Skyrmions and the pion mass

Richard A. Battye; Paul M. Sutcliffe

doi:10.1016/j.nuclphysb.2004.11.018

Skyrmions and the pion mass

Richard A. Battye, Paul M. Sutcliffe

Research output: Contribution to journal › Article › peer-review

Abstract

We present numerical evidence that suggests the introduction of a nonzero pion mass might dramatically affect the structure of minimal energy skyrmions. It appears that the shell-like skyrmions which are the minima when the pions are massless can fail to be minimal energy bound states for particular baryon numbers, with a strong dependence upon the value of the pion mass. The effects of a pion mass may include the replacement of shell-like configurations with crystal chunks and the loss of shell-like bound states with baryon numbers five and eight; which is in agreement with expectations based on real nuclei. © 2004 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	384-400
Number of pages	16
Journal	NUCLEAR PHYSICS B
Volume	705
Issue number	1-2
DOIs	https://doi.org/10.1016/j.nuclphysb.2004.11.018
Publication status	Published - 17 Jan 2005

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10.1016/j.nuclphysb.2004.11.018

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title = "Skyrmions and the pion mass",

abstract = "We present numerical evidence that suggests the introduction of a nonzero pion mass might dramatically affect the structure of minimal energy skyrmions. It appears that the shell-like skyrmions which are the minima when the pions are massless can fail to be minimal energy bound states for particular baryon numbers, with a strong dependence upon the value of the pion mass. The effects of a pion mass may include the replacement of shell-like configurations with crystal chunks and the loss of shell-like bound states with baryon numbers five and eight; which is in agreement with expectations based on real nuclei. {\textcopyright} 2004 Elsevier B.V. All rights reserved.",

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AU - Battye, Richard A.

AU - Sutcliffe, Paul M.

PY - 2005/1/17

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N2 - We present numerical evidence that suggests the introduction of a nonzero pion mass might dramatically affect the structure of minimal energy skyrmions. It appears that the shell-like skyrmions which are the minima when the pions are massless can fail to be minimal energy bound states for particular baryon numbers, with a strong dependence upon the value of the pion mass. The effects of a pion mass may include the replacement of shell-like configurations with crystal chunks and the loss of shell-like bound states with baryon numbers five and eight; which is in agreement with expectations based on real nuclei. © 2004 Elsevier B.V. All rights reserved.

AB - We present numerical evidence that suggests the introduction of a nonzero pion mass might dramatically affect the structure of minimal energy skyrmions. It appears that the shell-like skyrmions which are the minima when the pions are massless can fail to be minimal energy bound states for particular baryon numbers, with a strong dependence upon the value of the pion mass. The effects of a pion mass may include the replacement of shell-like configurations with crystal chunks and the loss of shell-like bound states with baryon numbers five and eight; which is in agreement with expectations based on real nuclei. © 2004 Elsevier B.V. All rights reserved.

U2 - 10.1016/j.nuclphysb.2004.11.018

DO - 10.1016/j.nuclphysb.2004.11.018

M3 - Article

SN - 0550-3213

VL - 705

SP - 384

EP - 400

JO - NUCLEAR PHYSICS B

JF - NUCLEAR PHYSICS B

IS - 1-2

ER -

Skyrmions and the pion mass

Abstract

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