Formalism

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F H Seguin - One of the best experts on this subject based on the ideXlab platform.

  • experimental validation of low z ion stopping Formalisms around the bragg peak in high energy density plasmas
    Physical Review Letters, 2019
    Co-Authors: J A Frenje, Paul E Grabowski, C K Li, A B Zylstra, Gatu M Johnson, R Florido, R C Mancini, T Nagayama, H G Rinderknecht, F H Seguin
    Abstract:

    : We report on the first accurate validation of low-Z ion-stopping Formalisms in the regime ranging from low-velocity ion stopping-through the Bragg peak-to high-velocity ion stopping in well-characterized high-energy-density plasmas. These measurements were executed at electron temperatures and number densities in the range of 1.4-2.8 keV and 4×10^{23}-8×10^{23}  cm^{-3}, respectively. For these conditions, it is experimentally demonstrated that the Brown-Preston-Singleton Formalism provides a better description of the ion stopping than other Formalisms around the Bragg peak, except for the ion stopping at v_{i}∼0.3v_{th}, where the Brown-Preston-Singleton Formalism significantly underpredicts the observation. It is postulated that the inclusion of nuclear-elastic scattering, and possibly coupled modes of the plasma ions, in the modeling of the ion-ion interaction may explain the discrepancy of ∼20% at this velocity, which would have an impact on our understanding of the alpha energy deposition and heating of the fuel ions, and thus reduce the ignition threshold in an ignition experiment.

  • experimental validation of low z ion stopping Formalisms around the bragg peak in high energy density plasmas
    Physical Review Letters, 2019
    Co-Authors: J A Frenje, Paul E Grabowski, A B Zylstra, Gatu M Johnson, R Florido, R C Mancini, T Nagayama, H G Rinderknecht, H Sio, F H Seguin
    Abstract:

    We report on the first accurate validation of low-$Z$ ion-stopping Formalisms in the regime ranging from low-velocity ion stopping---through the Bragg peak---to high-velocity ion stopping in well-characterized high-energy-density plasmas. These measurements were executed at electron temperatures and number densities in the range of 1.4--2.8 keV and $4\ifmmode\times\else\texttimes\fi{}{10}^{23}--8\ifmmode\times\else\texttimes\fi{}{10}^{23}\text{ }\text{ }{\mathrm{cm}}^{\ensuremath{-}3}$, respectively. For these conditions, it is experimentally demonstrated that the Brown-Preston-Singleton Formalism provides a better description of the ion stopping than other Formalisms around the Bragg peak, except for the ion stopping at ${v}_{i}\ensuremath{\sim}0.3{v}_{\mathrm{th}}$, where the Brown-Preston-Singleton Formalism significantly underpredicts the observation. It is postulated that the inclusion of nuclear-elastic scattering, and possibly coupled modes of the plasma ions, in the modeling of the ion-ion interaction may explain the discrepancy of $\ensuremath{\sim}20%$ at this velocity, which would have an impact on our understanding of the alpha energy deposition and heating of the fuel ions, and thus reduce the ignition threshold in an ignition experiment.

J A Frenje - One of the best experts on this subject based on the ideXlab platform.

  • experimental validation of low z ion stopping Formalisms around the bragg peak in high energy density plasmas
    Physical Review Letters, 2019
    Co-Authors: J A Frenje, Paul E Grabowski, C K Li, A B Zylstra, Gatu M Johnson, R Florido, R C Mancini, T Nagayama, H G Rinderknecht, F H Seguin
    Abstract:

    : We report on the first accurate validation of low-Z ion-stopping Formalisms in the regime ranging from low-velocity ion stopping-through the Bragg peak-to high-velocity ion stopping in well-characterized high-energy-density plasmas. These measurements were executed at electron temperatures and number densities in the range of 1.4-2.8 keV and 4×10^{23}-8×10^{23}  cm^{-3}, respectively. For these conditions, it is experimentally demonstrated that the Brown-Preston-Singleton Formalism provides a better description of the ion stopping than other Formalisms around the Bragg peak, except for the ion stopping at v_{i}∼0.3v_{th}, where the Brown-Preston-Singleton Formalism significantly underpredicts the observation. It is postulated that the inclusion of nuclear-elastic scattering, and possibly coupled modes of the plasma ions, in the modeling of the ion-ion interaction may explain the discrepancy of ∼20% at this velocity, which would have an impact on our understanding of the alpha energy deposition and heating of the fuel ions, and thus reduce the ignition threshold in an ignition experiment.

