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25 April 2024
 
  » arxiv » 1907.9071

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The n-th order Moment of the Nuclear Charge Density and Contribution from the Neutrons
Haruki Kurasawa ; Toshio Suzuki ;
Date 22 Jul 2019
AbstractThe relativistic expression for the $n$-th order moment of the nuclear charge density is presented. For the mean square radius(msr) of the nuclear charge density, the non-relativistic expression, which is equivalent to the relativistic one, is also derived consistently up to $1/M^2$ with use of the Foldy-Wouthuysen transformation. The difference between the relativistic and non-relativistic expressions for the msr of the point proton density is also discussed. The $n(ge 4)$-th order moment of the nuclear charge density depends on the point neutron density. The 4-th order moment yields a useful information on the msr of the point neutron density, and is expected to play an important role in electron scattering off neutron-rich nuclei.
Source arXiv, 1907.9071
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