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Nandi J, Sikdar AK, Kumar A, Alam S, Das P, Ray A. Temporal evolution of electron cloud in a cylindrical Penning trap at room temperature. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2024; 95:043202. [PMID: 38651988 DOI: 10.1063/5.0194917] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/29/2023] [Accepted: 04/05/2024] [Indexed: 04/25/2024]
Abstract
The temporal evolution of the electron cloud at room temperature has been recorded through a resonance circuit by observing the axial oscillation frequency of its center of mass. The electron cloud undergoes radial expansion by interacting with the residual gas molecules, and it is finally lost upon hitting the Penning trap electrodes. It has been confirmed through detailed experimental investigations that the unique temporal pattern of frequency variation is a consequence of the cloud's radial expansion. Consequently, this approach offers a non-destructive means for single-shot detection, enabling continuous monitoring of the electron cloud's radial expansion during the confinement time. This technique offers a significant advantage over its destructive alternatives.
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Affiliation(s)
- J Nandi
- Variable Energy Cyclotron Centre, 1/AF Bidhannagar, Kolkata 700064, India
- Homi Bhabha National Institute, 2nd Floor, BARC Training School Complex, Anushaktinagar, Mumbai, Maharashtra 400094, India
| | - A K Sikdar
- Variable Energy Cyclotron Centre, 1/AF Bidhannagar, Kolkata 700064, India
- Homi Bhabha National Institute, 2nd Floor, BARC Training School Complex, Anushaktinagar, Mumbai, Maharashtra 400094, India
| | - A Kumar
- Indian Institute of Technology, Kharagpur, West Bengal 721302, India
| | - S Alam
- Indian Institute of Technology, Kharagpur, West Bengal 721302, India
| | - P Das
- Variable Energy Cyclotron Centre, 1/AF Bidhannagar, Kolkata 700064, India
- Homi Bhabha National Institute, 2nd Floor, BARC Training School Complex, Anushaktinagar, Mumbai, Maharashtra 400094, India
| | - A Ray
- Variable Energy Cyclotron Centre, 1/AF Bidhannagar, Kolkata 700064, India
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2
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Latacz BM, Arndt BP, Devlin JA, Erlewein SR, Fleck M, Jäger JI, Micke P, Umbrazunas G, Wursten E, Abbass F, Schweitzer D, Wiesinger M, Will C, Yildiz H, Blaum K, Matsuda Y, Mooser A, Ospelkaus C, Smorra C, Sótér A, Quint W, Walz J, Yamazaki Y, Ulmer S. Ultra-thin polymer foil cryogenic window for antiproton deceleration and storage. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2023; 94:103310. [PMID: 37874231 DOI: 10.1063/5.0167262] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/11/2023] [Accepted: 08/17/2023] [Indexed: 10/25/2023]
Abstract
We present the design and characterization of a cryogenic window based on an ultra-thin aluminized biaxially oriented polyethylene terephthalate foil at T < 10 K, which can withstand a pressure difference larger than 1 bar at a leak rate <1×10-9 mbar l/s. Its thickness of ∼1.7 μm makes it transparent to various types of particles over a broad energy range. To optimize the transfer of 100 keV antiprotons through the window, we tested the degrading properties of different aluminum coated polymer foils of thicknesses between 900 and 2160 nm, concluding that 1760 nm foil decelerates antiprotons to an average energy of 5 keV. We have also explicitly studied the permeation as a function of coating thickness and temperature and have performed extensive thermal and mechanical endurance and stress tests. Our final design integrated into the experiment has an effective open surface consisting of seven holes with a diameter of 1 mm and will transmit up to 2.5% of the injected 100 keV antiproton beam delivered by the Antiproton Decelerator and Extra Low ENergy Antiproton ring facility of CERN.
