BCS-BEC crossovers and unconventional phases in dilute nuclear matter

Stein, Martin; Sedrakian, Armen; Huang, Xu-Guang; Clark, John W.

doi:10.1103/physrevc.90.065804

Cited by 33 publications

(57 citation statements)

References 57 publications

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“…In the calculations being reported, we have not encountered such an instability, which could be taken as evidence that medium-driven formation of dineutrons in low-density neutron matter does not occur, or, in current terminology, that a BEC-BCS crossover 58,59,60,61 does not take place. This is remarkable in view of the fact that, at low densities (k F ≈ 0.2 fm −1 ), the gap reaches 0.45 times the Fermi energy e F which is comparable to what is found in the unitary Fermi gas at the BCS-BEC crossover 62 .…”

Section: Summary and Prospectsmentioning

confidence: 67%

$$^1S_0$$ 1 S 0 Pairing in Neutron Matter

Fan

Clark

2017

J Low Temp Phys

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We report calculations of the superfluid pairing gap in neutron matter for the 1 S 0 components of the Reid soft-core V 6 and the Argonne V ′ 4 two-nucleon interactions. Ground-state calculations have been carried out using the central part of the operator-basis representation of these interactions to determine optimal Jastrow-Feenberg correlations and corresponding effective pairing interactions within the correlated-basis formalism (CBF), the required matrix elements in the correlated basis being evaluated by Fermi hypernetted-chain techniques. Different implementations of the Fermi-Hypernetted Chain Euler-Lagrange method (FHNC-EL) agree at the percent level up to nuclear matter saturation density. For the assumed interactions, which are realistic within the low density range involved in 1 S 0 neutron pairing, we did not find a dimerization instability arising from divergence of the in-medium scattering length, as was reported recently for simple square-well and Lennard-Jones potential models (Phys. Rev. A 92, 023640 (2015)).

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Section: Summary and Prospectsmentioning

confidence: 67%

$$^1S_0$$ 1 S 0 Pairing in Neutron Matter

Fan

Clark

2017

J Low Temp Phys

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“…The competition, or crossover, between dimers and Cooper pairs has been discussed extensively in the cold atom community [17]. In neutron matter, a crossover of the same type is also expected to appear [18][19][20][21]. While a detailed discussion of the crossover goes beyond the scope of our preliminary analysis, we point out some similarities between the di-neutron bound states and Cooper pairs, which point at a subtle relation between the two [22][23][24].…”

Section: Introductionmentioning

confidence: 74%

Di-neutrons in neutron matter within a Brueckner-Hartree-Fock approach

2016

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We investigate the appearance of di-neutron bound states in pure neutron matter within the Brueckner-Hartree-Fock approach at zero temperature. We consider the Argonne v 18 and Paris bare interactions as well as chiral two-and three-nucleon forces. Self-consistent single-particle potentials are calculated by controlling explicitly singularities in the g matrix associated with bound states. Di-neutrons are loosely bound, with binding energies below 1 MeV, but are unambiguously present for Fermi momenta below 1 fm −1 for all interactions. Within the same framework we are able to calculate and characterize di-neutron bound states, obtaining mean radii as high as ∼ 110 fm. Implications of these findings are presented and discussed.

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“…Moreover, in order to obtain stationary data for ∆ψ ab , we require that Ψ is stationary. Rather than attempting to find an analytical solution, we use the numerical solution for Ψ computed using the methods in [32]. This solution is valid for any spin.…”

Section: Scalar Field Initial Datamentioning

confidence: 99%

Numerical black hole initial data and shadows in dynamical Chern–Simons gravity

Okounkova

Scheel²,

Teukolsky³

2019

Class. Quantum Grav.

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We present a scheme for generating first-order metric perturbation initial data for an arbitrary background and source. We then apply this scheme to derive metric perturbations in order-reduced dynamical Chern-Simons gravity (dCS). In particular, we solve for metric perturbations on a black hole background that are sourced by a first-order dCS scalar field. This gives us the leading-order metric perturbation to the spacetime in dCS gravity. We then use these solutions to compute black hole shadows in the linearly perturbed spacetime by evolving null geodesics. We present a novel scheme to decompose the shape of the shadow into multipoles parametrized by the spin of the background black hole and the perturbation parameter ε 2 . We find that we can differentiate the presence of a pure Kerr spacetime from a spacetime with a dCS perturbation using the shadow, allowing in part for a null-hypothesis test of general relativity. We then consider these results in the context of the Event Horizon Telescope.Response to Referee 1 arXiv:1810.05306v2 [gr-qc]

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BCS-BEC crossovers and unconventional phases in dilute nuclear matter

Cited by 33 publications

References 57 publications

$$^1S_0$$ 1 S 0 Pairing in Neutron Matter

$$^1S_0$$ 1 S 0 Pairing in Neutron Matter

Di-neutrons in neutron matter within a Brueckner-Hartree-Fock approach

Numerical black hole initial data and shadows in dynamical Chern–Simons gravity

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