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Energy loss of protons in hydrogen plasma

Published online by Cambridge University Press:  13 February 2018

R. Cheng ,
X. Zhou ,
Y. Wang ,
Y. Lei ,
Y. Chen ,
X. Ma ,
G. Xiao ,
Y. Zhao ,
J. Ren  and
D. Huo
...Show all authors
R. Cheng*
Affiliation:
Institute of Modern Physics, Chinese Academy of Sciences, 509 Nanchang Rd., Lanzhou 730000, China
X. Zhou
Affiliation:
Institute of Modern Physics, Chinese Academy of Sciences, 509 Nanchang Rd., Lanzhou 730000, China
Y. Wang
Affiliation:
Institute of Modern Physics, Chinese Academy of Sciences, 509 Nanchang Rd., Lanzhou 730000, China
Y. Lei
Affiliation:
Institute of Modern Physics, Chinese Academy of Sciences, 509 Nanchang Rd., Lanzhou 730000, China
Y. Chen
Affiliation:
Institute of Modern Physics, Chinese Academy of Sciences, 509 Nanchang Rd., Lanzhou 730000, China
X. Ma
Affiliation:
Institute of Modern Physics, Chinese Academy of Sciences, 509 Nanchang Rd., Lanzhou 730000, China
G. Xiao
Affiliation:
Institute of Modern Physics, Chinese Academy of Sciences, 509 Nanchang Rd., Lanzhou 730000, China
Y. Zhao*
Affiliation:
School of Science, Xi'an Jiaotong University, Xi'an, China
J. Ren
Affiliation:
School of Science, Xi'an Jiaotong University, Xi'an, China
D. Huo
Affiliation:
School of Science, Xi'an Jiaotong University, Xi'an, China
H. Peng
Affiliation:
School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, China
S. Savin
Affiliation:
State Scientific Center Russian Federation – Institute for Theoretical and Experimental Physics of National Research Center “Kurchatov Institute”, B. Cheremushkinskaya 25, Moscow 117259, Russia
R. Gavrilin
Affiliation:
State Scientific Center Russian Federation – Institute for Theoretical and Experimental Physics of National Research Center “Kurchatov Institute”, B. Cheremushkinskaya 25, Moscow 117259, Russia National Research Nuclear University MEPHI (Moscow Engineering and Physics Institute) Kashirskoe shosse, 31,115409 Russia
I. Roudskoy
Affiliation:
State Scientific Center Russian Federation – Institute for Theoretical and Experimental Physics of National Research Center “Kurchatov Institute”, B. Cheremushkinskaya 25, Moscow 117259, Russia National Research Nuclear University MEPHI (Moscow Engineering and Physics Institute) Kashirskoe shosse, 31,115409 Russia
A. Golubev
Affiliation:
State Scientific Center Russian Federation – Institute for Theoretical and Experimental Physics of National Research Center “Kurchatov Institute”, B. Cheremushkinskaya 25, Moscow 117259, Russia National Research Nuclear University MEPHI (Moscow Engineering and Physics Institute) Kashirskoe shosse, 31,115409 Russia
*
Author for correspondence: Rui Cheng, E-mail: [email protected]; Yongtao Zhao, E-mail: [email protected]
Author for correspondence: Rui Cheng, E-mail: [email protected]; Yongtao Zhao, E-mail: [email protected]
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Abstract

This paper reports the measurement of the energy loss of protons at the energy of 100 keV penetrating a partially ionized hydrogen plasma. The plasma of ne ≈ 1015–16 cm−3; Te ≈ 1–2 eV and lifetime of about 8 µs is created by the hydrogen gas discharge. The experimental results show an increase of a factor of 2.8 in the energy loss, which are in good agreement with the Bethe, Standard Stopping Model, Li–Petrasso and Vlasov models’ predictions within the error limit. The Bethe–Bloch Coulomb logarithm term is found to increase by a factor of 4.0 for free electrons as compared with the situation where bound electrons prevail. The potential application of protons energy loss for diagnosing the electron density in plasma is proposed too.