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Affiliation(s)
- B M Latacz
- CERN, Esplanade des Particules 1, 1217 Meyrin, Switzerland
- RIKEN, Ulmer Fundamental Symmetries Laboratory, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - B P Arndt
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, D-69117 Heidelberg, Germany
- GSI-Helmholtzzentrum für Schwerionenforschung GmbH, Planckstraße 1, D-64291 Darmstadt, Germany
| | - J A Devlin
- CERN, Esplanade des Particules 1, 1217 Meyrin, Switzerland
- RIKEN, Ulmer Fundamental Symmetries Laboratory, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - S R Erlewein
- RIKEN, Ulmer Fundamental Symmetries Laboratory, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, D-69117 Heidelberg, Germany
| | - M Fleck
- RIKEN, Ulmer Fundamental Symmetries Laboratory, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
- Graduate School of Arts and Sciences, University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153-0041, Japan
| | - J I Jäger
- CERN, Esplanade des Particules 1, 1217 Meyrin, Switzerland
- RIKEN, Ulmer Fundamental Symmetries Laboratory, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, D-69117 Heidelberg, Germany
| | - P Micke
- CERN, Esplanade des Particules 1, 1217 Meyrin, Switzerland
- RIKEN, Ulmer Fundamental Symmetries Laboratory, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, D-69117 Heidelberg, Germany
| | - G Umbrazunas
- RIKEN, Ulmer Fundamental Symmetries Laboratory, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
- Eidgenössische Technische Hochschule Zürich, John-von-Neumann-Weg 9, 8093 Zürich, Switzerland
| | - E Wursten
- RIKEN, Ulmer Fundamental Symmetries Laboratory, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - F Abbass
- Institut für Physik, Johannes Gutenberg-Universität, Staudinger Weg 7, D-55099 Mainz, Germany
| | - D Schweitzer
- Institut für Physik, Johannes Gutenberg-Universität, Staudinger Weg 7, D-55099 Mainz, Germany
| | - M Wiesinger
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, D-69117 Heidelberg, Germany
| | - C Will
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, D-69117 Heidelberg, Germany
| | - H Yildiz
- Institut für Physik, Johannes Gutenberg-Universität, Staudinger Weg 7, D-55099 Mainz, Germany
| | - K Blaum
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, D-69117 Heidelberg, Germany
| | - Y Matsuda
- Graduate School of Arts and Sciences, University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153-0041, Japan
| | - A Mooser
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, D-69117 Heidelberg, Germany
| | - C Ospelkaus
- Institut für Quantenoptik, Leibniz Universität, Welfengarten 1, D-30167 Hannover, Germany
- Physikalisch-Technische Bundesanstalt, Bundesallee 100, D-38116 Braunschweig, Germany
| | - C Smorra
- RIKEN, Ulmer Fundamental Symmetries Laboratory, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
- Institut für Physik, Johannes Gutenberg-Universität, Staudinger Weg 7, D-55099 Mainz, Germany
| | - A Sótér
- Eidgenössische Technische Hochschule Zürich, John-von-Neumann-Weg 9, 8093 Zürich, Switzerland
| | - W Quint
- GSI-Helmholtzzentrum für Schwerionenforschung GmbH, Planckstraße 1, D-64291 Darmstadt, Germany
| | - J Walz
- CERN, Esplanade des Particules 1, 1217 Meyrin, Switzerland
- Institut für Physik, Johannes Gutenberg-Universität, Staudinger Weg 7, D-55099 Mainz, Germany
- Helmholtz-Institut Mainz, Johannes Gutenberg-Universität, Staudingerweg 18, D-55128 Mainz, Germany
| | - Y Yamazaki
- RIKEN, Ulmer Fundamental Symmetries Laboratory, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - S Ulmer
- CERN, Esplanade des Particules 1, 1217 Meyrin, Switzerland
- RIKEN, Ulmer Fundamental Symmetries Laboratory, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
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A source of antihydrogen for in-flight hyperfine spectroscopy. Nat Commun 2015; 5:3089. [PMID: 24448273 PMCID: PMC3945878 DOI: 10.1038/ncomms4089] [Citation(s) in RCA: 134] [Impact Index Per Article: 13.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/25/2013] [Accepted: 12/11/2013] [Indexed: 12/02/2022] Open
Abstract
Antihydrogen, a positron bound to an antiproton, is the simplest antiatom. Its counterpart—hydrogen—is one of the most precisely investigated and best understood systems in physics research. High-resolution comparisons of both systems provide sensitive tests of CPT symmetry, which is the most fundamental symmetry in the Standard Model of elementary particle physics. Any measured difference would point to CPT violation and thus to new physics. Here we report the development of an antihydrogen source using a cusp trap for in-flight spectroscopy. A total of 80 antihydrogen atoms are unambiguously detected 2.7 m downstream of the production region, where perturbing residual magnetic fields are small. This is a major step towards precision spectroscopy of the ground-state hyperfine splitting of antihydrogen using Rabi-like beam spectroscopy. Comparing hydrogen and antihydrogen—its antimatter counterpart—provides important tests of fundamental symmetries in the Standard Model. Kuroda et al. present a source of antihydrogen atoms that may provide high-precision in-flight measurements of their ground-state hyperfine splitting.
