Interweaving of elementary modes of excitation in superfluid nuclei through particle-vibration coupling: Quantitative account of the variety of nuclear structure observables

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

doi:10.1103/physrevc.92.031304

Cited by 27 publications

(47 citation statements)

References 38 publications

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“…In particular to the one-particle tunneling between a normal and a superconducting metal in weak contact, as compared to a (d, p) reaction on a superfluid target nucleus. While the condensed matter expression of the associated current does not depend on the occupation factors U 2 k ( [14] and [15] p. 81), the nuclear one-particle transfer amplitude does [16]. This is in keeping with the fact in condensed matter, for a state k above F with energy…”

Section: Introductionmentioning

confidence: 56%

“…also [29]). Within this context, it is to be noted that the low-lying 0 + (coexistence) state of 16 O mentioned above is opposite to a multi-phonon pairing vibrational state, in keeping with the fact that deformation (low level density, Jahn-Teller-like phenomenon) opposes pairing (high level density phenomenon, [8], p. 386 and 641, [29]). …”

Section: Introductionmentioning

confidence: 99%

“…a field which conserves the number of particles. A special case of this type of modes is provided by the so-called coexistence states in N = Z nuclei, in particular in 16 O. The 0 + state observed at 6.05 MeV contains a large component of 4p-4h admixture of deformed configurations [20,21].…”

Section: Introductionmentioning

confidence: 99%

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Elastic response of the atomic nucleus in gauge space: Giant Pairing Vibrations

Bortignon

Broglia

2016

Eur. Phys. J. A

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Abstract. Due to quantal fluctuations, the ground state of a closed shell system A 0 can become virtually excited in a state made out of the ground state of the neighbour nucleus |gs(A 0 + 2) (|gs(A0 − 2) ) and of two uncorrelated holes (particles) below (above) the Fermi surface. These J π = 0 + pairing vibrational states have been extensively studied with two-nucleon transfer reactions. Away from closed shells, these modes eventually condense, leading to nuclear superfluidity and thus to pairing rotational bands with excitation energies much smaller than ω 0, the energy separation between major shells. Pairing vibrations are the plastic response of the nucleus in gauge space, in a similar way in which low-lying quadrupole vibrations, i.e. surface vibrations with energies much smaller than ω 0 whose eventual condensation leads to quadrupole deformed nuclei, provide an example of the plastic nuclear response in 3D space. While much is known, in particular concerning its damping, regarding the counterpart of quadrupole plastic modes, i.e. regarding the giant quadrupole resonances (GQR), J π = 2 + elastic response of the nucleus with energies of the order of ω 0, little is known regarding this subject concerning pairing modes (giant pairing vibrations, GPV). Consequently, the recently reported observation of L = 0 resonances, populated in the reactions 12 C( 18 O, 16 O) 14 C and 13 C( 18 O, 16 O) 15 C and lying at an excitation energy of the order of ω0, likely constitutes the starting point of a new field of research, that of the study of the elastic response of nuclei in gauge space. Not only that, but also the fact that the GPV have likely been serendipitously observed in these light nuclei when it has failed to show up in more propitious nuclei like Pb, provides unexpected and fundamental insight into the relation existing between basic mechanisms -Landau, doorway, compound damping-through which giant resonances acquire a finite lifetime, let alone the radical difference regarding these phenomena displayed by correlated (ph) and (pp) modes.

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Section: Introductionmentioning

confidence: 56%

Section: Introductionmentioning

confidence: 99%

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Elastic response of the atomic nucleus in gauge space: Giant Pairing Vibrations

Bortignon

Broglia

2016

Eur. Phys. J. A

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“…Making use of the fact that in superfluid nuclei lying along the stability valley like e.g. the Sn-isotopes, about half of the neutron pairing gap is associated with the induced pairing interaction [16,17], that is, ∆ ind ≈ g pv α 0 = ∆ exp /2 ≈ 0.8 MeV, where g pv is the particle-vibration coupling parameter (equal to minus the induced pairing interaction), and of the fact that the mass enhancement factor λ (i.e. m ω = m(1 + λ) ≈ 1.4m, see e.g.…”

Section: Physical Nucleons and Induced Pairingmentioning

confidence: 99%

“…120 Sn, but one can do pretty well to work out the properties of the low-energy mode of this nucleus, also the collective energieshω L = E L − E 0 , and thus the associated ZPF and zero point energy E 0 , by renormalizing QRPA solutions to lowest order through self-energy and vertex corrections contributions [16]. Now, if the collective phonons are not the main object of the study, but are to be used to cloth the single-particle states and give rise to the induced pairing interaction, one can make use of phonons which account for the experimental findings (empirical renormalization [17], see also [45,46]).…”

Section: Elementary Modes Of Excitation: Empirical Renormalizationmentioning

confidence: 99%

From bare to renormalized order parameter in gauge space: Structure and reactions

et al. 2017

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The physical reason why one can calculate with similar accuracy, as compared to the experimental data, the absolute cross section associated with two-nucleon transfer processes between members of pairing rotational bands, making use of simple BCS (constant matrix elements) or of many-body (Nambu-Gorkov (NG), nuclear field theory (NFT)) spectroscopic amplitudes, is not immediately obvious. Restoration of spontaneous symmetry breaking and associated emergent generalised rigidity in gauge space provides the answer, and points to a new emergence: a physical sum rule resulting from the intertwining of structure and reaction processes and closely connected with the central role induced pairing interaction plays in structure together with the fact that successive transfer dominates Cooper pair tunnelling.arXiv:1705.11083v1 [nucl-th]

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Pion–nucleon correlations in finite nuclei in a relativistic framework: Effects on the shell structure

Литвинова¹

2016

Physics Letters B

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The relativistic particle-vibration coupling (RPVC) model is extended by the inclusion of isospinflip excitation modes into the phonon space, introducing a new mechanism of dynamical interaction between nucleons with different isospin in the nuclear medium. Protons and neutrons exchange by collective modes which are formed by isovector π and ρ-mesons, in turn, softened considerably because of coupling to nucleons of the medium. These modes are investigated within the protonneutron relativistic random phase approximation (pn-RRPA) and relativistic proton-neutron time blocking approximation (pn-RTBA). The appearance of isospin-flip states with sizable transition probabilities at low energies points out that they are likely to couple to the single-particle degrees of freedom and, in addition to isoscalar low-lying phonons, to modify their spectroscopic characteristics. Such a coupling is quantified for the shell structure of 100,132 Sn and found significant for the location of the dominant single-particle states.

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Interweaving of elementary modes of excitation in superfluid nuclei through particle-vibration coupling: Quantitative account of the variety of nuclear structure observables

Cited by 27 publications

References 38 publications

Elastic response of the atomic nucleus in gauge space: Giant Pairing Vibrations

Elastic response of the atomic nucleus in gauge space: Giant Pairing Vibrations

From bare to renormalized order parameter in gauge space: Structure and reactions

Pion–nucleon correlations in finite nuclei in a relativistic framework: Effects on the shell structure

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