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Ma W, Ma YG, He W, Zhou B. Multifractal dimension spectrum analysis for nuclear density distribution. CHAOS (WOODBURY, N.Y.) 2024; 34:093121. [PMID: 39298343 DOI: 10.1063/5.0213717] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/12/2024] [Accepted: 08/22/2024] [Indexed: 09/21/2024]
Abstract
We present an integral density method for calculating the multifractal dimension spectrum for nucleon distribution in atomic nuclei. This method is then applied to analyze the non-uniformity of density distribution in several typical types of nuclear matter distributions, including the Woods-Saxon distribution, halo structure, and tetrahedral α clustering. The subsequent discussion provides a comprehensive and detailed exploration of the results obtained. The multifractal dimension spectrum shows a remarkable sensitivity to the density distribution, establishing it as a simple and novel tool for studying the distribution of nucleons in nuclear multibody systems.
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Affiliation(s)
- Weihu Ma
- Institute of Modern Physics, Fudan University, Shanghai 200433, People's Republic of China
| | - Yu-Gang Ma
- Key Laboratory of Nuclear Physics and Ion-Beam Application (MOE), Institute of Modern Physics, Fudan University, Shanghai 200433, China
- Shanghai Research Center for Theoretical Nuclear Physics, NSFC and Fudan University, Shanghai 200438, China
| | - Wanbing He
- Key Laboratory of Nuclear Physics and Ion-Beam Application (MOE), Institute of Modern Physics, Fudan University, Shanghai 200433, China
| | - Bo Zhou
- Key Laboratory of Nuclear Physics and Ion-Beam Application (MOE), Institute of Modern Physics, Fudan University, Shanghai 200433, China
- Shanghai Research Center for Theoretical Nuclear Physics, NSFC and Fudan University, Shanghai 200438, China
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Le Joubioux M, Savajols H, Mittig W, Fléchard X, Hayen L, Penionzhkevich YE, Ackermann D, Borcea C, Caceres L, Delahaye P, Didierjean F, Franchoo S, Grillet A, Jacquot B, Lebois M, Ledoux X, Lecesne N, Liénard E, Lukyanov S, Naviliat-Cuncic O, Piot J, Singh A, Smirnov V, Stodel C, Testov D, Thisse D, Thomas JC, Verney D. Search for a Neutron Dark Decay in ^{6}He. PHYSICAL REVIEW LETTERS 2024; 132:132501. [PMID: 38613302 DOI: 10.1103/physrevlett.132.132501] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/30/2023] [Revised: 01/31/2024] [Accepted: 02/29/2024] [Indexed: 04/14/2024]
Abstract
Neutron dark decays have been suggested as a solution to the discrepancy between bottle and beam experiments, providing a dark matter candidate that can be searched for in halo nuclei. The free neutron in the final state following the decay of ^{6}He into ^{4}He+n+χ provides an exceptionally clean detection signature when combined with a high efficiency neutron detector. Using a high-intensity ^{6}He^{+} beam at Grand Accélérateur National d'Ions Lourds, a search for a coincident neutron signal resulted in an upper limit on a dark decay branching ratio of Br_{χ}≤4.0×10^{-10} (95% C.L.). Using the dark neutron decay model proposed originally by Fornal and Grinstein, we translate this into an upper bound on a dark neutron branching ratio of O(10^{-5}), improving over global constraints by one to several orders of magnitude depending on m_{χ}.
