Phase diagram of dilute nuclear matter: Unconventional pairing and the BCS-BEC crossover

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

doi:10.1103/physrevc.86.062801

Cited by 24 publications

(45 citation statements)

References 39 publications

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“…This is of course unphysical and shows the limits of the perturbative treatment of the correlations, i.e., of the truncation of the Dyson series at first order in the self-energy in Eq. (8). The same problem was found in Ref.…”

Section: Correlated Densities and Occupation Numberssupporting

confidence: 67%

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Polarized Fermi gases at finite temperature in the BCS-BEC crossover

2014

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We consider a polarized Fermi gas in the BCS-BEC crossover region above the critical temperature within a T matrix formalism. By treating the mean-field like shift of the quasiparticle energies in a self-consistent manner, we avoid the known pathological behavior of the standard Nozières-Schmitt-Rink approach in the polarized case, i.e., the polarization has the right sign and the spin polarizability is positive. The momentum distributions of the correlated system are computed and it is shown that, in the zero-temperature limit, they satisfy the Luttinger theorem. Results for the phase diagram, the spin susceptibility, and the compressibility are discussed.

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Section: Correlated Densities and Occupation Numberssupporting

confidence: 67%

“…Apart from atomic gases and superconductors in magnetic fields, such situations may be realized in nuclear matter with different densities of neutrons and protons [7,8] or in compact stars containing light and strange quarks [9]. Such systems have been extensively studied in the recent years.…”

Section: Introductionmentioning

confidence: 99%

Polarized Fermi gases at finite temperature in the BCS-BEC crossover

2014

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“…Another aspect of the problem is the effects of light clusters in intermediate energy heavy ion collisions [22,23,24,25,26,27] which were extensively studied using various methods, see for example [28,29,30]. Furthermore, the general many-body problem of bound state formation in nuclear medium is an outstanding problem on its own right [31,32,33,34,35,36,37,38,39,40,41,42].…”

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confidence: 99%

Composition of Nuclear Matter with Light Clusters and Bose–Einstein Condensation of $$\alpha $$ α Particles

et al. 2017

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The Bose-Einstein condensation of α partciles in the multicomponent environment of dilute, warm nuclear matter is studied. We consider the cases of matter composed of light clusters with mass numbers A ≤ 4 and matter that in addition these clusters contains 56 Fe nuclei. We apply the quasiparticle gas model which treats clusters as bound states with infinite life-time and binding energies independent of temperature and density. We show that the α particles can form a condensate at low temperature T ≤ 2 MeV in such matter in the first case. When the 56 Fe nucleus is added to the composition the cluster abundances are strongly modified at low temperatures, with an important implication that the α condensation at these temperatures is suppressed.

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“…The singularity at r = 0 in Eq. (12) means that boundary conditions must be carefully selected. In the asymptotic region, when the radial separation is larger than the range of the potential, Eq.…”

Section: Partial Wave Expansionmentioning

confidence: 99%

“…Intriguingly, BEC-BCS crossover of cold atomic gases is closely related to the physics of neutron matter in compact stars, which is found on the BCS side of the crossover. [10,11,12,13,14,15].…”

Section: Introductionmentioning

confidence: 99%

Fermions in Two Dimensions: Scattering and Many-Body Properties

et al. 2017

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Ultracold atomic Fermi gases in two-dimensions (2D) are an increasingly popular topic of research. The interaction strength between spin-up and spindown particles in two-component Fermi gases can be tuned in experiments, allowing for a strongly interacting regime where the gas properties are yet to be fully understood. We have probed this regime for 2D Fermi gases by performing T = 0 ab initio diffusion Monte Carlo (DMC) calculations. The many-body dynamics are largely dependent on the two-body interactions, therefore we start with an in-depth look at scattering theory in 2D. We show the partial-wave expansion and its relation to the scattering length and effective range. Then we discuss our numerical methods for determining these scattering parameters. We close out this discussion by illustrating the details of bound states in 2D. Transitioning to the many-body system, we use variationally optimized wave functions to calculate ground-state properties of the gas over a range of interaction strengths. We show results for the energy per particle and parametrize an equation of state. We then proceed to determine the chemical potential for the strongly interacting gas.

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Phase diagram of dilute nuclear matter: Unconventional pairing and the BCS-BEC crossover

Cited by 24 publications

References 39 publications

Polarized Fermi gases at finite temperature in the BCS-BEC crossover

Polarized Fermi gases at finite temperature in the BCS-BEC crossover

Composition of Nuclear Matter with Light Clusters and Bose–Einstein Condensation of $$\alpha $$ α Particles

Fermions in Two Dimensions: Scattering and Many-Body Properties

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