high-fidelity chiral interactions at N3LO. By employing the wavefunction matching method to mitigate the sign problem and the pinhole algorithm to sample many-body correlations, we successfully reproduce the ground-state parity inversion and the extended matter radius characteristic of the halo structure. We analyze the intrinsic density distributions and geometric shapes of 11Be in comparison with the core nucleus 10Be. Our results reveal a prominent two-cluster structure in both nuclei and the occupation of the σ molecular orbital by the valence neutron in 11Be. It enhances the prolate deformation as well as the diffuse neutron tail, distinct from the π-orbital occupation observed in the 10Be ground state. Full article
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Review

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18 pages, 15573 KB  
Review
A Halo: Triggering a New Era of Nuclear Correlations
by Hiroyuki Sagawa, Xiao Lu and Shan-Gui Zhou
Particles 2026, 9(2), 50; https://doi.org/10.3390/particles9020050 (registering DOI) - 9 May 2026
Viewed by 84
Abstract
In this contribution to the Halo-40 Proceedings, we discuss two topics regarding halo phenomena. The first is the pairing anti-halo effect on the neutron radius of halo nuclei and the restoration of the halo due to the cancellation between the anti-halo effect and [...] Read more.
In this contribution to the Halo-40 Proceedings, we discuss two topics regarding halo phenomena. The first is the pairing anti-halo effect on the neutron radius of halo nuclei and the restoration of the halo due to the cancellation between the anti-halo effect and the continuum coupling; the second is the soft dipole excitation of deformed halo nuclei. We demonstrate the importance of Hartree–Fock–Bogoliubov and relativistic Hartree–Bogoliubov theory in a continuum for properly taking into account the halo nature of extended wave functions in the calculations of neutron radii as well as the soft dipole excitations of halo nuclei. It is shown that the anti-halo effect is very sensitive to the continuum coupling induced by Bogoliubov-type quasi-particles, which largely cancels the anti-halo effect on the neutron radius. The soft dipole excitations of deformed halo nuclei 31Ne and 37Mg are discussed within the deformed Woods–Saxon model. We point out that the sharp peak just above the threshold in the dipole response is created by the halo effect, and its strength can be used to identify the magnitude of deformation and the halo configuration in the Nilsson-level scheme. Full article
22 pages, 3907 KB  
Review
Nuclear Exotic Structures, Exotic Decays and Near-Barrier Reactions
by Cheng Yin, Chengjian Lin, Lei Yang, Feng Yang, Huiming Jia, Nanru Ma, Peiwei Wen and Tianpeng Luo
Particles 2026, 9(2), 48; https://doi.org/10.3390/particles9020048 - 1 May 2026
Viewed by 180
Abstract
The reaction dynamics of weakly-bound nuclear systems at near-barrier energies is a compelling topic in nuclear physics. This review summarizes decades of experimental work by the Nuclear Reaction Group at the China Institute of Atomic Energy. Using transfer reactions with the distorted wave [...] Read more.
The reaction dynamics of weakly-bound nuclear systems at near-barrier energies is a compelling topic in nuclear physics. This review summarizes decades of experimental work by the Nuclear Reaction Group at the China Institute of Atomic Energy. Using transfer reactions with the distorted wave born approximation and asymptotic normalization coefficient analyses, we confirm the first excited neutron halo (13C) on the β-stability line and identified new halo states in 12B. Total reaction cross-section measurements revealed proton halo nuclei 27P and 29S, with core enlargement observed in 27P and 28P. We established conditions for halo formation and delineated the proton halo existence region. In two-proton emission studies, we observed 2He cluster emission from highly excited 17,18Ne and 28,29S, with 29S being the second such case internationally. In β-delayed decay, we discovered β2p emission in 22Si and determined its mass, observing isospin-symmetry breaking in 20Mg, 22Si, and 27S. Decay schemes for 27S and 26P addressed the 26Al abundance problem. For nuclear interactions, we investigated the 6He optical potential, finding the dispersion relation inapplicable for 6He + 209Bi, and developed notch and Bayesian methods to constrain uncertainties. For unstable nuclei, the proton drip-line systems 8B and 17F have been intensively studied via complete kinematics measurements of the 8B + 120Sn and 17F + 58Ni reactions, respectively. The results show that elastic breakup dominates for proton-halo 8B, while inelastic breakup prevails for 17F, with proton-rich nuclei exhibiting lower breakup probabilities than neutron-halo nuclei due to Coulomb effects. Fusion studies revealed sub-barrier enhancement in 17F + 58Ni from continuum couplings. We propose direct fusion–evaporation measurements with deflection systems integrated with breakup detection to disentangle complete and incomplete fusion channels. Full article
23 pages, 14334 KB  
Review
Recent Developments in and Applications of the Relativistic Chiral Nuclear Force
by Li-Sheng Geng, Jun-Xu Lu, Qing-Yu Zhai, Zhi-Wei Liu and Shi-Hang Shen
Particles 2026, 9(2), 38; https://doi.org/10.3390/particles9020038 - 4 Apr 2026
Viewed by 501
Abstract
The nuclear force is central to our understanding of complex nuclear phenomena and to the applications of nuclear techniques. The non-perturbative nature of low-energy strong interaction and color confinement have provided an ab initio understanding of nuclear force, a challenge for almost a [...] Read more.
