Treatment of the spurious states in nuclear field theory

Broglia, R.A.; Mottelson, Ben R.; Bès, D.R.; Liotta, R.J.; Sofía, H.M.

doi:10.1016/0370-2693(76)90348-8

Cited by 25 publications

(27 citation statements)

References 2 publications

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“…A possible answer to such a quest was provided by the Nuclear Field Theory (NFT) [25][26][27][28][29][30][31]. With four rules which allow to select the interactions (particle-vibration coupling and four-point vertices v), calculate the collective (e.g.…”

Section: Nuclear Field Theorymentioning

confidence: 99%

Cooper pair transfer in nuclei

Potel¹,

Idini²,

Barranco³

et al. 2013

Rep. Prog. Phys.

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The second-order distorted wave Born approximation implementation of two-particle transfer direct reactions which includes simultaneous and successive transfer, properly corrected by non-orthogonality effects, is tested with the help of controlled nuclear structure and reaction inputs against data spanning the whole mass table, and showed to constitute a quantitative probe of nuclear pairing correlations.

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Section: Nuclear Field Theorymentioning

confidence: 99%

Cooper pair transfer in nuclei

Potel¹,

Idini²,

Barranco³

et al. 2013

Rep. Prog. Phys.

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“…The bare residual interaction lowers this configuration by less than 100 keV. On the other hand the exchange of the quadrupole mode of the 9 Li core and of the pigmy resonance of 11 Li lead to a neutron Cooper pair bound by about 300 keV, the experimental value being ≈ 380 keV. This neutron halo state is the pair addition mode of the N=6, 9 Li closed shell system.…”

Section: A Single Cooper Pair Nuclear Systemmentioning

confidence: 93%

“…The concepts of elementary modes of excitation introduced by Landau, together with the flexible rules for picturing what cannot be pictured, namely virtual states, known as Feynman diagrams † are at the basis of Nuclear Field Theory (NFT). [8][9][10][11][12][13] It provides the rules to work out the interweaving of collective and single-particle degrees of freedom in atomic nuclei. In much the same way as in QED [14][15][16][17][18][19][20] , the corresponding couplings and associated renormalization effects arize, in the nuclear case from virtual processes, associated with vacuum (ground state) fluctuations, processes which can become real in the presence of an external field (probe).…”

Section: Overviewmentioning

confidence: 99%

“…This is possible by treating on equal footing, for example within the framework of NFT, both structure and reactions (see [8][9][10][11][12][13] and; 26,27,33,37 see also the contribution of Thompson to the present Volume), and making use of global sets of optical parameters. No details are given in the present contribution as to the methods, routines and theoretical details entering the calculations, as they have been extensively reported in the literature quoted above (see also the contribution of Potel and Broglia to this Volume).…”

Section: Level Of Accuracy Of Pairing Vibrational and Rotational Studmentioning

confidence: 99%

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More is Different: 50 Years of Nuclear BCS

Broglia

2013

Fifty Years of Nuclear BCS

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World Scientific Review Volume -9.75in x 6.5in 120507˙˙more˙is˙diff 2 R.A. Broglia acids occurring in nature, and the associated symmetry breaking in information (sequence) space. Emergent properties of the corresponding phase transition are domain walls which stabilize local elementary structures (LES), few groups of 10-20 aminoacids which become structured already in the denatured state with varied degree of stability, and which can be viewed as (mutually complementary) virtual secondary structures providing the molecular recognition directing protein folding under biological conditions (solvent, temperature, pH, etc.). In fact, their docking is closely related to the transition state of the process. While the two-step, yes or no, folding process, does not provide direct information concerning LES, one can force LES from virtual to become real, observable final state entities. Getting again inspiration from the nuclear case (virtual processes contributing to pair correlations can be forced to become real with the help of a probe which itself changes particle number by two), one would expect that to make real virtual LES, that is segments of the protein which already at an early stage of the folding process flicker in and out of their native conformation, one needs a probe which itself displays a similar behaviour. It is almost self-evident that peptides (p-LESi) displaying a sequence identical to LESi will bind with high specificity to its complementary LESj, blocking folding and exposing the (p-LES)i-LESj complex to direct observation. Results in vitro and ex vivo (infected cells) of the folding inhibition ability of p-LES, testify to the soundness of the picture. Based again on the analogy with the nuclear case (become theoretically and experimentally quantitative in the prediction and measurements of Cooper-pair tunneling), much effort has been concentrated in defining the new paradigm of protein inhibition, namely folding inhibition, and to develop the in silica protocols, and the wet laboratory activity assays, which quantitatively can map out the role LES play in folding. It is expected that eventually, this insight can help in developing p-LES into leads of non-conventional drugs.

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“…the phonons, and the single particle degrees of freedom. Widely used theoretical approaches are the quasi-particle-phonon model (QPM) [6], the extended theory of finite Fermi system (ETFFS) [7], and the nuclear field theory (NFT) [8,9], based on the particle-vibration coupling (PVC) idea. The NFT, that we will adopt in this paper, provides us with a consistent and perturbative framework in which phonons and single-particle degrees of freedom are considered as the relevant independent building blocks of the low-lying spectrum of finite nuclei.…”

Section: Introductionmentioning

confidence: 99%

Microscopic calculations beyond mean-field with zero-range effective interactions

Brenna

Bortignon

Roca-Maza

2012

EPJ Web of Conferences

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A completely microscopic formalism has been developed to treat the observable properties of singleparticle states (e.g. energies and spectroscopic factors), as well as of collective states (e.g., their energy centroid, their damping width and their gamma decay to the ground state or to low lying states) beyond mean-field. The phonons are calculated within the fully self-consistent random phase approximation (RPA). The particle-vibration coupling (PVC) is accounted for within the framework of the nuclear field theory (NFT) at the lowest contributing order. All the calculations have been performed using the whole effective Skyrme interaction.

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Treatment of the spurious states in nuclear field theory

Cited by 25 publications

References 2 publications

Cooper pair transfer in nuclei

Cooper pair transfer in nuclei

More is Different: 50 Years of Nuclear BCS

Microscopic calculations beyond mean-field with zero-range effective interactions

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