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Yang L, Lin CJ, Jia HM, Wang DX, Ma NR, Sun LJ, Yang F, Xu XX, Wu ZD, Zhang HQ, Liu ZH. Is the Dispersion Relation Applicable for Exotic Nuclear Systems? The Abnormal Threshold Anomaly in the ^{6}He+^{209}Bi System. PHYSICAL REVIEW LETTERS 2017; 119:042503. [PMID: 29341746 DOI: 10.1103/physrevlett.119.042503] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/07/2017] [Indexed: 06/07/2023]
Abstract
The threshold anomaly of the phenomenological potential has been known for a long time in nuclear reactions at energies around the Coulomb barrier, where the connection between the real and imaginary potentials is well described by the dispersion relation. However, this connection is not clear yet for some weakly bound nuclear systems, especially for reactions induced by exotic radioactive nuclei. In this study, precise optical potentials of the halo nuclear system ^{6}He+^{209}Bi were extracted via ^{208}Pb(^{7}Li,^{6}He) transfer reactions with energies measured downward to the extremely sub-barrier region. The real potential presents a bell-like shape around the barrier as a normal threshold anomaly in tightly bound nuclear systems. However, the imaginary potential shows an abnormal behavior: it increases first with energy decreasing below the barrier and then falls quickly down to 0. It is the first time the threshold of the imaginary potential has been determined in an exotic nuclear system. Moreover, experimental results show the dispersion relation is not applicable for this system, which may be a common phenomenon for exotic nuclear systems. We discuss possible explanations for such a peculiar behavior, but further study is still desired for the underlying physics.
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Affiliation(s)
- L Yang
- China Institute of Atomic Energy, P.O. Box 275(10), Beijing 102413, China
| | - C J Lin
- China Institute of Atomic Energy, P.O. Box 275(10), Beijing 102413, China
| | - H M Jia
- China Institute of Atomic Energy, P.O. Box 275(10), Beijing 102413, China
| | - D X Wang
- China Institute of Atomic Energy, P.O. Box 275(10), Beijing 102413, China
| | - N R Ma
- China Institute of Atomic Energy, P.O. Box 275(10), Beijing 102413, China
| | - L J Sun
- China Institute of Atomic Energy, P.O. Box 275(10), Beijing 102413, China
| | - F Yang
- China Institute of Atomic Energy, P.O. Box 275(10), Beijing 102413, China
| | - X X Xu
- China Institute of Atomic Energy, P.O. Box 275(10), Beijing 102413, China
| | - Z D Wu
- China Institute of Atomic Energy, P.O. Box 275(10), Beijing 102413, China
| | - H Q Zhang
- China Institute of Atomic Energy, P.O. Box 275(10), Beijing 102413, China
| | - Z H Liu
- China Institute of Atomic Energy, P.O. Box 275(10), Beijing 102413, China
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2
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Romero-Redondo C, Quaglioni S, Navrátil P, Hupin G. He 4 4He + n + n continuum within an ab initio framework. PHYSICAL REVIEW LETTERS 2014; 113:032503. [PMID: 25083637 DOI: 10.1103/physrevlett.113.032503] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/04/2014] [Indexed: 06/03/2023]
Abstract
The low-lying continuum spectrum of the (6)He nucleus is investigated for the first time within an ab initio framework that encompasses the (4)He + n + n three-cluster dynamics characterizing its lowest decay channel. This is achieved through an extension of the no-core shell model combined with the resonating-group method, in which energy-independent nonlocal interactions among three nuclear fragments can be calculated microscopically, starting from realistic nucleon-nucleon interactions and consistent ab initio many-body wave functions of the clusters. The three-cluster Schrödinger equation is solved with three-body scattering boundary conditions by means of the hyperspherical-harmonics method on a Lagrange mesh. Using a soft similarity-renormalization-group evolved chiral nucleon-nucleon potential, we find the known J(π) = 2(+) resonance as well as a result consistent with a new low-lying second 2(+) resonance recently observed at GANIL at 2.6 MeV above the (6)He ground state. We also find resonances in the 2(-), 1(+), and 0(-) channels, while no low-lying resonances are present in the 0(+) and 1(-) channels.
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Affiliation(s)
| | - Sofia Quaglioni
- Lawrence Livermore National Laboratory, P.O. Box 808, L-414, Livermore, California 94551, USA
| | - Petr Navrátil
- TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
| | - Guillaume Hupin
- Lawrence Livermore National Laboratory, P.O. Box 808, L-414, Livermore, California 94551, USA
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3
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Fomichev AS, Bezbakh AA, Chudoba V, Egorova IA, Ershov SN, Golovkov MS, Gorshkov AV, Grigorenko LV, Jaluvkova P, Kaminski G, Krupko SA, Kuzmin EA, Nikolskii EY, Mukha IG, Parfenova YL, Sharov PG, Sidorchuk SI, Slepnev RS, Stepantsov SV, Ter-Akopian GM, Wolski R, Zhukov MV, Yukhimchuk AA, Filchagin SV, Kirdyashkin AA, Maksimkin IP, Vikhlyantsev OP. Recent results related to excited states of 6Be and 10He. EPJ WEB OF CONFERENCES 2012. [DOI: 10.1051/epjconf/20123815002] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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4
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Volya A, Zelevinsky V. Discrete and continuum spectra in the unified shell model approach. PHYSICAL REVIEW LETTERS 2005; 94:052501. [PMID: 15783630 DOI: 10.1103/physrevlett.94.052501] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/09/2004] [Indexed: 05/24/2023]
Abstract
A new version of the nuclear shell model unifies the consideration of the discrete spectrum, where the results reproduce the standard shell model, and continuum. The ingredients of the method are the non-Hermitian effective Hamiltonian, energy-dependent one-body and two-body decay amplitudes, and self-consistent treatment of thresholds. The results for helium and oxygen isotope chains reproduce the data well.