  • experimental validation of low z ion stopping Formalisms around the bragg peak in high energy density plasmas
    Physical Review Letters, 2019
    Co-Authors: J A Frenje, Paul E Grabowski, A B Zylstra, Gatu M Johnson, R Florido, R C Mancini, T Nagayama, H G Rinderknecht, H Sio, F H Seguin
    Abstract:

    We report on the first accurate validation of low-$Z$ ion-stopping Formalisms in the regime ranging from low-velocity ion stopping---through the Bragg peak---to high-velocity ion stopping in well-characterized high-energy-density plasmas. These measurements were executed at electron temperatures and number densities in the range of 1.4--2.8 keV and $4\ifmmode\times\else\texttimes\fi{}{10}^{23}--8\ifmmode\times\else\texttimes\fi{}{10}^{23}\text{ }\text{ }{\mathrm{cm}}^{\ensuremath{-}3}$, respectively. For these conditions, it is experimentally demonstrated that the Brown-Preston-Singleton Formalism provides a better description of the ion stopping than other Formalisms around the Bragg peak, except for the ion stopping at ${v}_{i}\ensuremath{\sim}0.3{v}_{\mathrm{th}}$, where the Brown-Preston-Singleton Formalism significantly underpredicts the observation. It is postulated that the inclusion of nuclear-elastic scattering, and possibly coupled modes of the plasma ions, in the modeling of the ion-ion interaction may explain the discrepancy of $\ensuremath{\sim}20%$ at this velocity, which would have an impact on our understanding of the alpha energy deposition and heating of the fuel ions, and thus reduce the ignition threshold in an ignition experiment.

Yoichi Kazama - One of the best experts on this subject based on the ideXlab platform.

  • relating green schwarz and extended pure spinor Formalisms by similarity transformation
    Journal of High Energy Physics, 2004
    Co-Authors: Yuri Aisaka, Yoichi Kazama
    Abstract:

    In order to gain deeper understanding of pure-spinor-based Formalisms of superstring, an explicit similarity transformation is constructed which provides operator mapping between the light-cone Green-Schwarz (LCGS) Formalism and the extended pure spinor (EPS) Formalism, a recently proposed generalization of the Berkovits' Formalism in an enlarged space. By applying a systematic procedure developed in our previous work, we first construct an analogous mapping in the bosonic string relating the BRST and the light-cone formulations. This provides sufficient insights and allows us to construct the desired mapping in the more intricate case of superstring as well. The success of the construction owes much to the enlarged field space where pure spinor constraints are removed and to the existence of the ``B-ghost'' in the EPS Formalism.

  • Operator Mapping between RNS and Extended Pure Spinor Formalisms for Superstring
    Journal of High Energy Physics, 2003
    Co-Authors: Yuri Aisaka, Yoichi Kazama
    Abstract:

    An explicit operator mapping in the form of a similarity transformation is constructed between the RNS Formalism and an extension of the pure spinor Formalism (to be called EPS Formalism) recently proposed by the present authors. Due to the enlarged field space of the EPS Formalism, where the pure spinor constraints are removed, the mapping is completely well-defined in contrast to the one given previously by Berkovits in the original pure spinor (PS) Formalism. This map provides a direct demonstration of the equivalence of the cohomologies of the RNS and the EPS Formalisms and is expected to be useful for better understanding of various properties of the PS and EPS Formalisms. Furthermore, the method of construction, which makes systematic use of the nilpotency of the BRST charges, should find a variety of applications.

R Florido - One of the best experts on this subject based on the ideXlab platform.

  • experimental validation of low z ion stopping Formalisms around the bragg peak in high energy density plasmas
    Physical Review Letters, 2019
    Co-Authors: J A Frenje, Paul E Grabowski, C K Li, A B Zylstra, Gatu M Johnson, R Florido, R C Mancini, T Nagayama, H G Rinderknecht, F H Seguin
    Abstract:

    : We report on the first accurate validation of low-Z ion-stopping Formalisms in the regime ranging from low-velocity ion stopping-through the Bragg peak-to high-velocity ion stopping in well-characterized high-energy-density plasmas. These measurements were executed at electron temperatures and number densities in the range of 1.4-2.8 keV and 4×10^{23}-8×10^{23}  cm^{-3}, respectively. For these conditions, it is experimentally demonstrated that the Brown-Preston-Singleton Formalism provides a better description of the ion stopping than other Formalisms around the Bragg peak, except for the ion stopping at v_{i}∼0.3v_{th}, where the Brown-Preston-Singleton Formalism significantly underpredicts the observation. It is postulated that the inclusion of nuclear-elastic scattering, and possibly coupled modes of the plasma ions, in the modeling of the ion-ion interaction may explain the discrepancy of ∼20% at this velocity, which would have an impact on our understanding of the alpha energy deposition and heating of the fuel ions, and thus reduce the ignition threshold in an ignition experiment.