Keywords

Coulomb logarithmelectron densityenergy loss enhancementplasmaprotons
Type
Research Article
Information
Laser and Particle Beams , Volume 36 , Issue 1 , March 2018 , pp. 98 - 104
Copyright
Copyright © Cambridge University Press 2018 

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References

Belyaev, G, Basko, M, Cherkasov, A, Golubev, A, Fertman, A, Roudskoy, I, Savin, S, Sharkov, B, Turtikov, V, Arzumanov, A, Borisenko, A, Gorlachev, I, Lysukhin, S, Hoffmann, DHH and Tauschwitz, A (1996) Measurement of the Coulomb energy loss by fast protons in a plasma target. Physical Review E 53, 2701–2707.CrossRefGoogle Scholar
Bethe, H (1930) Zur theorie des Durchgangs schneller Korpus-kularstrahlen durch materie. Annalen der Physik (Leipzig) 397, 325–400.CrossRefGoogle Scholar
Bloch, F (1933) Zur Bremsung rasch bewegter Teilchen beim Durchgang durch Materie. Annalen der Physik (Leipzig) 408, 285–320.CrossRefGoogle Scholar
Bock, R, Hofmann, I and Arnold, RC (1984) Inertial fusion with heavy ion beams. Nuclear Science and Applications 2, 97–126.Google Scholar
Bohr, N (1913) On the constitution of atoms and molecules. Philosophical Magazine 26, 1–25.Google Scholar
Cayzac, W, Bagnoud, V, Basko, MM, Blažević, A, Frank, A, Gericke, DO, Hallo, L, Malka, G, Ortner, A, Tauschwitz, A, Vorberger, J and Roth, M (2015) Predictions for the energy loss of light ions in laser-generated plasmas at low and medium velocities. Physical Review E 92, 053109.CrossRefGoogle ScholarPubMed
Cayzac, W, Frank, WA, Ortner, A, Bagnoud, V, Basko, MM, Bedacht, S, Bläser, C, Blažević, A, Busold, S, Deppert, O, Ding, J, Ehret, M, Fiala, P, Frydrych, S, Gericke, DO, Hallo, L, Helfrich, J, Jahn, D, Kjartansson, E, Knetsch, A, Kraus, D, Malka, G, Neumann, NW, PéPitone, K, Pepler, D, Sander, S, Schaumann, G, Schlege, T, Schroeter, N, Schumacher, D, Seibert, M, Tauschwitz, An, Vorberger, J, Wagner, F, Weih, S, Zobus, Y and Roth, M (2017) Experimental discrimination of ion stopping models near the Bragg peak in highly ionized matter. Nature Communications 8, 15693.CrossRefGoogle ScholarPubMed
Chen, YH, Cheng, R, Zhang, M, Zhou, XM, Zhao, YT, Wang, YY, Lei, Y, Ma, PP, Wang, Z, Ren, JR, Ma, XW and Xiao, GQ (2018) Experimental investigation on diagnosing the effective atomic density in a gas-type target by using the proton energy loss. Acta Physica Sinica 4, 04410.Google Scholar
Cheng, R, Zhou, X, Sun, Y, Lei, Y, Wang, X and Xu, G (2011) A platform for highly charged ions: surface–foil–gas–plasma interaction at the IMP. Physica Scripta T144, 014015.CrossRefGoogle Scholar
Cheng, R, Zhao, Y, Zhou, X, Li, Y, Wang, Y, Lei, Y, Sun, Y, Wang, X, Yu, Y, Ren, J, Liu, S, Xiao, G and Hoffmann, DHH (2013) A study of highly charged ions interacting with a plasma target at the Institute of Modern Physics. Physica Scripta T156, 014074.CrossRefGoogle Scholar
Deng, J, Zhao, Y, Cheng, R, Zhou, X, Peng, H, Wang, Y, Lei, Y, Liu, S, Sun, Y, Ren, J, Xiao, J, Ma, L, Xiao, G, Gavrilin, R, Savin, S, Golubev, A and Hoffmann, DHH (2015) Investigation on the energy loss in low energy protons interacting with hydrogen plasma. Acta Physica Sinica 64, 145202.CrossRefGoogle Scholar
Deutsch, C (1986) Inertial confinement fusion driven by intense ion beams. Physics (Paris) 11, 1.Google Scholar
