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title: "Sum Rules, Asymptotic Behaviour and (multi) Baryon States in the Skyrme Model • CBPF Index"
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**Physics Note****Published**

# **Sum Rules, Asymptotic Behaviour and (multi) Baryon States in the Skyrme Model**

**Juan Alberto Mignaco; Stenio Wulck**

1990

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## **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>1990</dd>

<dt>Description</dt>
<dd>We obtain sum rules that should be satisfied by the solutions of the Euler-Lagrange equation for the chiral angle in the Skyrme model in the hedgehog representation. The sum rules allow to determine the existence of solutions with integer baryon number for well determined values of a relevant dimensionless parameter F only. For all other values, there are no solutions with integer baryon number, in particular for the pure nonlinear sigma model.</dd>

<dt>Year</dt>
<dd>1990</dd>

<dt>Number</dt>
<dd>CBPF-NF-028/90</dd>

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

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

</dl>

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