Detailed study of non-equilibrium characteristics of quasi-neutral TNSA plasmas

In an experiment performed in November 2022 at the petawatt (PW) laser facility at Vega III located in Salamanca-Spain, we have studied the successful production of several radioisotopes using protons accelerated by the Target Normal Sheath Acceleration (TNSA) mechanism (Rodrigues et al. [1]).The experimental proton energy distribution recorded on a shot-to-shot basis and confirmed in a follow up experiment (K.Batani et al. [2]), allowed us to derive the number of nuclear reactions taking place in different targets on a single shot.From this analysis, using the ratio of the yields 11 C/ 7 Be, we obtained an effective "single shot" temperature of the TNSA plasma.We used this value to evaluate the yield of  particles from the reaction p+ 11 B → 3 which may reach 1.6±0.510 9 in 2.From the fluctuations of the protons and the fusion yields, we derived a "TNSA-Equation of State" (EoS), The deviation of such "EoS" from the classical ideal gas limit is well reproduced by the soliton solution of the Korteweg-de Vries (KdV) equation for each shot.We stress that the KdV fit is phenomenological, not a claim about the plasma satisfying KdV conditions.Further experimental and theoretical efforts are needed to clarify the nature of the deviation from the ideal case.

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Journal
High Power Laser Science and Engineering
Published
2026-08-03
DOI
https://doi.org/10.1017/hpl.2026.10188
Primary Topic
Laser-Plasma Interactions and Diagnostics
Type
article
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article

Detailed study of non-equilibrium characteristics of quasi-neutral TNSA plasmas

Katarzyna Liliana Batani, C. Verona, M. R. D. Rodrigues, Giada Petringa et al.
High Power Laser Science and Engineering
Laser-Plasma Interactions and Diagnostics
article

Detailed study of non-equilibrium characteristics of quasi-neutral TNSA plasmas

Katarzyna Liliana Batani, C. Verona, M. R. D. Rodrigues, Giada Petringa, Jun Xu, G. G. Rapisarda, D. Batani, M. Krupka, D. Giulietti, G.A.P. Cirrone, V. Istokskaia, M. La Cognata, J. A. Pérez-Hernández, G. L. Guardo, R. Lera, L. Volpe, S. Palmerini, Aaron McNamee, D. Lattuada, Sushil Singh, Evgeny Filippov, H. Larreur, Shubham Agarwal, Ferdinanda Consoli, Daniel Molloy, Zhe Zhu, A. Bonasera, Riccardo De Angelis, Michael Ehret
article en

Abstract

In an experiment performed in November 2022 at the petawatt (PW) laser facility at Vega III located in Salamanca-Spain, we have studied the successful production of several radioisotopes using protons accelerated by the Target Normal Sheath Acceleration (TNSA) mechanism (Rodrigues et al. [1]).The experimental proton energy distribution recorded on a shot-to-shot basis and confirmed in a follow up experiment (K.Batani et al. [2]), allowed us to derive the number of nuclear reactions taking place in different targets on a single shot.From this analysis, using the ratio of the yields 11 C/ 7 Be, we obtained an effective "single shot" temperature of the TNSA plasma.We used this value to evaluate the yield of  particles from the reaction p+ 11 B → 3 which may reach 1.6±0.510 9 in 2.From the fluctuations of the protons and the fusion yields, we derived a "TNSA-Equation of State" (EoS), The deviation of such "EoS" from the classical ideal gas limit is well reproduced by the soliton solution of the Korteweg-de Vries (KdV) equation for each shot.We stress that the KdV fit is phenomenological, not a claim about the plasma satisfying KdV conditions.Further experimental and theoretical efforts are needed to clarify the nature of the deviation from the ideal case.

High Power Laser Science and Engineering
University of Pisa (IT), National Agency for New Technologies, Energy and Sustainable Economic Development (IT), University of Rome Tor Vergata (IT), Tongji University (CN), Queen's University Belfast (GB), Université de Bordeaux (FR), Istituto Nazionale di Fisica Nucleare (IT), Universidad de Salamanca (ES), Chinese Academy of Sciences (CN), Charles University (CZ), Università degli Studi di Enna Kore (IT), University of Perugia (IT), Mitchell Institute (US), University of Catania (IT), FZU ‒ Institute of Physics of the Academy of Sciences of the Czech Republic (CZ), Institute of Plasma Physics and Laser Microfusion (PL), Spanish Center for Pulsed Lasers (ES), Istituto Nazionale di Fisica Nucleare, Sezione di Pisa (IT), Universidad Politécnica de Madrid (ES), Texas A&M University (US)
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Laser-Plasma Interactions and Diagnostics
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