Deutsch, C and Fromy, P (1995) Correlated ion stopping in a dense classical plasma. Physical Review E 51, 632–641.CrossRefGoogle Scholar
Deutsch, C and Maynard, G (2016) Ion stopping in dense plasmas: a basic physics approach. Matter and Radiation at Extremes 1, 277–307.CrossRefGoogle Scholar
Deutsch, C, Maynard, G, Bimbot, R, Gardes, D, Della-Negra, S, Dumail, M, Kubica, B, Richard, A, Rivet, MF and Servajean, A (1989) Ion beam-plasma interaction: a standard model approach. Nuclear Instruments and Methods A 278, 38–43.CrossRefGoogle Scholar
Dietrich, KG, Hoffmann, DHH, Boggasch, E, Jacoby, J, Wahl, H, Elfers, M, Haas, CR, Dubenkov, VP and Golubev, AA (1992) Charge state of fast heavy ions in a hydrogen plasma. Physical Review Letters 69, 3623–3626.CrossRefGoogle Scholar
Fertman, AD, Mutin, TY, Basko, MM, Golubev, AA, Kulevoy, TV, Kuybeda, RP, Pershin, VI, Roudskoy, IV and Sharkov, BY (2006) Stopping power measurements for 100-keV/u Cu ions in hydrogen and nitrogen. Nuclear Instrumnets and Methods B 247, 199–204.CrossRefGoogle Scholar
Frank, A, Blažević, A, Grande, PL, Harres, K, Heßling, T, Hoffmann, DHH, Knobloch-Maas, R, Kuznetsov, PG, Nürnberg, F, Pelka, A, Schaumann, G, Schiwietz, G, Schökel, A, Schollmeier, M, Schumacher, D, Schümtrumpf, J, Vatulin, VV, Vinokurov, OA and Roth, M (2010) Energy loss of argon in a laser-generated carbon plasma. Physical Review E 81, 026401.CrossRefGoogle Scholar
Frank, A, Blažević, A, Bagnoud, V, Basko, MM, Börner, M, Cayzac, W, Karaus, D, Heßling, T, Hoffmann, DHH, Ortner, A, Otten, A, Pelka, A, Pepler, D, Schumacher, D, Tauschwitz, A and Roth, M (2013) Energy loss and charge transfer of argon in a laser-generated carbon plasma. Physical Review Letters 110, 115001.CrossRefGoogle Scholar
Gardes, D, Servajean, A, Kubica, B, Fleurier, C, Hong, D, Deutsch, C and Maynard, G (1992) Stopping of multicharged ions in dense and fully ionized hydrogen. Physical Review A 46, 5101–5111.CrossRefGoogle ScholarPubMed
Golubev, A, Basko, M, Fertman, A, Kozodaev, A, Mesheryakov, N, Sharkov, B, Vishnevskiy, A, Fortov, V, Kulish, M, Gryaznov, V, Mintsev, V, Golubev, E, Pukhov, A, Smirnov, V, Funk, U, Stoewe, S, Stetter, M, Flierl, H-P, Hoffmann, DHH, Jacoby, J and Iosilevski, I (1998) Dense plasma diagnostics by fast proton beams. Physical Review E 57, 3363–3367.CrossRefGoogle Scholar
Golubev, A, Turtikov, V, Fertman, A, Roudskoy, I, Sharkov, B, Geissel, M, Neuner, U, Roth, M, Tauschwitz, A, Wahl, H, Hoffmann, DHH, Funk, U, Suess, W and Jacoby, J (2001) Experimental investigation of the effective charge state of ions in beam–plasma interaction. Nuclear Instruments and Methods A 464, 247–252.CrossRefGoogle Scholar
Grabowski, PE, Surh, MP, Richards, DF, Graziani, FR and Murillo, MS (2013) Molecular dynamics simulations of classical stopping power. Physical Review Letters 111, 215002.CrossRefGoogle ScholarPubMed
Grande, PL and Schiwietz, G (1998) Impact-parameter dependence of the electronic energy loss of fast ions. Physical Review A 58, 3796–3801.CrossRefGoogle Scholar
Hoffmann, DHH, Weyrich, K, Wahl, H, Gardes, D, Bimbot, R and Fleurier, C (1990) Energy loss of heavy ions in a plasma target. Physical Review A 42, 2313–2321.CrossRefGoogle Scholar