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Affiliation(s)
- M Le Joubioux
- Grand Accélérateur National d'Ions Lourds (GANIL), CEA/DRF-CNRS/IN2P3, Boulevard Henri Becquerel, 14076 Caen, France
| | - H Savajols
- Grand Accélérateur National d'Ions Lourds (GANIL), CEA/DRF-CNRS/IN2P3, Boulevard Henri Becquerel, 14076 Caen, France
| | - W Mittig
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - X Fléchard
- Université de Caen Normandie, ENSICAEN, CNRS/IN2P3, LPC Caen UMR6534, F-14000 Caen, France
| | - L Hayen
- Université de Caen Normandie, ENSICAEN, CNRS/IN2P3, LPC Caen UMR6534, F-14000 Caen, France
- Department of Physics, North Carolina State University, Raleigh, North Carolina 27607, USA
| | - Yu E Penionzhkevich
- Flerov Laboratory of Nuclear Reactions, Joint Institute for Nuclear Research, Dubna 141980, Russia
- National Research Nuclear University MEPHI, Moscow 115409, Russia
| | - D Ackermann
- Grand Accélérateur National d'Ions Lourds (GANIL), CEA/DRF-CNRS/IN2P3, Boulevard Henri Becquerel, 14076 Caen, France
| | - C Borcea
- Horia Hulubei National Institute for Physics and Nuclear Engineering, Reactorului 30, 077125 Bucharest-Măgurele, Romania
| | - L Caceres
- Grand Accélérateur National d'Ions Lourds (GANIL), CEA/DRF-CNRS/IN2P3, Boulevard Henri Becquerel, 14076 Caen, France
| | - P Delahaye
- Grand Accélérateur National d'Ions Lourds (GANIL), CEA/DRF-CNRS/IN2P3, Boulevard Henri Becquerel, 14076 Caen, France
| | - F Didierjean
- Institut Pluridisciplinaire Hubert Curien, 23 Rue du Loess, 67200 Strasbourg, France
| | - S Franchoo
- Université Paris-Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, France
| | - A Grillet
- Institut Pluridisciplinaire Hubert Curien, 23 Rue du Loess, 67200 Strasbourg, France
| | - B Jacquot
- Grand Accélérateur National d'Ions Lourds (GANIL), CEA/DRF-CNRS/IN2P3, Boulevard Henri Becquerel, 14076 Caen, France
| | - M Lebois
- Université Paris-Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, France
| | - X Ledoux
- Grand Accélérateur National d'Ions Lourds (GANIL), CEA/DRF-CNRS/IN2P3, Boulevard Henri Becquerel, 14076 Caen, France
| | - N Lecesne
- Grand Accélérateur National d'Ions Lourds (GANIL), CEA/DRF-CNRS/IN2P3, Boulevard Henri Becquerel, 14076 Caen, France
| | - E Liénard
- Université de Caen Normandie, ENSICAEN, CNRS/IN2P3, LPC Caen UMR6534, F-14000 Caen, France
| | - S Lukyanov
- Flerov Laboratory of Nuclear Reactions, Joint Institute for Nuclear Research, Dubna 141980, Russia
| | - O Naviliat-Cuncic
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
- Université de Caen Normandie, ENSICAEN, CNRS/IN2P3, LPC Caen UMR6534, F-14000 Caen, France
| | - J Piot
- Grand Accélérateur National d'Ions Lourds (GANIL), CEA/DRF-CNRS/IN2P3, Boulevard Henri Becquerel, 14076 Caen, France
| | - A Singh
- Grand Accélérateur National d'Ions Lourds (GANIL), CEA/DRF-CNRS/IN2P3, Boulevard Henri Becquerel, 14076 Caen, France
| | - V Smirnov
- Flerov Laboratory of Nuclear Reactions, Joint Institute for Nuclear Research, Dubna 141980, Russia
| | - C Stodel
- Grand Accélérateur National d'Ions Lourds (GANIL), CEA/DRF-CNRS/IN2P3, Boulevard Henri Becquerel, 14076 Caen, France
| | - D Testov
- Extreme Light Infrastructure-Nuclear Physics (ELI-NP)/Horia Hulubei National Institute for Physics and Nuclear Engineering (IFIN-HH), Strada Reactorului 30, 077125 Bucharest-Măgurele, Romania
- Joint Institute for Nuclear Research, Joliot-Curie 6, 141980 Dubna, Moscow region, Russia
| | - D Thisse
- Université Paris-Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, France
| | - J C Thomas
- Grand Accélérateur National d'Ions Lourds (GANIL), CEA/DRF-CNRS/IN2P3, Boulevard Henri Becquerel, 14076 Caen, France
| | - D Verney
- Université Paris-Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, France
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