Monopole strength function of deformed superfluid nuclei

Stoitsov, M. V.; Kortelainen, M. J.; Nakatsukasa, Takashi; Losa, Cristina; Nazarewicz, W.

doi:10.1103/physrevc.84.041305

Cited by 70 publications

(107 citation statements)

References 51 publications

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“…ReplacingQ(q) byQ(q + δq) in Eq. (36) and changing the constraint condition Eq. (34) to ψ(q + δq)|Q(q + δq)|ψ(q + δq) = 0, the self-consistency between |ψ(q + δq) andQ(q+δq) is guaranteed if the further imaginary-time evolution of Eq.…”

Section: Imaginary-time Methods For the Moving Hf Solutionmentioning

confidence: 99%

“…To evaluate the matrix elements of A ± B in Eq. (13), we adopt the finite amplitude method (FAM) [30][31][32][36][37][38][39][40][41], especially the matrix FAM (m-FAM) prescription [32]. The FAM requires only the calculations of the single-particle Hamiltonian constructed with independent bra and ket states [30], providing us an efficient tool to solve the RPA problem.…”

Section: Finite Amplitude Methods For the Moving Rpa Solutionmentioning

confidence: 99%

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Self-consistent collective coordinate for reaction path and inertial mass

Wen¹,

Nakatsukasa²

2016

Phys. Rev. C

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We propose a numerical method to determine the optimal collective reaction path for the nucleusnucleus collision, based on the adiabatic self-consistent collective coordinate (ASCC) method. We use an iterative method combining the imaginary-time evolution and the finite amplitude method, for the solution of the ASCC coupled equations. It is applied to the simplest case, the α − α scattering. We determine the collective path, the potential, and the inertial mass. The results are compared with other methods, such as the constrained Hartree-Fock method, the Inglis's cranking formula, and the adiabatic time-dependent Hartree-Fock (ATDHF) method.

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Section: Imaginary-time Methods For the Moving Hf Solutionmentioning

confidence: 99%

Section: Finite Amplitude Methods For the Moving Rpa Solutionmentioning

confidence: 99%

Self-consistent collective coordinate for reaction path and inertial mass

Wen¹,

Nakatsukasa²

2016

Phys. Rev. C

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“…In particular the results obtained with the present RPA code has been checked [42] using another RPA code [43] based on Finite Amplitude Method [41].…”

Section: Skyrme Functionalsmentioning

confidence: 99%

Spurious finite-size instabilities in nuclear energy density functionals: Spin channel

et al. 2015

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Background It has been recently shown, that some Skyrme functionals can lead to non-converging results in the calculation of some properties of atomic nuclei. A previous study has pointed out a possible link between these convergence problems and the appearance of finite-size instabilities in symmetric nuclear matter (SNM) around saturation density.Purpose We show that the finite-size instabilities not only affect the ground state properties of atomic nuclei, but they can also influence the calculations of vibrational excited states in finite nuclei.Method We perform systematic fully-self consistent Random Phase Approximation (RPA) calculations in spherical doublymagic nuclei. We employ several Skyrme functionals and vary the isoscalar and isovector coupling constants of the time-odd term s · ∆s . We determine critical values of these coupling constants beyond which the RPA calculations do not converge because RPA the stability matrix becomes non-positive.Results By comparing the RPA calculations of atomic nuclei with those performed for SNM we establish a correspondence between the critical densities in the infinite system and the critical coupling constants for which the RPA calculations do not converge.Conclusions We find a quantitative stability criterion to detect finite-size instabilities related to the spin s · ∆s term of a functional. This criterion could be easily implemented into the standard fitting protocols to fix the coupling constants of the Skyrme functional.

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“…The computations were performed with the FAM code [39,40] using the DFT solver HFBTHO [41] in a singleparticle basis consisting of 20 harmonic oscillator shells. We employed the recently developed EDF UNEDF1-HFB [42] that was optimized at the full Hartree-FockBogoliubov (HFB) level.…”

mentioning

confidence: 99%

Pairing Nambu-Goldstone Modes within Nuclear Density Functional Theory

Hinohara

Nazarewicz

2016

Phys. Rev. Lett.

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We show that the Nambu-Goldstone formalism of the broken gauge symmetry in the presence of the T ¼ 1 pairing condensate offers a quantitative description of the binding-energy differences of open-shell superfluid nuclei. We conclude that the pairing-rotational moments of inertia are excellent pairing indicators, which are free from ambiguities attributed to odd-mass systems. We offer a new, unified interpretation of the binding-energy differences traditionally viewed in the shell model picture as signatures of the valence nucleon properties. We present the first systematic analysis of the off-diagonal pairingrotational moments of inertia and demonstrate the mixing of the neutron and proton pairing-rotational modes in the ground states of even-even nuclei. Finally, we discuss the importance of mass measurements of neutron-rich nuclei for constraining the pairing energy density functional.

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Monopole strength function of deformed superfluid nuclei

Cited by 70 publications

References 51 publications

Self-consistent collective coordinate for reaction path and inertial mass

Self-consistent collective coordinate for reaction path and inertial mass

Spurious finite-size instabilities in nuclear energy density functionals: Spin channel

Pairing Nambu-Goldstone Modes within Nuclear Density Functional Theory

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