Quantisation of Global Isospin in the Skyrme Crystal

Abstract

A quantisation of chiral symmetry within the Skyrme crystal is carried out. The definition of global isospin in the crystal is explored, and found to be ambiguous. However, the state corresponding to a neutron crystal is identified, and the leading quantum correction to the classical mass is computed. The results are compared to those of Klebanov for a crystal of whole skyrmions.

uuencoded Latex source plus 3 included .eps files. The latex (or postscript) original can be obtained directly by emailing [email protected]

Cited by in corpus (10)

• Ordered arrays of Baryonic tubes in the Skyrme model in (3+1) dimensions at finite density
• Analytic crystals of solitons in the four dimensional gauged non-linear sigma model
• Skyrme crystals, nuclear matter and compact stars
• Quantum Skyrmion crystals and the symmetry energy of dense matter
• Dense matter equation of state and phase transitions from a Generalized Skyrme model
• Generalized skyrmion crystals with applications to neutron stars
• Skyrme crystals with massive pions
• On the robustness of solitons crystals in the Skyrme model
• Compressibility of dense nuclear matter in the $\rho$-meson variant of the Skyrme model
• Quantization of the chiral soliton in medium