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Kuroda N, Mohri A, Torii HA, Nagata Y, Shibata M. First observation of a (1,0) mode frequency shift of an electron plasma at antiproton beam injection. PHYSICAL REVIEW LETTERS 2014; 113:025001. [PMID: 25062195 DOI: 10.1103/physrevlett.113.025001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/25/2013] [Indexed: 06/03/2023]
Abstract
The frequency shift of the center-of-mass oscillation, known as the (1,0) mode, of a trapped electron plasma and, furthermore, its time evolution were observed during the cooling of an injected antiproton beam for the first time. Here, antiprotons mixed with the electrons did not follow faster electron oscillations but contributed to the modification of the effective potential. The time evolution of the plasma temperature, deduced from the frequency shift of the excited (3,0) mode, suggested that there was an abnormal energy deposition of the antiproton beam in the electron plasma before thermalization.
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Affiliation(s)
- N Kuroda
- Institute of Physics, University of Tokyo, Komaba, Meguro, Tokyo 153-8902, Japan
| | - A Mohri
- Atomic Physics Laboratory, RIKEN, Wako, Saitama 351-0198, Japan
| | - H A Torii
- Institute of Physics, University of Tokyo, Komaba, Meguro, Tokyo 153-8902, Japan
| | - Y Nagata
- Atomic Physics Laboratory, RIKEN, Wako, Saitama 351-0198, Japan
| | - M Shibata
- Institute of Particle and Nuclear Studies, KEK, Tsukuba, Ibaraki 305-0801, Japan
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5
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Enomoto Y, Kuroda N, Michishio K, Kim CH, Higaki H, Nagata Y, Kanai Y, Torii HA, Corradini M, Leali M, Lodi-Rizzini E, Mascagna V, Venturelli L, Zurlo N, Fujii K, Ohtsuka M, Tanaka K, Imao H, Nagashima Y, Matsuda Y, Juhász B, Mohri A, Yamazaki Y. Synthesis of cold antihydrogen in a cusp trap. PHYSICAL REVIEW LETTERS 2010; 105:243401. [PMID: 21231524 DOI: 10.1103/physrevlett.105.243401] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/13/2010] [Indexed: 05/30/2023]
Abstract
We report here the first successful synthesis of cold antihydrogen atoms employing a cusp trap, which consists of a superconducting anti-Helmholtz coil and a stack of multiple ring electrodes. This success opens a new path to make a stringent test of the CPT symmetry via high precision microwave spectroscopy of ground-state hyperfine transitions of antihydrogen atoms.
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Affiliation(s)
- Y Enomoto
- RIKEN Advanced Science Institute, Hirosawa, Wako, Saitama 351-0198, Japan
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6
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Knudsen H, Torii HA, Charlton M, Enomoto Y, Georgescu I, Hunniford CA, Kim CH, Kanai Y, Kristiansen HPE, Kuroda N, Lund MD, McCullough RW, Tökesi K, Uggerhøj UI, Yamazaki Y. Target structure induced suppression of the ionization cross section for very low energy antiproton-hydrogen collisions. PHYSICAL REVIEW LETTERS 2010; 105:213201. [PMID: 21231302 DOI: 10.1103/physrevlett.105.213201] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/31/2010] [Indexed: 05/30/2023]
Abstract
Low energy antiprotons have been used previously to give benchmark data for theories of atomic collisions. Here we present measurements of the cross section for single, nondissociative ionization of molecular hydrogen for impact of antiprotons with kinetic energies in the range 2-11 keV, i.e., in the velocity interval of 0.3-0.65 a.u. We find a cross section which is proportional to the projectile velocity, which is quite unlike the behavior of corresponding atomic cross sections, and which has never previously been observed experimentally.
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Affiliation(s)
- H Knudsen
- Department of Physics and Astronomy, University of Aarhus, DK 8000, Denmark.
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7
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Gabrielse G, Kolthammer WS, McConnell R, Richerme P, Wrubel J, Kalra R, Novitski E, Grzonka D, Oelert W, Sefzick T, Zielinski M, Borbely JS, Fitzakerley D, George MC, Hessels EA, Storry CH, Weel M, Müllers A, Walz J, Speck A. Centrifugal separation of antiprotons and electrons. PHYSICAL REVIEW LETTERS 2010; 105:213002. [PMID: 21231298 DOI: 10.1103/physrevlett.105.213002] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/31/2010] [Indexed: 05/30/2023]
Abstract
Centrifugal separation of antiprotons and electrons is observed, the first such demonstration with particles that cannot be laser cooled or optically imaged. The spatial separation takes place during the electron cooling of trapped antiprotons, the only method available to produce cryogenic antiprotons for precision tests of fundamental symmetries and for cold antihydrogen studies. The centrifugal separation suggests a new approach for isolating low energy antiprotons and for producing a controlled mixture of antiprotons and electrons.