Hoffmann, DHH, Dietrich, KG, Laux, W, Boggasch, E, Mahrt-Olt, K, Heimrich, B, Wahl, H, Golubev, AA and Dubenkov, VP (1991) Interaction of heavy ions with hot ionized matter. Supplementary Zeitschrift für Physik D 21, 105.CrossRefGoogle Scholar
Hoffmann, DHH, Jacoby, J, Laux, W, Magistris, Md, Boggasch, E, Spiller, P, Stoeckl, C, Tauschwitz, A, Weyrich, K, Chabot, M and Gardes, D (1994) Energy loss of fast heavy ions in plasmas. Nuclear Instruments and Methods B 90, 1–9.CrossRefGoogle Scholar
Jackson, J (1975) Classical Electrodynamics. New York: Wiley.Google Scholar
Jacoby, J, Hoffmann, DHH, Laux, W, Müller, RW, Wahl, H, Weyrich, K, Boggasch, E, Heimrich, B, Stöckl, C, Wetzler, H and Miyamoto, S (1995) Stopping of heavy ions in a hydrogen plasma. Physical Review Letters 74, 1550–1553.CrossRefGoogle Scholar
Keefe, D (1982) Inertial confinement fusion. Annual Review of Nuclear and Particle Science 32, 391–441.CrossRefGoogle Scholar
Kuznetsov, AP, Bashutin, OA, Byalkovskii, OA, Vovchenko, ED, Korotkov, KE and Savjolov, AS (2008) Interferometric studies of the electron density dynamics at the periphery of a micropinch discharge. Plasma Physics Reports 34, 193–198.CrossRefGoogle Scholar
Kuznetsov, AP, Byalkovskii, OA, Gavrilin, RO, Golubev, AA, Gubskii, KL, Rudskoi, IV, Savin, SM, Turtikov, VI and Khudomyasov, AV (2013) Measurements of the electron density and degree of plasma ionization in a plasma target based on a linear electric discharge in hydrogen. Plasma Physics Reports 39, 248–254.CrossRefGoogle Scholar
Li, CK and Petrasso, RD (1993) Charged-particle stopping powers in inertial confinement fusion plasmas. Physical Review Letters 70, 3059–3062.CrossRefGoogle ScholarPubMed
Lindhard, J (1954) On the properties of a gas of charged particles. Det Kongelige Danske Videnskabernes Selskab Matematisk-fysiske Meddelelser 28(8), 1–57.Google Scholar
Maynard, G and Deutsch, C (1982) Energy loss and straggling o tonss with any velocity in dense plasmas at any temperature. Physical Review A 26, 665–668.CrossRefGoogle Scholar
Mehlhorn, TA (1981) A finite material temperature model for ion energy deposition in ion-driven inertial confinement fusion targets. Journal of Applied Physics 52, 6522.CrossRefGoogle Scholar
Mintsev, V, Gryaznov, V, Kulish, M, Fortov, V, Sharkov, B, Golubev, A, Fertman, A, Mescheryakov, N, Suess, W, Hoffmann, DHH, Stetter, M, Bock, R, Roth, M, Stoeckl, C and Gardes, D (1998) On measurements of stopping power in explosively driven plasma targets. Nuclear Instruments and Methods A 415, 715–719.CrossRefGoogle Scholar
Mintsev, V, Gryaznov, V, Kulish, M, Filimonov, A, Fortov, V, Sharkov, B, Golubev, A, Fertman, A, Turtikov, V, Vishnevskiy, A, Kozodaev, A, Hoffmann, DHH, Funk, U, Stoewe, S, Geisel, M, Jacoby, J, Gardes, D and Chabot, M (1999) Stopping power of proton beam in a weakly non-ideal xenon plasma. Contributions to Plasma Physics 39, 45–48.CrossRefGoogle Scholar
Nardi, E and Zinamon, Z (1982) Charge state and slowing of fast ions in a plasma. Physical Review Letters 49, 1251–1254.CrossRefGoogle Scholar
Nersisyan, HB and Deutsch, C (2011) Stopping of ions in a plasma irradiated by an intense laser field. Laser and Particle Beams 29, 389–397.CrossRefGoogle Scholar
Peter, T and Meyer-Ter-Vehn, J (1991a) Energy loss of heavy ions in dense plasma. I. Linear and nonlinear Vlasov theory for the stopping power. Physical Review A 43, 1998–2014.CrossRefGoogle ScholarPubMed