  • experimental validation of low z ion stopping Formalisms around the bragg peak in high energy density plasmas
    Physical Review Letters, 2019
    Co-Authors: J A Frenje, Paul E Grabowski, A B Zylstra, Gatu M Johnson, R Florido, R C Mancini, T Nagayama, H G Rinderknecht, H Sio, F H Seguin
    Abstract:

    We report on the first accurate validation of low-$Z$ ion-stopping Formalisms in the regime ranging from low-velocity ion stopping---through the Bragg peak---to high-velocity ion stopping in well-characterized high-energy-density plasmas. These measurements were executed at electron temperatures and number densities in the range of 1.4--2.8 keV and $4\ifmmode\times\else\texttimes\fi{}{10}^{23}--8\ifmmode\times\else\texttimes\fi{}{10}^{23}\text{ }\text{ }{\mathrm{cm}}^{\ensuremath{-}3}$, respectively. For these conditions, it is experimentally demonstrated that the Brown-Preston-Singleton Formalism provides a better description of the ion stopping than other Formalisms around the Bragg peak, except for the ion stopping at ${v}_{i}\ensuremath{\sim}0.3{v}_{\mathrm{th}}$, where the Brown-Preston-Singleton Formalism significantly underpredicts the observation. It is postulated that the inclusion of nuclear-elastic scattering, and possibly coupled modes of the plasma ions, in the modeling of the ion-ion interaction may explain the discrepancy of $\ensuremath{\sim}20%$ at this velocity, which would have an impact on our understanding of the alpha energy deposition and heating of the fuel ions, and thus reduce the ignition threshold in an ignition experiment.

R C Mancini - One of the best experts on this subject based on the ideXlab platform.

  • experimental validation of low z ion stopping Formalisms around the bragg peak in high energy density plasmas
    Physical Review Letters, 2019
    Co-Authors: J A Frenje, Paul E Grabowski, C K Li, A B Zylstra, Gatu M Johnson, R Florido, R C Mancini, T Nagayama, H G Rinderknecht, F H Seguin
    Abstract:

    : We report on the first accurate validation of low-Z ion-stopping Formalisms in the regime ranging from low-velocity ion stopping-through the Bragg peak-to high-velocity ion stopping in well-characterized high-energy-density plasmas. These measurements were executed at electron temperatures and number densities in the range of 1.4-2.8 keV and 4×10^{23}-8×10^{23}  cm^{-3}, respectively. For these conditions, it is experimentally demonstrated that the Brown-Preston-Singleton Formalism provides a better description of the ion stopping than other Formalisms around the Bragg peak, except for the ion stopping at v_{i}∼0.3v_{th}, where the Brown-Preston-Singleton Formalism significantly underpredicts the observation. It is postulated that the inclusion of nuclear-elastic scattering, and possibly coupled modes of the plasma ions, in the modeling of the ion-ion interaction may explain the discrepancy of ∼20% at this velocity, which would have an impact on our understanding of the alpha energy deposition and heating of the fuel ions, and thus reduce the ignition threshold in an ignition experiment.

  • experimental validation of low z ion stopping Formalisms around the bragg peak in high energy density plasmas
    Physical Review Letters, 2019
    Co-Authors: J A Frenje, Paul E Grabowski, A B Zylstra, Gatu M Johnson, R Florido, R C Mancini, T Nagayama, H G Rinderknecht, H Sio, F H Seguin
    Abstract:

    We report on the first accurate validation of low-$Z$ ion-stopping Formalisms in the regime ranging from low-velocity ion stopping---through the Bragg peak---to high-velocity ion stopping in well-characterized high-energy-density plasmas. These measurements were executed at electron temperatures and number densities in the range of 1.4--2.8 keV and $4\ifmmode\times\else\texttimes\fi{}{10}^{23}--8\ifmmode\times\else\texttimes\fi{}{10}^{23}\text{ }\text{ }{\mathrm{cm}}^{\ensuremath{-}3}$, respectively. For these conditions, it is experimentally demonstrated that the Brown-Preston-Singleton Formalism provides a better description of the ion stopping than other Formalisms around the Bragg peak, except for the ion stopping at ${v}_{i}\ensuremath{\sim}0.3{v}_{\mathrm{th}}$, where the Brown-Preston-Singleton Formalism significantly underpredicts the observation. It is postulated that the inclusion of nuclear-elastic scattering, and possibly coupled modes of the plasma ions, in the modeling of the ion-ion interaction may explain the discrepancy of $\ensuremath{\sim}20%$ at this velocity, which would have an impact on our understanding of the alpha energy deposition and heating of the fuel ions, and thus reduce the ignition threshold in an ignition experiment.