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Affiliation(s)
- Alexander Volya
- Department of Physics, Florida State University, Tallahassee, Florida 32306-4350, USA
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5
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Bacca S, Marchisio MA, Barnea N, Leidemann W, Orlandini G. Microscopic calculation of six-body inelastic reactions with complete final state interaction: photoabsorption of (6)He and (6)Li. PHYSICAL REVIEW LETTERS 2002; 89:052502. [PMID: 12144437 DOI: 10.1103/physrevlett.89.052502] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/20/2001] [Indexed: 05/23/2023]
Abstract
Six-body inelastic reactions are calculated microscopically including the full six-nucleon final state interaction. The total cross sections of gamma+ (6)He ( (6)Li)-->X are considered as examples. The Lorentz integral transform method and the effective interaction approach for the hyperspherical formalism are employed. While (6)Li has a single broad giant resonance peak, there are two well separated peaks for (6)He corresponding to the breakup of the neutron halo and the alpha core, respectively. The comparison with the few available experimental data is discussed.
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Affiliation(s)
- Sonia Bacca
- Dipartimento di Fisica, Università di Trento and INFN (GC Trento), I-38050 Povo, Trento, Italy
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6
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Navrátil P, Vary JP, Ormand WE, Barrett BR. Six-nucleon spectroscopy from a realistic nonlocal Hamiltonian. PHYSICAL REVIEW LETTERS 2001; 87:172502. [PMID: 11690268 DOI: 10.1103/physrevlett.87.172502] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/11/2001] [Indexed: 05/23/2023]
Abstract
We apply the ab initio no-core nuclear shell model to solve the six-nucleon systems, (6)Li and (6)He, interacting by realistic nucleon-nucleon ( NN) potentials. In particular, we present the first results for A = 6 with the nonlocal CD-Bonn NN potential. The resulting (6)Li binding energy -29.3(6) MeV and the excitation spectra improve the agreement between the theory and experiment compared to results with local NN potentials, but the need for the inclusion of a real three-body interaction and/or further improvement of the NN forces remains. We predict properties of the (6)He dipole modes, a subject of current controversy.
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Affiliation(s)
- P Navrátil
- Lawrence Livermore National Laboratory, L-414, P.O. Box 808, Livermore, California 94551 and Nuclear Physics Institute, Academy of Sciences of the Czech Republic, 250 68 Rez near Prague, Czech Republic
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7
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Nakayama S, Yamagata T, Akimune H, Daito I, Fujimura H, Fujita Y, Fujiwara M, Fushimi K, Greenfield MB, Kohri H, Koori N, Takahisa K, Tamii A, Tanaka M, Toyokawa H. Dipole excitation of alpha clusters in (6)Li and (7)Li. PHYSICAL REVIEW LETTERS 2001; 87:122502. [PMID: 11580501 DOI: 10.1103/physrevlett.87.122502] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/20/2001] [Revised: 06/11/2001] [Indexed: 05/23/2023]
Abstract
Dipole excitations in highly excited energy regions of (6)He and (7)He nuclei were investigated via the ((7)Li,(7)Be) reaction with an incident energy of 65A MeV at forward scattering angles. The resonances at Q approximately equal to -30 MeV observed commonly for both (6)Li and (7)Li targets were found to be excited via both spin-flip and spin-nonflip transitions with DeltaL = 1. Based on the observed excitation energy, width, and cross section of each resonance, the relevant resonances are inferred to be analogs of the dipole resonances of alpha clusters in the (6)Li and (7)Li nuclei.
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Affiliation(s)
- S Nakayama
- Department of Physics, University of Tokushima, Tokushima 770-8502, Japan
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8
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Leistenschneider A, Aumann T, Boretzky K, Cortina D, Cub J, Datta Pramanik U, Dostal W, Elze TW, Emling H, Geissel H, Grünschloss A, Hellstr M, Holzmann R, Ilievski S, Iwasa N, Kaspar M, Kleinböhl A, Kratz JV, Kulessa R, Leifels Y, Lubkiewicz E, Münzenberg G, Reiter P, Rejmund M, Scheidenberger C, Schlegel C, Simon H, Stroth J, Sümmerer K, Wajda E, Walús W, Wan S. Photoneutron cross sections for unstable neutron-rich oxygen isotopes. PHYSICAL REVIEW LETTERS 2001; 86:5442-5445. [PMID: 11415271 DOI: 10.1103/physrevlett.86.5442] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/19/2000] [Indexed: 05/23/2023]
Abstract
The dipole response of stable and unstable neutron-rich oxygen nuclei of masses A = 17 to A = 22 has been investigated experimentally utilizing electromagnetic excitation in heavy-ion collisions at beam energies about 600 MeV/nucleon. A kinematically complete measurement of the neutron decay channel in inelastic scattering of the secondary beam projectiles from a Pb target was performed. Differential electromagnetic excitation cross sections d sigma/dE were derived up to 30 MeV excitation energy. In contrast to stable nuclei, the deduced dipole strength distribution appears to be strongly fragmented and systematically exhibits a considerable fraction of low-lying strength.
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Affiliation(s)
- A Leistenschneider
- Institut für Kernphysik, Johann Wolfgang Goethe-Universität, D-60486 Frankfurt, Germany
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