Casimir corrections in the bound state soliton model

Scoccola, N. N.; Walliser, Hans

doi:10.1103/physrevd.58.094037

Cited by 10 publications

(9 citation statements)

References 15 publications

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“…This procedure, however, suffers from different systematic uncertainties. For example, there exist corrections to M sol ∼ N c , that are of the order O(N 0 c ) related to the Casimir energy [20,21] and meson loops [22][23][24][25], which are beyond control in the present approach. Obviously, in a modelindependent approach these corrections are accommodated in M sol and also in 1/I 1,2 .…”

Section: A Light Sector Phenomenologymentioning

confidence: 99%

Possibility of the existence of charmed exotica

2017

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We employ the chiral quark-soliton model to describe excited baryons with one heavy quark. Identifying known charmed baryons with multiplets allowed by the model, we argue that apart from regular excitations of the ground state multiplets, some of recently reported by the LHCb collaboration narrow $\Omega^{0}_{c}$ states, may correspond to the exotic pentaquarks. This interpretation can be easily verified experimentally, since exotic $\Omega^{0}_{c}$ states -- contrary to the regular excitations -- form isospin triplets, rather than singlets.Comment: 9 pages, 3 figures. Published version. The title has been changed as appeared in the journa

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Section: A Light Sector Phenomenologymentioning

confidence: 99%

Possibility of the existence of charmed exotica

2017

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“…For even B T r = 0, for odd B we should take T r = 1/2 for the lowest SU (3) irreps. It follows from (30) and (31) that when some nucleons are replaced by flavoured hyperons in BS the binding energy of the system changes by…”

Section: Estimates Of the Spectra Of Multibaryons With Strangeness Cmentioning

confidence: 99%

Multibaryons with strangeness, charm and bottom

Kopeliovich

Zakrzewski

2000

Eur. Phys. J. C

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Static properties of multiskyrmions with baryon numbers up to 8 are calculated, including momenta of inertia and sigma-term. The calculations are based on the recently suggested SU(2) rational map ansaetze. Minimization with the help of SU(3) variational minimization program shows that these configurations become local minima in SU(3) configuration space. The B-number dependence of the so called flavour moment of inertia of multiskyrmions playing an important role in the quantization procedure is close to the linear one. The spectra of baryonic systems with strangeness, charm and bottom are considered within a "rigid oscillator" version of the bound state soliton model. The binding energies estimates are made for the states with largest isospin which can appear as negatively charged nuclear fragments, as well as for states with zero isospin - light fragments of "flavoured" nuclear matter. Our results confirm the previously made observation that baryonic systems with charm or bottom quantum numbers have more chance to be stable with respect to strong interactions than strange baryonic systems.Comment: 13 pages, no figures. Submitted to Eur. Phys.

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“…Thus, the standard spectral approach is versatile enough to handle frequency dependent interactions without extra terms, at least in the case of scalar electrodynamics. A similar structure can also be found in the bound state approach to the three flavor Skyrme model [30][31][32][33] wherein a linear frequency dependence arises from the Wess-Zumino term. It is therefore expected that the spectral method in this case also receives no extra terms (though renormalizability is an issue in the model).…”

Section: Scalar Electrodynamicsmentioning

confidence: 63%

Casimir energy of frequency dependent interactions

2014

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Vacuum polarization (or Casimir) energies can be straightforwardly computed from scattering data for static field configurations whose interactions with the fluctuating field are frequency independent. In effective theories, however, such interactions are typically frequency dependent. As a consequence, the relationship between scattering data and the Green's function is modified, which may or may not induce additional contributions to the vacuum polarization energy. We discuss several examples that naturally include frequency dependent interactions: (i) scalar electrodynamics with a static background potential, (ii) an effective theory that emerges from integrating out a heavy degree of freedom, and (iii) quantum electrodynamics coupled to a frequency dependent dielectric material. In the latter case, we argue that introducing dissipation as required by the Kramers-Kronig relations requires the consideration of the Casimir energy within a statistical mechanics formalism, while in the absence of dissipation we can work entirely within field theory, using an alternative formulation of the energy density.

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Casimir corrections in the bound state soliton model

Cited by 10 publications

References 15 publications

Possibility of the existence of charmed exotica

Possibility of the existence of charmed exotica

Multibaryons with strangeness, charm and bottom

Casimir energy of frequency dependent interactions

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