Effect of superstrong magnetic fields on phase transition temperatures of neutron matter at supranuclear densities with unconventional Skyrme forces to superfluid states with anisotropic spin-triplet <i>p</i> -wave pairing
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Bibliographic record
Abstract
In the framework of generalized non-relativistic Fermi-liquid approach analytic expressions have been derived for functions Tc(+)(n, H; Ec) and Tc(–)(n, H; Ec), which are phase transition (PT) temperatures of superdense spatially uniform pure neutron matter from normal to superfluid states with anisotropic spin-triplet p-wave pairing (similar to anisotropic superfluid phases 3He–A1 and 3He–A2) in steady and homogeneous superstrong magnetic fields H ≡ Z⋅1017 G (here 1 ≤ Z ≤ 10; the magnitude of the Zeeman energy of a neutron is |μn|⋅H &lt; Ec ≪ ɛF(n), where μn &lt; 0 is the magnetic dipole moment of a neutron, Ec = 16 and 10 MeV have been selected as two alternative versions of the cutoff energy, ɛF(n) is the Fermi energy of neutron matter at supranuclear densities n &gt; n0, n0 = 0.17 fm−3). These functions Tc(±), which are valid for BSk parametrizations of the unconventional Skyrme forces from the so-called BSk family of the Brussels–Montreal group, depend nonlinearly on density n of neutron matter. The obtained formulas for Tc(±) contain not only terms with symmetrical and linearly field dependent splitting (as had been already derived for the “moderately strong” fields H ≡ Z⋅1017 G with 0 &lt; Z ≤ 1), but also additional terms quadratically dependent on superstrong magnetic field H (in the range with 1 &lt; Z ≤ 10), which lead to asymmetry and nonlinearity in splitting of phase transition temperatures Tc(±)(n, H; Ec) relative to the PT temperature Tc0(n; Ec) in zero field. Using the example of the unconventional BSk21 parameterization of Skyrme forces in superfluid neutron matter (SNM), it was found that the character of the behavior of the asymmetry in the splitting of the PT temperatures depending on the density of SNM also depends on the value of the cutoff energy Ec not only quantitatively, but also qualitatively. Phase transitions to superfluid states of such type might occur in liquid outer core of magnetars (strongly magnetized neutron stars) at n&gt;∼n0.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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