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Exact analytical solution of the lateral spread of a particle beam in matter within a nonsmall angle limit

##article.authors##

  • IKEGAMI, Seiji Department of Theoretical Physics, Seiji IKEGAMI Resarch Laboratory

DOI:

https://doi.org/10.51094/jxiv.269

キーワード:

Lateral spread、 nonsmall angle limit、 Thomas-Fermi-Moliere Potential

抄録

This work is the construction of an analytical theory of lateral spread within a nonsmall angle limit of an ionic or atomic beam in a target medium. The exact angular distribution theory was developed by Goudsmit and Saunderson; however, exact lateral spread model has not been constructed. Recently, ion beam cancer therapy is widely studied. Thus, the author is motivated to make a lateral spread theory involving small to large scattering angles and including the energy loss effect. The present study is successfully performed using the Bessel function, and exact analytical and numerical results are given in this text. The present research is expected to be useful for particle beam cancer treatment.

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引用文献

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投稿日時: 2023-02-01 09:10:33 UTC

公開日時: 2023-02-08 02:04:35 UTC — 2026-06-24 00:10:04 UTCに更新

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改版理由

メインの数式の導出過程を詳しく書きました。 また、数学的証明のappendixを付与致しました。 これらの改訂内容を反映させたく、改版をいたしたいです。
研究分野
物理学

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Copyright（c）2023 IKEGAMI, Seiji

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