Electromagnetic neutron-proton mass difference in the Skyrme model

Ebrahim, A.; Savcı, Mustafa

doi:10.1016/0370-2693(87)91445-6

Cited by 21 publications

(10 citation statements)

References 10 publications

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“…lim r→0,∞ V = 8 9 , 0 respectively. It is interesting to note that according to (16), the square root of the potential…”

Section: The Near-bps Skyrme Modelmentioning

confidence: 99%

“…Such an effect is of course also present in the Skyrmions description of nuclei since the static configuration has non-vanishing charge density. The electromagnetic and isospin breaking contributions to the mass have been thoroughly studied for A = 1, mostly in the context of the computation of the proton-neutron mass difference [14][15][16][17][18][19][20], but are usually neglected, to a first approximation, for higher A since they are not expected to overcome the large binding energies predicted by the model. There are also practical reasons why they are seldom taken into account.…”

Section: Coulomb Energy and Isospin Breakingmentioning

confidence: 99%

“…The second issue concerns the inclusion of the Coulomb energy and the isospin symmetry breaking term in the calculation of nuclear masses. In the context of the Skyrme model, these contributions have been thoroughly studied for A = 1 [14][15][16][17][18][19][20] but are usually neglected, to a first approximation, for higher A since they are not expected to overcome the binding energies which are usually large and also because finding the configurations is already numerically challenging so that only small A solutions are known (e.g. approximate toroidal, tetrahedral, cubic configurations for A = 1, 2, 3 standard Skyrmions, respectively).…”

Section: Introductionmentioning

confidence: 99%

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Near-BPS Skyrmions: Nonshell configurations and Coulomb effects

2012

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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 σ 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 nonshell 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.

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“…lim r→0,∞ V = 8 9 , 0 respectively. It is interesting to note that according to (16), the square root of the potential…”

Section: The Near-bps Skyrme Modelmentioning

confidence: 99%

Section: Coulomb Energy and Isospin Breakingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Near-BPS Skyrmions: Nonshell configurations and Coulomb effects

2012

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“…for small _r (12) Consequently 5~,. properly describes the isospin splitting of the pion masses in any Skyrme-type model built from SU(2) matrices U as given by (3b) on the basis of 5r in (2 a).…”

Section: Explicit Isospin Symmetry Breaking In the Mesonic Sectormentioning

confidence: 96%

Explicit isospin symmetry breaking inSU(2) Skyrme-type models

Rathskc

1988

Z. Physik A - Atomic Nuclei

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We propose a new mass term which, when added to the standard SU(2) Skyrme model Lagrangian, leads to explicit isospin symmetry breaking in the mesonic sector and also allows -at least when the stabilizing Skyrme term is neglected -for classical (time dependent) "hedgehog" soliton solutions which constitute a basis for the description of physical baryon states with the standard collective coordinate method. At the same time the formalism provides the possibility to correctly reproduce the isospin splitting of the nucleon masses.

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“…Devising such a term, while maintaining Lorentz and parity invariance, does not seem to be possible in any version of the model containing only pion fields. It should be noted that adding electromagnetic effects to the usual Skyrme model has precisely the opposite effect to the one desired: unsurprisingly, Coulomb repulsion renders the proton heavier than the neutron [3].…”

Section: Introductionmentioning

confidence: 99%