Superfluid Gap in Neutron Matter from a Microscopic Effective Interaction

Benhar, Omar; Rosi, Giulia De

doi:10.1007/s10909-017-1823-x

Cited by 11 publications

(7 citation statements)

References 46 publications

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“…Note that one can of course identify 1 + Γ dd (r) with f 2 (r) in Eq. (42). These findings are consistent with the fact that the optimal results for 1+Γ dd (r) and f 2 (r) are not very different.…”

Section: Consequences For Many-body Theorysupporting

confidence: 86%

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$$^1S_0$$ 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: Consequences For Many-body Theorysupporting

confidence: 86%

“…"uncorrelated" or "mean-field") BCS gap equation 41 is retrieved by replacing the effective interaction P kk ′ by the pairing matrix of the bare interaction. The low-cluster-order approximations to the pairing interaction used by Benhar 42 and Pavlou et. al.…”

Section: Bcs Theory With Correlated Wave Functionsmentioning

confidence: 99%

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

Fan

Clark

2017

J Low Temp Phys

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“…It was applied to nucleonic pairing at the early stages of theoretical development of this generic quantum many-body theory [17][18][19]23]. Since that time, the CBF method has undergone extensive further developments, with applications in diverse physical contexts, in particular to nuclear systems [60,[216][217][218][219][220][221] and the low-density fermionic gas [222].…”

Section: Correlated Basis Functions Theorymentioning

confidence: 99%

Superfluidity in nuclear systems and neutron stars

2019

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Nuclear matter and finite nuclei exhibit the property of superfluidity by forming Cooper pairs. We review the microscopic theories and methods that are being employed to understand the basic properties of superfluid nuclear systems, with emphasis on the spatially extended matter encountered in neutron stars, supernova envelopes, and nuclear collisions. Our survey of quantum many-body methods includes techniques that employ Green functions, correlated basis functions, and Monte Carlo sampling of quantum states. With respect to empirical realizations of nucleonic and hadronic superfluids, this review is focused on progress that has been made toward quantitative understanding of their properties at the level of microscopic theories of pairing, with emphasis on the condensates that exist under conditions prevailing in neutron-star interiors. These include singlet S-wave pairing of neutrons in the inner crust, and, in the quantum fluid interior, singlet-S proton pairing and triplet coupled P -F -wave neutron pairing. Additionally, calculations of weak-interaction rates in neutron-star superfluids within the Green function formalism are examined in detail. We close with a discussion of quantum vortex states in nuclear systems and their dynamics in neutron-star superfluid interiors. PACS. 97.60.Jd Neutron stars -21.65.+f Nuclear matter -47.37.+q Hydrodynamic aspects of superfluidity; quantum fluids -67.85.+d Ultracold gases, trapped gases -74.25.Dw Superconductivity phase diagrams Contents arXiv:1802.00017v4 [nucl-th] 26 Sep 2019 emerge in the interaction part of the Hamiltonian when evaluating Eq. (5) in terms of Bogolyubov operators vanish. Such terms would account for fluctuations in the system, but are beyond the scope of the present mean-field treatment. 4 Note that the variation δ(E − µN )/δn p,↑ , with up and vp held constant, yields the quantity Ep, confirming its interpretation. Armen Sedrakian, John W. Clark: Superfluidity in nuclear systems and neutron stars 5

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“…As long as the theory is based on a clean expansion in the number of Cooper pairs, there is by construction no overcounting problem, but it is instructional to see the interplay between Jastrow-correlations and BCS correlations. To see that, it is sufficient to examine the twobody approximation which is still occasionally being used [35][36][37]54]. We also restrict ourselves, for simplicity, to state-independent correlations.…”

Section: Analysis Of the Gap Equationmentioning

confidence: 99%

Variational and parquet-diagram calculations for neutron matter. III. S -wave pairing

Krotscheck

Wang

2021

Phys. Rev. C

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We apply parquet-diagram summation methods for the calculation of the superfluid gap in S-wave pairing in neutron matter for realistic nucleon-nucleon interactions such as the Argonne v6 and the Reid v6 potentials. It is shown that diagrammatic contributions that are outside the parquet class play an important role. These are, in variational theories, identified as so-called "commutator contributions". Moreover, using a particle-hole propagator appropriate for a superfluid system results in the suppression of the spin-channel contribution to the induced interaction. Applying these corrections to the pairing interaction, our results agree quite well with Quantum Monte Carlo data.

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Superfluid Gap in Neutron Matter from a Microscopic Effective Interaction

Cited by 11 publications

References 46 publications

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

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

Superfluidity in nuclear systems and neutron stars

Variational and parquet-diagram calculations for neutron matter. III. S -wave pairing

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