The Skyrme model with pion masses

Adkins, Gregory S.; Nappi, Chiara R.

doi:10.1016/0550-3213(84)90172-x

Cited by 456 publications

(440 citation statements)

References 3 publications

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“…For definiteness, we have set β = 0.263, following Adkins and Nappi [8], although eventually we would would hope to extend the calculation to treat β as a free parameter.…”

Section: Computation Of the Spectrummentioning

confidence: 99%

Normal mode spectrum of the deuteron in the Skyrme model

1997

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The normal mode spectrum of the deuteron in the Skyrme model is computed. We find a bound doublet mode below the pion mass, which can be related to the wellknown 90 • scattering of two skyrmions. We also find a singlet 'breather' mode and another doublet above the pion mass. The qualitative pattern of the spectrum is similar to that recently found for the B = 4 multiskyrmion. The symmetries of all the vibrational modes are presented.

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“…For definiteness, we have set β = 0.263, following Adkins and Nappi [8], although eventually we would would hope to extend the calculation to treat β as a free parameter.…”

Section: Computation Of the Spectrummentioning

confidence: 99%

Normal mode spectrum of the deuteron in the Skyrme model

1997

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“…Traditionally, the energy and length units of the Skyrme model have been calibrated using the proton and delta masses, and m has been given a value of approximately 0.5 [1], but recent calibrations using heavier nuclei and their rotational excitations suggest a larger length unit, and in compensation (to keep the physical pion mass fixed) a higher value of m, either m = 1 [15,14] or m = 1.125 [46].…”

Section: The Skyrme Model and Skyrmionsmentioning

confidence: 99%

“…Its quantised states of spin 1 2 and isospin 1 2 represent the nucleons [2,1]. Figure 2: B = 1 Skyrmion (two different views), illustrating the field colouring scheme.…”

Section: The Skyrme Model and Skyrmionsmentioning

confidence: 99%

“…5 illustrates this feature for the case B = 32, where a B = 4 subunit is visible near each corner of the chunk. 1 But note that other B = 4 subunits overlap these, and in different internal orientations. For example, there is a subunit centred at the origin for all n. By contrast, the first type of crystal chunk has recognisable B = 4 subunits, but cannot in any way be regarded as an aggregate of an integer number of these.…”

Section: Constructing Skyrmions From the Skyrme Crystalmentioning

confidence: 99%

“…And this is not restricted to spin up and spin down states. By taking linear combinations one can obtain a spin 1 2 state with spin up relative to any oriented axis in space. In each case, the white-black axis of the Skyrmion will be parallel to this spatial axis, and the neutron will spin anticlockwise.…”

Section: Spinning Skyrmionsmentioning

confidence: 99%

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Classical Skyrmions—static solutions and dynamics

Manton

2012

Math Methods in App Sciences

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Skyrmions with a realistic value of the pion mass parameter are expected to be quite compact structures, but beyond baryon number B = 8 only a few examples are known. The largest of these is the cubically symmetric B = 32 Skyrmion which is a truncated piece of the Skyrme crystal. Here it is proposed that many more such Skyrmions could be found, without any restriction on the baryon number, as pieces of the Skyrme crystal. Particular attention is given to the possibility of reducing B by 1 by chopping a corner off a cubic crystal chunk.Nuclei are modelled by Skyrmions with quantised spin and isospin. Here it is argued that these quantised states can be approximated by classically spinning Skyrmions. The orientations of the spinning Skyrmions corresponding to polarised protons, neutrons and deuterons are identified. Nuclear collisions and the nuclear spin-orbit force are discussed in terms of classically spinning Skyrmions. Going beyond the rigid collective motions of Skyrmions, there are spatially modulated collective motions, which are oscillatory in time. They are argued to describe not just vibrational excitations of nuclei, but also giant resonance states.

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References

1991

Gauge Field Theories

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The Skyrme model with pion masses

Cited by 456 publications

References 3 publications

Normal mode spectrum of the deuteron in the Skyrme model

Normal mode spectrum of the deuteron in the Skyrme model

Classical Skyrmions—static solutions and dynamics

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