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Barriga-Carrasco MD, Casas D, Morales R. Calculations on charge state and energy loss of argon ions in partially and fully ionized carbon plasmas. Phys Rev E 2016; 93:033204. [PMID: 27078472 DOI: 10.1103/physreve.93.033204] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/20/2015] [Indexed: 06/05/2023]
Abstract
The energy loss of argon ions in a target depends on their velocity and charge density. At the energies studied in this work, it depends mostly on the free and bound electrons in the target. Here the random-phase approximation is used for analyzing free electrons at any degeneracy. For the plasma-bound electrons, an interpolation between approximations for low and high energies is applied. The Brandt-Kitagawa (BK) model is employed to depict the projectile charge space distribution, and the stripping criterion of Kreussler et al. is used to determine its equilibrium charge state Q(eq). This latter criterion implies that the equilibrium charge state depends slightly on the electron density and temperature of the plasma. On the other hand, the effective charge Q(eff) is obtained as the ratio between the energy loss of the argon ion and that of the proton for the same plasma conditions. This effective charge Q(eff) is larger than the equilibrium charge state Q(eq) due to the incorporation of the BK charge distribution. Though our charge-state estimations are not exactly the same as the experimental values, our energy loss agrees quite well with the experiments. It is noticed that the energy loss in plasmas is higher than that in the same cold target of about, ∼42-62.5% and increases with carbon plasma ionization. This confirms the well-known enhanced plasma stopping. It is also observed that only a small part of this energy loss enhancement is due to an increase of the argon charge state, namely only ∼2.2 and 5.1%, for the partially and the fully ionized plasma, respectively. The other contribution is connected with a better energy transfer to the free electrons at plasma state than to the bound electrons at solid state of about, ∼38.8-57.4%, where higher values correspond to a fully ionized carbon plasma.
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Affiliation(s)
| | - David Casas
- E.T.S.I. Industriales, Universidad de Castilla-La Mancha, E-13071 Ciudad Real, Spain
- Max Born Institute, Max Born Str. 2a D-12489, Berlin, Germany
| | - Roberto Morales
- E.T.S.I. Industriales, Universidad de Castilla-La Mancha, E-13071 Ciudad Real, Spain
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Ortner A, Frank A, Blažević A, Roth M. Role of charge transfer in heavy-ion-beam-plasma interactions at intermediate energies. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015; 91:023104. [PMID: 25768615 DOI: 10.1103/physreve.91.023104] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/19/2013] [Indexed: 06/04/2023]
Abstract
In this paper we investigate the influence of the plasma properties on the charge state distribution of a swift heavy ion beam interacting with a plasma. The main finding is that the charge state in plasma can be lower than in cold matter. The charge state distribution is determined by the ionization and recombination rates which are balancing each other out. Both, ionization and recombination rates, as well as atomic excitation and decay rates, depend on the plasma parameters in different ways. These effects have been theoretically studied by Monte Carlo simulations on the example of an argon ion beam at an energy of 4MeV/u in a carbon plasma. This study covers a plasma parameter space ranging from ion densities from 10(18) to 10(23) cm(-3) and electron temperatures from 10 to 200 eV.
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Affiliation(s)
- A Ortner
- Institut für Kernphysik, Technische Universität Darmstadt, Schlossgartenstraße 9, 64289 Darmstadt, Germany
| | - A Frank
- Helmholtz-Institut Jena, Fröbelstieg 3, 07743 Jena, Germany
| | - A Blažević
- Helmholtz-Institut Jena, Fröbelstieg 3, 07743 Jena, Germany
- GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planckstraße 1, 64291 Darmstadt, Germany
| | - M Roth
- Institut für Kernphysik, Technische Universität Darmstadt, Schlossgartenstraße 9, 64289 Darmstadt, Germany
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Frank A, Blažević A, Bagnoud V, Basko MM, Börner M, Cayzac W, Kraus D, Hessling T, Hoffmann DHH, Ortner A, Otten A, Pelka A, Pepler D, Schumacher D, Tauschwitz A, Roth M. Energy loss and charge transfer of argon in a laser-generated carbon plasma. PHYSICAL REVIEW LETTERS 2013; 110:115001. [PMID: 25166546 DOI: 10.1103/physrevlett.110.115001] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/29/2012] [Indexed: 06/03/2023]
Abstract
This Letter reports on the measurement of the energy loss and the projectile charge states of argon ions at an energy of 4 MeV/u penetrating a fully ionized carbon plasma. The plasma of n(e)≈10(20) cm(-3) and T(e)≈180 eV is created by two laser beams at λ(Las)=532 nm incident from opposite sides on a thin carbon foil. The resulting plasma is spatially homogenous and allows us to record precise experimental data. The data show an increase of a factor of 2 in the stopping power which is in very good agreement with a specifically developed Monte Carlo code, that allows the calculation of the heavy ion beam's charge state distribution and its energy loss in the plasma.
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Affiliation(s)
- A Frank
- Institut für Kernphysik, TU Darmstadt, Schlossgartenstraße 9, Darmstadt D-64289, Germany
| | - A Blažević
- GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planckstraße 1, Darmstadt D-64291, Germany
| | - V Bagnoud
- GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planckstraße 1, Darmstadt D-64291, Germany
| | - M M Basko
- ITEP, B. Cheremushkinskaja 25, Moscow 117259, Russia
| | - M Börner
- Institut für Kernphysik, TU Darmstadt, Schlossgartenstraße 9, Darmstadt D-64289, Germany
| | - W Cayzac
- Institut für Kernphysik, TU Darmstadt, Schlossgartenstraße 9, Darmstadt D-64289, Germany
| | - D Kraus
- Institut für Kernphysik, TU Darmstadt, Schlossgartenstraße 9, Darmstadt D-64289, Germany
| | - T Hessling
- GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planckstraße 1, Darmstadt D-64291, Germany
| | - D H H Hoffmann
- Institut für Kernphysik, TU Darmstadt, Schlossgartenstraße 9, Darmstadt D-64289, Germany
| | - A Ortner
- Institut für Kernphysik, TU Darmstadt, Schlossgartenstraße 9, Darmstadt D-64289, Germany
| | - A Otten
- Institut für Kernphysik, TU Darmstadt, Schlossgartenstraße 9, Darmstadt D-64289, Germany
| | - A Pelka
- Institut für Kernphysik, TU Darmstadt, Schlossgartenstraße 9, Darmstadt D-64289, Germany
| | - D Pepler
- STFC Rutherford Appleton Laboratory, Harwell Oxford OX11 0QX, United Kingdom
| | - D Schumacher
- Institut für Kernphysik, TU Darmstadt, Schlossgartenstraße 9, Darmstadt D-64289, Germany
| | - An Tauschwitz
- Institut für Theoretische Physik, Universität Frankfurt, Max-von-Laue-Strasse 1, Frankfurt 60438, Germany
| | - M Roth
- Institut für Kernphysik, TU Darmstadt, Schlossgartenstraße 9, Darmstadt D-64289, Germany
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