The nuclear force is central to our understanding of complex nuclear phenomena and to the applications of nuclear techniques. The non-perturbative nature of low-energy strong interaction and color confinement have provided an ab initio understanding of nuclear force, a challenge for almost a century, since the pioneering work of Yukawa. Since 1990, chiral effective field theory (ChEFT) has become the de facto standard for describing nuclear interactions; most prior studies employed heavy-baryon chiral perturbation theory. Only recently, there have been successful attempts to construct a chiral nuclear force employing covariant baryon chiral perturbation theory. In this work, we review recent developments and applications of relativistic chiral nuclear forces. We first elaborate on the necessity of relativistic/covariant theories, then present the construction of the first high-precision relativistic chiral nuclear force up to next-to-next-to-leading order (NNLO), and discuss the ongoing progress in higher-order nucleon–nucleon (NN) and n-d scattering, as well as their applications in nuclear matter, finite nuclei, and hypernuclear systems. Finally, we summarize the achievements and outline the future outlook of this research field. Full article
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14 pages, 920 KB  
Review
Progress on the Proton Decays of A ∼ 20 Nuclei Around the Proton Drip Line
by Lei Ni, Yu Jin, Hui Hua and Zhihuan Li
Particles 2026, 9(2), 32; https://doi.org/10.3390/particles9020032 - 1 Apr 2026
Viewed by 711
Abstract
Experimental studies on the spontaneous nucleon emission in nuclei around the drip line enable us to explore new isotopes or resonant states, and to reveal exotic structures and decay properties of nuclei located far from the β stability line; consequently, they are of [...] Read more.
Experimental studies on the spontaneous nucleon emission in nuclei around the drip line enable us to explore new isotopes or resonant states, and to reveal exotic structures and decay properties of nuclei located far from the β stability line; consequently, they are of critical importance for probing limits of nuclear stability and understanding nucleon–nucleon interactions under extreme conditions of isospin asymmetry. With the radioactive isotope beam 20Mg provided by the National Superconducting Cyclotron Laboratory at Michigan State University, we studied the proton decays of nuclei around the proton drip line at A20 mass region. Complete-kinematics measurements were performed for proton decays of one-proton resonant states in 18Na, two-proton resonant states in 20Mg, three-proton resonant states in 21Al, and four-proton resonant states in 18Mg, yielding decay energy spectra for all four nuclei. With the invariant mass method, the ground state of 18Na was firmly identified, clarifying previous ambiguities of its position. The isotope 18Mg, which is located two neutrons beyond the proton drip line, was experimentally observed for the first time. Multi-body correlation analysis of emitted protons from 20Mg, 21Al, and 18Mg, combined with Monte Carlo simulations, reveals that the identified resonant states in 20Mg and 21Al predominantly decay via two and three sequential steps of 1p emission, respectively, whereas the 18Mg ground state decays mainly through a two-step cascade of prompt 2p emission. Full article
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28 pages, 5327 KB  
Review
Halos and Multineutron Correlations in Light Neutron-Rich Nuclei
by Zheyang Lin and Zaihong Yang
Particles 2026, 9(1), 27; https://doi.org/10.3390/particles9010027 - 16 Mar 2026
Viewed by 564
Abstract
This review summarizes recent experimental progress in the structure and correlations of light neutron-rich nuclei. We first highlight achievements based on quasi-free scattering reactions in inverse kinematics at the Radioactive Isotope Beam Factory (RIBF), including investigations of the single-particle composition of halo systems—for [...] Read more.
This review summarizes recent experimental progress in the structure and correlations of light neutron-rich nuclei. We first highlight achievements based on quasi-free scattering reactions in inverse kinematics at the Radioactive Isotope Beam Factory (RIBF), including investigations of the single-particle composition of halo systems—for example, revealing the minimal s-wave component in the “weak-halo” nucleus 17B—and the mapping of universal, surface-localized dineutron correlations in Borromean nuclei such as 11Li, 14Be and 17B. We then discuss recent advances in the study of multineutron correlations and cluster states, addressing both experimental challenges and major breakthroughs. These include the observation of a candidate 4n resonance, the absence of a resonant state in the 3n system, the characterization of direct two-neutron decay in 16Be, and evidence for a condensate-like α+n2+n2 cluster structure in the He8(02+) state. Finally, we discuss prospects for extending such investigations to heavier halo candidates and more complex multineutron systems, and outline the development of next-generation neutron detector arrays that will drive future progress in this field. Full article
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Other

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7 pages, 853 KB  
Brief Report
Halo Phenomena in Light- to Medium-Mass Nuclei with Three-Body Models
by Lorenzo Fortunato
Particles 2026, 9(1), 21; https://doi.org/10.3390/particles9010021 - 2 Mar 2026
Viewed by 495
Abstract
Short-lived nuclear systems with light to medium masses are showing halo phenomena in regions of the nuclear chart that were still unexplored when halo nuclei were discovered 40 years ago. We study these exotic systems with three-body models, including nucleon–nucleon correlations, with the [...] Read more.
Short-lived nuclear systems with light to medium masses are showing halo phenomena in regions of the nuclear chart that were still unexplored when halo nuclei were discovered 40 years ago. We study these exotic systems with three-body models, including nucleon–nucleon correlations, with the aim of reproducing measurable properties like radii and electromagnetic transition strengths. On the nucleon-rich side, drip-line fluorine isotopes are showing clear signs of a halo structure. Recently, we proposed that F29 is a moderate two-neutron halo nucleus with a large radius and a strong B(E1) response to the continuum. The three-body model places it at the borders of the island of inversion, which is corroborated by new data. According to our models, the next interesting isotope, F31, also has large spatial extension due to p-wave components and enhanced B(E1) response, pointing to a speculative halo structure. On the proton-rich side, we have studied the Sb102 system, composed of a Sn100 core plus a proton–neutron-correlated subsystem. We find that the weakening of the proton–neutron correlations with respect to the bare deuteron indicates that this is a one-proton emitter. We propose that the presence of a resonant state and its decay might provide a crucial benchmark for this system. Full article
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