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Affiliation(s)
- G Gabrielse
- Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.
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8
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Knudsen H, Kristiansen HPE, Thomsen HD, Uggerhøj UI, Ichioka T, Møller SP, Hunniford CA, McCullough RW, Charlton M, Kuroda N, Nagata Y, Torii HA, Yamazaki Y, Imao H, Andersen HH, Tökesi K. Ionization of helium and argon by very slow antiproton impact. PHYSICAL REVIEW LETTERS 2008; 101:043201. [PMID: 18764326 DOI: 10.1103/physrevlett.101.043201] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/17/2008] [Indexed: 05/26/2023]
Abstract
The total cross sections for single ionization of helium and single and double ionization of argon by antiproton impact have been measured in the kinetic energy range from 3 to 25 keV using a new technique for the creation of intense slow antiproton beams. The new data provide benchmark results for the development of advanced descriptions of atomic collisions and we show that they can be used to judge, for the first time, the validity of the many recent theories.
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Affiliation(s)
- H Knudsen
- Department of Physics and Astronomy, University of Aarhus, Denmark
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9
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Kuroda N, Torii HA, Shibata M, Nagata Y, Barna D, Hori M, Horváth D, Mohri A, Eades J, Komaki K, Yamazaki Y. Radial compression of an antiproton cloud for production of intense antiproton beams. PHYSICAL REVIEW LETTERS 2008; 100:203402. [PMID: 18518532 DOI: 10.1103/physrevlett.100.203402] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/01/2007] [Indexed: 05/26/2023]
Abstract
We report here the radial compression of a large number of antiprotons ( approximately 5 x 10(5)) in a strong magnetic field under ultrahigh vacuum conditions by applying a rotating electric field. Compression without any resonant structures was demonstrated for a range of frequencies from the sideband frequency of 200 kHz to more than 1000 kHz. The radial compression achieved is a key technique for synthesizing and manipulating antihydrogen atoms and antiprotonic atoms.
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Affiliation(s)
- N Kuroda
- Atomic Physics Laboratory, RIKEN, Wako-shi, Saitama 351-0198, Japan
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Shibata M, Mohri A, Kanai Y, Enomoto Y, Yamazaki Y. Compact cryogenic system with mechanical cryocoolers for antihydrogen synthesis. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2008; 79:015112. [PMID: 18248071 DOI: 10.1063/1.2834876] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/25/2023]
Abstract
We have developed a compact cryogenic system which cools a vacuum chamber housing multi-ring trap electrodes (MRTs) of an antihydrogen synthesis trap using mechanical cryocoolers to achieve background pressure less than 10(-12) Torr. The vacuum chamber and the cryocoolers are thermally connected by copper strips of 99.9999% in purity. All components are installed within a diametric gap between the MRT of phi108 mm and a magnet bore of phi160 mm. An adjusting mechanism is prepared to align the MRT axis to the magnet axis. The vacuum chamber was successfully cooled down to 4.0 K after 14 h of cooling with heat load of 0.8 W.
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Affiliation(s)
- M Shibata
- Atomic Physics Laboratory, RIKEN, Wako 351-0198, Japan
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11
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Lodi Rizzini E, Venturelli L, Zurlo N. On the Chemical Reaction of Matter with Antimatter. Chemphyschem 2007; 8:1145-50. [PMID: 17492700 DOI: 10.1002/cphc.200700051] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Abstract
A chemical reaction between the building block antiatomic nucleus, the antiproton (p or H- in chemical notation), and the hydrogen molecular ion (H2+) has been observed by the ATHENA collaboration at CERN. The charged pair interact via the long-range Coulomb force in the environment of a Penning trap which is purpose-built to observe antiproton interactions. The net result of the very low energy collision of the pair is the creation of an antiproton-proton bound state, known as protonium (Pn), together with the liberation of a hydrogen atom. The Pn is formed in a highly excited, metastable, state with a lifetime against annihilation of around 1 micros. Effects are observed related to the temperature of the H2+ prior to the interaction, and this is discussed herein.
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Affiliation(s)
- Evandro Lodi Rizzini
- Dipartimento di Chimica e Fisica per l'Ingegneria e per i Materiali, Università di Brescia, 25133 Brescia, Italy.
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12
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Higaki H, Ito K, Saiki W, Omori Y, Okamoto H. Properties of non-neutral electron plasmas confined with a magnetic mirror field. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2007; 75:066401. [PMID: 17677366 DOI: 10.1103/physreve.75.066401] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/26/2007] [Indexed: 05/16/2023]
Abstract
A low energy non-neutral electron plasma was confined with a magnetic mirror field and an electrostatic potential to investigate the basic confinement properties of a simple magnetic mirror trap. The mirror ratio of the magnetic field was increased up to 5. As expected the confinement time became longer as a function of the mirror ratio. The axially integrated radial density profiles in equilibrium were measured and compared with a theoretical model. The axial electrostatic oscillations of a confined electron plasma were also observed.
