Restricting profile function of hedgehog Skyrmion
Jun Yamashita, Minoru Hirayama

TL;DR
This paper investigates the profile function of hedgehog Skyrmions, analyzing how the field equation constrains it and numerically calculating the static energy, revealing potential improvements over previous models.
Contribution
It introduces new restrictions on the profile function of hedgehog Skyrmions and demonstrates that certain forms can yield lower static energy than earlier models.
Findings
Some considered profile functions produce lower static energy.
Field equation restrictions influence the profile function form.
Numerical calculations validate the potential for improved models.
Abstract
The profile function for the hedgehog Skyrmion is investigated. After discussing how the form of the profile function is restricted by the field equation, the s tatic energy is numerically calculated. It is found that the profile functions c onsidered here sometimes give the static energy smaller than previous ones.
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