dorsal/arxiv
View SchemaNuclear radius deduced from proton diffraction by a black nucleus
| Authors | Akihisa Kohama, Kei Iida, Kazuhiro Oyamatsu |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0405033 |
| URL | https://arxiv.org/abs/nucl-th/0405033 |
| DOI | 10.1103/PhysRevC.69.064316 |
| Journal | Phys.Rev. C69 (2004) 064316 |
Abstract
We find a new method to deduce nuclear radii from proton-nucleus elastic scattering data. In this method a nucleus is viewed as a ``black'' sphere. A diffraction pattern of protons by this sphere is equivalent to that of the Fraunhofer diffraction by a circular hole of the same radius embedded in a screen. We determine the black sphere radius in such a way as to reproduce the empirical value of the angle of the observed first diffraction peak. It is useful to identify this radius multiplied by $\sqrt{3/5}$ with the root-mean-square matter radius of the target nucleus. For most of stable isotopes of masses heavier than 50, it agrees, within the error bars, with the values that were deduced in previous elaborate analyses from the data obtained at proton incident energies higher than $\sim 800$ MeV.
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"abstract": "We find a new method to deduce nuclear radii from proton-nucleus elastic\nscattering data. In this method a nucleus is viewed as a ``black\u0027\u0027 sphere. A\ndiffraction pattern of protons by this sphere is equivalent to that of the\nFraunhofer diffraction by a circular hole of the same radius embedded in a\nscreen. We determine the black sphere radius in such a way as to reproduce the\nempirical value of the angle of the observed first diffraction peak. It is\nuseful to identify this radius multiplied by $\\sqrt{3/5}$ with the\nroot-mean-square matter radius of the target nucleus. For most of stable\nisotopes of masses heavier than 50, it agrees, within the error bars, with the\nvalues that were deduced in previous elaborate analyses from the data obtained\nat proton incident energies higher than $\\sim 800$ MeV.",
"arxiv_id": "nucl-th/0405033",
"authors": [
"Akihisa Kohama",
"Kei Iida",
"Kazuhiro Oyamatsu"
],
"categories": [
"nucl-th",
"nucl-ex"
],
"doi": "10.1103/PhysRevC.69.064316",
"journal_ref": "Phys.Rev. C69 (2004) 064316",
"title": "Nuclear radius deduced from proton diffraction by a black nucleus",
"url": "https://arxiv.org/abs/nucl-th/0405033"
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