---
title: "On the SU(2) Shyrme Model with the Pion Mass Term • CBPF Index"
description: "CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community."
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**Physics Note****Published**

# **On the SU(2) Shyrme Model with the Pion Mass Term**

**Juan Alberto Mignaco; Stenio Wulck**

1993

[**Download PDF **1.2 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb5fa/pdf) [**Contact owner**](<mailto:apub@cbpf.br?subject=On%20the%20SU(2)%20Shyrme%20Model%20with%20the%20Pion%20Mass%20Term>)

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>Juan Alberto Mignaco; Stenio Wulck</dd>

<dt>Type</dt>
<dd>Physics Note</dd>

<dt>Status</dt>
<dd>Published</dd>

<dt>Publication date</dt>
<dd>1993</dd>

<dt>Description</dt>
<dd>We study the SU(2) Skyrme model with the pion mass term, and discuss its physics content. We show that the addition of the pion mass term, through it means a repulsive contribution, makes the baryonic solutions to shrink in space, in a way proportional to the value of the pion mass. Similarly to the simpler case (SU(2) Skyrme model without the pion mass term), the baryonic solutions have a minimum, as a function of the Skyrme parameter, e for the quantum energy. The energies, for all values of e, are consistently larger than those of the simpler model. We show also, at the minimum, the results for the physical properties of the B = 1 states. Interestingly, they seem to indicate, for the magnetic moments, a behaviour like the one for charged and neutral point particles, though the eletromagnetic radii are</dd>

<dt>Year</dt>
<dd>1993</dd>

<dt>Number</dt>
<dd>CBPF-NF-002/93</dd>

<dt>Linked to a thesis</dt>
<dd>No</dd>

<dt>Linked to a grant</dt>
<dd>No</dd>

</dl>

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