Microscopic calculation of the pinning energy of a vortex in the inner crust of a neutron star
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866909363251183616 |
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| author | Klausner, P. Barranco, F. Pizzochero, P. M. Roca-Maza, X. Vigezzi, E. |
| author_facet | Klausner, P. Barranco, F. Pizzochero, P. M. Roca-Maza, X. Vigezzi, E. |
| contents | The structure of a vortex in the inner crust of a pulsar is calculated microscopically in the Wigner-Seitz cell approximation, simulating the conditions of the inner crust of a cold, non-accreting neutron star, in which a lattice of nuclei coexists with a sea of superfluid neutrons. The calculation is based on the axially deformed Hartree-Fock-Bogolyubov framework, using effective interactions. The present work extends and improves previous studies in four ways: i) it allows for the axial deformation of protons induced by the large deformation of neutrons due to the appearance of vortices; ii) it includes the effect of Coulomb exchange; iii) considers the possible effects of the screening of the pairing interaction; and iv) it improves the numerical treatment. We also demonstrate that the binding energy of the nucleus-vortex system can be used as a proxy to the pinning energy of a vortex and discuss in which conditions this applies. From our results, we can estimate the mesoscopic pinning forces per unit length acting on vortices. We obtain values ranging between $10^{14}$ to $10^{16}$ dyn/cm, consistent with previous findings. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2303_18151 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Microscopic calculation of the pinning energy of a vortex in the inner crust of a neutron star Klausner, P. Barranco, F. Pizzochero, P. M. Roca-Maza, X. Vigezzi, E. Nuclear Theory High Energy Astrophysical Phenomena The structure of a vortex in the inner crust of a pulsar is calculated microscopically in the Wigner-Seitz cell approximation, simulating the conditions of the inner crust of a cold, non-accreting neutron star, in which a lattice of nuclei coexists with a sea of superfluid neutrons. The calculation is based on the axially deformed Hartree-Fock-Bogolyubov framework, using effective interactions. The present work extends and improves previous studies in four ways: i) it allows for the axial deformation of protons induced by the large deformation of neutrons due to the appearance of vortices; ii) it includes the effect of Coulomb exchange; iii) considers the possible effects of the screening of the pairing interaction; and iv) it improves the numerical treatment. We also demonstrate that the binding energy of the nucleus-vortex system can be used as a proxy to the pinning energy of a vortex and discuss in which conditions this applies. From our results, we can estimate the mesoscopic pinning forces per unit length acting on vortices. We obtain values ranging between $10^{14}$ to $10^{16}$ dyn/cm, consistent with previous findings. |
| title | Microscopic calculation of the pinning energy of a vortex in the inner crust of a neutron star |
| topic | Nuclear Theory High Energy Astrophysical Phenomena |
| url | https://arxiv.org/abs/2303.18151 |