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Affiliation(s)
- H Higaki
- Advanced Sciences of Matter, Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima, Hiroshima, 739-8530, Japan
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13
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Testing CPT invariance with antiprotonic atoms. Radiat Phys Chem Oxf Engl 1993 2007. [DOI: 10.1016/j.radphyschem.2006.01.037] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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14
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Tong XM, Hino K, Toshima N. State-specified protonium formation in low-energy antiproton-hydrogen-atom collisions. PHYSICAL REVIEW LETTERS 2006; 97:243202. [PMID: 17280281 DOI: 10.1103/physrevlett.97.243202] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/01/2006] [Indexed: 05/13/2023]
Abstract
We calculate state-specified protonium-formation cross sections in low-energy antiproton-hydrogen-atom collisions by solving the Chew-Goldberger-type integral equation directly instead of integrating the traditional differential scattering equation. Separating the incident wave from the total wave function, we calculate only the scattered outgoing wave propagated by the Green function. The scattering boundary condition is hence automatically satisfied without the tedious procedure of adjusting the wave function at the asymptotic region. The formed protonium atoms tend to be distributed in higher angular momentum l and higher principle quantum number n states as the collision energy increases. The present method has the advantage over the traditional ones in the sense that the required memory size and the computational time are much smaller, and accordingly the problem can be solved with higher accuracy.
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Affiliation(s)
- X M Tong
- Institute of Materials Science, Graduate School of Pure and Applied Sciences, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan.
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15
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Zurlo N, Amoretti M, Amsler C, Bonomi G, Carraro C, Cesar CL, Charlton M, Doser M, Fontana A, Funakoshi R, Genova P, Hayano RS, Jørgensen LV, Kellerbauer A, Lagomarsino V, Landua R, Rizzini EL, Macrì M, Madsen N, Manuzio G, Mitchard D, Montagna P, Posada LG, Pruys H, Regenfus C, Rotondi A, Testera G, Van der Werf DP, Variola A, Venturelli L, Yamazaki Y. Evidence for the production of slow antiprotonic hydrogen in vacuum. PHYSICAL REVIEW LETTERS 2006; 97:153401. [PMID: 17155325 DOI: 10.1103/physrevlett.97.153401] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/17/2006] [Indexed: 05/12/2023]
Abstract
We present evidence showing how antiprotonic hydrogen, the quasistable antiproton (p)-proton bound system, has been synthesized following the interaction of antiprotons with the molecular ion H2+ in a nested Penning trap environment. From a careful analysis of the spatial distributions of antiproton annihilation events, evidence is presented for antiprotonic hydrogen production with sub-eV kinetic energies in states around n=70, and with low angular momenta. The slow antiprotonic hydrogen may be studied using laser spectroscopic techniques.
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Affiliation(s)
- N Zurlo
- Dipartimento di Chimica e Fisica per l'Ingegneria e per i Materiali, Università di Brescia, 25133 Brescia, Italy
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16
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Takahashi S, Takatsuka K. On the validity range of the Born-Oppenheimer approximation: A semiclassical study for all-particle quantization of three-body Coulomb systems. J Chem Phys 2006; 124:144101. [PMID: 16626174 DOI: 10.1063/1.2173997] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The validity range of the Born-Oppenheimer (BO) approximation is studied with respect to the variation of the mass (m) of negatively charged particle by substituting an electron (e) with muon (mu) and antiproton (p) in hydrogen molecule cation. With the use of semiclassical quantization applied to these (ppe), (ppmu), and (ppp) under a constrained geometry, we estimate the energy difference of the non-BO vibronic ground state from the BO counterpart. It is found that the error in the BO approximation scales to the power of 3/2 to the mass of negative particles, that is, m(1.5). The origin of this clear-cut relation is analyzed based on the original perturbation theory due to Born and Oppenheimer, with which we show that the fifth order term proportional to m(5/4) is zero and thereby the first correction to the BO approximation should arise from the sixth order term that is proportional to m(6/4). Therefore, the validity range of the Born-Oppenheimer approximation is wider than that often mistakenly claimed to be proportional to m(1/4).
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Affiliation(s)
- Satoshi Takahashi
- Department of Basic Science, Graduate School of Arts and Sciences, University of Tokyo, Komaba, 153-8902 Tokyo, Japan.
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