Peter, T and Meyer-Ter-Vehn, J (1991b) Energy loss of heavy ions in dense plasma. II. Nonequilibrium charge states and stopping powers. Physical Review A 43, 2015–2030.CrossRefGoogle ScholarPubMed
Renk, T, Mann, G and Torres, G (2008) Performance of a pulsed ion beam with a renewable cryogenically cooled ion source. Laser and Particle Beams 26, 545–554.CrossRefGoogle Scholar
Roth, M, Cowan, TE, Key, MH, Hatchett, SP, Brown, C, Fountain, W, Johnson, J, Pennington, DM, Snavely, RA, Wilks, SC, Yasuike, K, Ruhl, H, Pegoraro, F, Bulanov, SV, Campbell, EM, Perry, MD and Powell, H (2001) Fast ignition by intense laser-accelerated proton beams. Physical Review Letters 86, 436–439.CrossRefGoogle ScholarPubMed
Servajean, A, Gardes, D, Bimbot, R, Dumail, M, Kubica, B, Richard, A, Rivet, MF, Fleurier, C, Hong, D, Deutsch, C and Maynard, G (1992) Stopping of multicharged ions in dense and fully ionized hydrogen. Journal of Applied Physics 71, 2587.CrossRefGoogle Scholar
Sharkov, BY, Hoffmann, DHH, Golubev, AA and Zhao, YT (2016) High energy density physics with intense ion beams. Matter and Radiation at Extremes 1, 28–47.CrossRefGoogle Scholar
Sigmund, P and Schinner, A (2000) Binary stopping theory for swift heavy ions. European Physical Journal D 12, 425–434.CrossRefGoogle Scholar
Sigmund, P and Schinner, A (2016) Progress in understanding heavy-ion stopping. Nuclear Instruments and Methods B 382, 15–25.CrossRefGoogle Scholar
Tabak, M, Hammer, J, Glinsky, ME, Kruer, WL, Wilks, SC, Woodworth, J, Campbell, ME, Perry, MD and Mason, RJ (1994) Ignition and high gain with ultrapowerful lasers. Physics of Plasmas 1, 1626–1634.CrossRefGoogle Scholar
Trubnikov, B (1965) Particle Interactions in a Fully Ionized Plasma. New York: Consultant's Bureau.Google Scholar
Weyrich, K, Hoffmann, DHH, Jacoby, J, Wahl, H, Noll, R, Haas, R, Kunze, H, Bimbot, R, Gardes, D, Rivet, M-F, Deutsch, C and Fleurier, C (1989) Energy loss of heavy ions in a hydrogen discharge plasma. Nuclear Instruments and Methods A 278, 52–55.CrossRefGoogle Scholar
Xu, G, Barriga-Carrasco, MD, Blazevic, A, Borovkov, B, Casas, D, Cistakov, K, Gavrilin, R, Iberler, M, Jacoby, J, Loisch, G, Morales, R, Mäder, R, Qin, S-X, Rienecker, T, Rosmej, O, Savin, S, Schönlein, A, Weyrich, K, Wiechula, J, Wieser, J, Xiao, GQ and Zhao, YT (2017) Determination of hydrogen density by swift heavy ions. Physical Review Letters 119, 204801.CrossRefGoogle ScholarPubMed
Young, FC, Mosher, D, Stephanakis, SJ, Goldstein, SA and Mehlhorn, TA (1982) Measurements of enhanced stopping of 1-MeV deuterons in target-ablation plasmas. Physical Review Letters 49, 549–553.CrossRefGoogle Scholar
Zhao, Y, Hu, Z, Cheng, R, Wang, Y, Peng, H, Goiubev, A, Zhang, X, Lu, X, Zhang, D, Zhou, X, Wang, X, Xu, G, Ren, J, Li, Y, Lei, Y, Sun, Y, Zhao, J, Wang, T, Wang, Y and Xiao, G (2012) Trends in heavy ion interaction with plasma. Laser and Particle Beams 30, 679–706.CrossRefGoogle Scholar
Zylstra, AB, Frenje, JA, Grabowski, PE, Li, CK, Collins, GW, Fitzsimmons, P, Glenzer, S, Graziani, F, Hansen, SB, Hu, SX, Johnson, MG, Keiter, P, Reynolds, H, Rygg, JR, Séguin, FH and Petrasso, RD (2015) Measurement of charged-particle stopping in warm dense plasma. Physical Review Letters 114, 215002.CrossRefGoogle ScholarPubMed