Exact finite range calculations of light-ion induced two-neutron transfer reactions

Takemasa, T.; Tamura, T.; Udagawa, T.

doi:10.1016/0375-9474(79)90126-x

Cited by 19 publications

(4 citation statements)

References 45 publications

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“…To be noticed that work on two-nucleon transfer reactions at sub-barrier Coulomb energies, as well as those which studied the influence of different p − d, d − t channels for particular light ions, e.g. 8 He and 6 He, and the excitation of unnatural parity states of heavy nuclei, have played a relevant role in the development of two-nucleon transfer processes as a quantitative probe [92][93][94][95][96][97][98][99][100][101].…”

Section: And Refs Therein)mentioning

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: And Refs Therein)mentioning

confidence: 99%

Cooper pair transfer in nuclei

Potel¹,

Idini²,

Barranco³

et al. 2013

Rep. Prog. Phys.

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“…In the last 50 years, a significant number of papers have been presented in which absolute differential cross sections have been calculated, and compared with experimental results. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] Traditionally, for example in, 9 the theory predictions have fallen well below the experimental data. This ratio has been called the 'unhappiness factor', 20,21 and has sometimes been more than 100.…”

Section: Introductionmentioning

confidence: 99%

Reaction Mechanisms of Pair Transfer

Thompson

2013

Fifty Years of Nuclear BCS

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The mechanisms of nuclear transfer reactions are described for the transfer of two nucleons from one nucleus to another. Two-nucleon overlap functions are defined in various coordinate systems, and their transformation coefficients given between coordinate systems. Post and prior couplings are defined for sequential transfer mechanisms, and it is demonstrated that the combination of 'prior-post' couplings avoids nonorthogonality terms, but does not avoid couplings that do not have good zero-range approximations. The simultaneous and sequential mechanisms are demonstrated for the 124 Sn(p,t) 122 Sn reaction at 25 MeV using shell-model overlap functions. The interference between the various simultaneous and sequential amplitudes is shown.

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“…Due to the fact that the number of Cooper pairs participating in the nuclear condensate is small, 5-10 in the case of typical superfluid nuclei like the Snisotopes, one can study the phenomenon in terms of specific orbitals, some of which play an essential role in the transfer process (hot orbitals). For this purpose, absolute differential cross sections dσ((A + a) −→ ((A + 2) + (a − 2)))/dΩ must be measured as well as calculated (Yoshida (1962), Ascuitto and Glendenning (1969), Ascuitto et al (1971), Glendenning (1963), Glendenning (1965), Bjerregaard et al (1966), Glendenning (1968), Bayman (1971), Broglia (1973), Broglia et al (1973), Charlton (1976), Hashimoto and Kawai (1978), Takemasa et al (1979), Bayman and Chen (1982), Maglione et al (1985), Igarashi et al (1991), Becha et al (1997), Tanihata et al (2008), Potel et al (2010)).…”

Section: Introductionmentioning

confidence: 99%

Single Cooper pair transfer in stable and in exotic nuclei

Potel,

Idini,

Barranco

et al. 2009

Preprint

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renormalized by medium polarization effects (structure), also meant the end of superconductivity as a wide open, speculative field and the beginning of a thoroughly quantitative "exact" era, with uncertainties below the 10% level.From this vantage point of view it is not difficult to argue that important progress in the understanding of pairing in atomic nuclei will arise from a systematic, quantitative study of two-particle transfer reactions on drip line, exotic, halo nuclei (like for example 11 Li), stabilized by the pairing correlations associated with a single Cooper pair, as well as on many (but still few)-Cooper pair systems like e.g. the Sn-isotopes, setting equal emphasis on the structure as well as on the reaction aspects of the process. Time seems ripe for such a study, in keeping with the fact that one now knows how to correlate pairs of nucleons taking properly into account the interplay between bare and medium polarization (induced) nuclear pairing interactions. Also how to calculate the absolute value of the twoparticle transfer cross sections taking properly into account the full non-locality of the Cooper pairs, as well as the multistep (successive, simultaneous and nonorthogonality) contributions to it. The above expectation is strongly supported by the results emerging from the analysis of a broad sample of two-nucleon transfer data.In particular, from the analysis of recent data from (p, t) reactions on 11 Li and Sn-isotopes, carried out making use of a unified nuclear field theoretical description of structure and reaction mechanisms, which testify to the fact that theory is now able to provide an overall account of the experimental findings, in particular of the absolute two-particle transfer cross section, within experimental errors and without adjusting any free parameter. This is also true when the multistep theory of two-particle transfer together with detailed, microscopic, nuclear structure wavefunctions is applied to (t, p) and ( 16 O, 18 O) data associated with the 206 Pb(gs) 208 Pb(gs) processes.

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Exact finite range calculations of light-ion induced two-neutron transfer reactions

Cited by 19 publications

References 45 publications

Cooper pair transfer in nuclei

Cooper pair transfer in nuclei

Reaction Mechanisms of Pair Transfer

Single Cooper pair transfer in stable and in exotic nuclei

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