Near-BPS Skyrmions: Non-shell configurations and Coulomb effects

Near-BPS Skyrmions: Non-shell configurations and Coulomb effects
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DOI:
10.1103/physrevd.85.114045
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发表时间:
2012-05
期刊:
影响因子:
5
通讯作者:
Éric Bonenfant;L. Harbour;L. Marleau
Éric Bonenfant;L. Harbour;L. Marleau
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Éric Bonenfant;L. Harbour;L. Marleau

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The relatively small binding energy in nuclei suggests that they may be well represented by near-BPS Skyrmions since their mass is roughly proportional to the baryon number $A.$ For that purpose, we propose a generalization of the Skyrme model with terms up to order six in derivatives of the pion fields and treat the nonlinear $\sigma$ and Skyrme terms as small perturbations. For our special choice of mass term (or potential) $V$, we obtain well-behaved analytical BPS-type solutions with non-shell configurations for the baryon density, as opposed to the more complex shell-like configurations found in most extensions of the Skyrme model . Along with static and (iso)rotational energies, we add to the mass of the nuclei the often neglected Coulomb energy and isospin breaking term. Fitting the four model parameters, we find a remarkable agreement for the binding energy per nucleon $B/A$ with respect to experimental data. These results support the idea that nuclei could be near-BPS Skyrmions.