Nuclear field theory predictions for 11Li and 12Be: Shedding light on the origin of pairing in nuclei

Potel, G.; Idini, A.; Barranco, F.; Vigezzi, E.; Broglia, R. A.

doi:10.1134/s106377881407014x

Cited by 9 publications

(8 citation statements)

References 73 publications

(319 reference statements)

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“…In four of the insets, absolute differential cross sections from selected (t, p) and (p, t) reactions calculated as described in the text (see. [90,164]), are shown in comparison with the experimental data [165,166]. 32 Within this context, one can mention that a consistent description of the GQR and of the GIQR is obtained assuming that the average eccentricity of neutron orbits is equal to the average eccentricity of the proton orbits [65] , the scenario of neutron skin.…”

Section: To Quote But Just Two Results and One Outstanding Open Probl...mentioning

confidence: 95%

“…The two-nucleon spectroscopic amplitudes corresponding to the reaction 10 Be(p,t) 8 Be(gs) and displayed in Table B1, were obtained solving the RPA coupled equations (determinant) associated with the 10 Be(gs) pair-removal mode, making use of two pairing coupling constants , to properly deal with the difference in matrix elements (overlaps) between core-core, core-halo and halo-halo two-particle configurations (for details see [164]). In other words with a "selfconsistent" treatment of the halo particle states (ε k > ε F ), in particular of the d 2 5/2 (0) halo state.…”

Section: B the Pairing Vibrational Spectrum Of 10 Bementioning

confidence: 99%

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Unified description of structure and reactions: implementing the nuclear field theory program

Broglia¹,

Bortignon²,

Barranco³

et al. 2016

Phys. Scr.

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Abstract. The modern theory of the atomic nucleus results from the merging of the liquid drop (Niels Bohr and Fritz Kalckar) and of the shell model (Marie Goeppert Meyer and Axel Jensen), which contributed the concepts of collective excitations and of independent-particle motion respectively. The unification of these apparently contradictory views in terms of the particle-vibration (rotation) coupling (Aage Bohr and Ben Mottelson) has allowed for an ever increasingly complete, accurate and detailed description of the nuclear structure, Nuclear Field Theory (NFT, developed by the Copenhagen-Buenos Aires collaboration) providing a powerful quantal embodiment. In keeping with the fact that reactions are not only at the basis of quantum mechanics (statistical interpretation, Max Born) , but also the specific tools to probe the atomic nucleus, NFT is being extended to deal with processes which involve the continuum in an intrinsic fashion, so as to be able to treat them on an equal footing with those associated with discrete states (nuclear structure). As a result, spectroscopic studies of transfer to continuum states could eventually use at profit the NFT rules, extended to take care of recoil effects. In the present contribution we review the implementation of the NFT program of structure and reactions, setting special emphasis on open problems and outstanding predictions.

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Section: To Quote But Just Two Results and One Outstanding Open Probl...mentioning

confidence: 95%

Section: B the Pairing Vibrational Spectrum Of 10 Bementioning

confidence: 99%

Unified description of structure and reactions: implementing the nuclear field theory program

Broglia¹,

Bortignon²,

Barranco³

et al. 2016

Phys. Scr.

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“…Concerning the dipole instability and associated conspicuous dipole zero-point fluctuations, the phenomenon is common to nuclei around the N = 6 closed shell system (see e.g. [124] and refs. therein).…”

Section: Iii2 Mean Field Modelsmentioning

confidence: 99%

Pygmy resonances: what’s in a name?

Broglia¹,

Barranco²,

Idini³

et al. 2019

Phys. Scr.

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The centroid, width and percentage of energy weighted sum rule of dipole resonances can be strongly affected by dynamical fluctuations and static deformations of the nuclear surface, deformations and fluctuations which, in turn, depend on pairing, and thus on Cooper pairs. Because of angular momentum conservation, such insight is restricted, to lowest order, to deformations of quadrupole and monopole arXiv:1806.09409v3 [nucl-th] 11 Apr 2019 type. The latter being closely connected with the neutron (excess) skin and thus with soft dipole modes. From the values (N − Z)/A ≈ 0.18, 0.21, and 0.45 for the nuclei 122 Sn, 208 Pb, and 11 Li, it is expected that the latter system, which is weakly bound by pairing effects (spatially extended single Cooper pair and odd proton acting as spectator), constitutes an attractive laboratory to study the properties of soft E1-modes and thus of isospin nuclear deformation. From the calculation of the full dipole response function in QRPA, discretizing the continuum in a spherical box of radius of 40 fm, one finds a GDR with centroid E x ≈ 24 MeV, width Γ ≈ 11 MeV and carrying 90% of the EWSR, and a low-lying collective resonance characterized by E X = 0.75 MeV, Γ = 0.5 MeV and 6.2% EWSR The wave function of the latter resonance is built out of about fifteen components (both protons and neutrons), typical of a collective mode. The transition densities indicate this soft E1-mode to be generated by surface density oscillation of the neutron skin (∆r np ≈ 1.71 fm)relative to an approximately isospin-saturated core. Through a detailed study of the full dipole response of 11 Li we will draw a comparison between the soft E1-mode of this halo nucleus and the PDR of heavy stable nuclei, pointing to the physical similarities and also to the basic differences.

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“…The ZPF contribution to the binding energy of these two nuclei (see ref. [54] for details of the general framework) arises from dipole, quadrupole and octupole (p, h) vibrations and from monopole pair vibrational modes (see also [58]).…”

Section: Entanglement and Correlationsmentioning

confidence: 99%

Radioactive beams and inverse kinematics: probing the quantal texture of the nuclear vacuum

Barranco

Potel

Vigezzi

et al. 2019

Preprint

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The properties of the quantum electrodynamic (QED) vacuum in general, and of the nuclear vacuum (ground) state in particular are determined by virtual processes implying the excitation of a photon and of an electron-positron pair in the first case and of, for example, the excitation of a collective quadrupole surface vibration and a particle-hole pair in the nuclear case. Signals of these processes can be detected in the laboratory in terms of what can be considered a nuclear analogue of Hawking radiation. An analogy which extends to other physical processes involving QED vacuum fluctuations like the Lamb shift, pair creation by γ−rays, van der Waals forces and the Casimir effect, to the extent that one concentrates on the eventual outcome resulting by forcing a virtual process to become real, and not on the role of the black hole role in defining the event horizon. In the nuclear case, the role of this event is taken over at a microscopic, fully quantum mechanical level, by nuclear probes (reactions) acting on a virtual particle of the zero point fluctuation (ZPF) of the nuclear vacuum in a similar irreversible, no-return, fashion as the event horizon does, letting the other particle, entangled with the first one, escape to infinity, and eventually be detected. With this proviso in mind one can posit that the reactions 1 H( 11 Be, 10 Be(2 + ;3.37 MeV)) 2 H and 1 H( 11 Li, 9 Li(1/2 − ; 2.69 MeV)) 3 H together with the associated γ−decay processes indicate a possible nuclear analogy of Hawking radiation.

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Nuclear field theory predictions for 11Li and 12Be: Shedding light on the origin of pairing in nuclei

Cited by 9 publications

References 73 publications

Unified description of structure and reactions: implementing the nuclear field theory program

Unified description of structure and reactions: implementing the nuclear field theory program

Pygmy resonances: what’s in a name?

Radioactive beams and inverse kinematics: probing the quantal texture of the nuclear vacuum

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