Spectroscopic factors and nuclear vertex constants from the (p, d) reactions on7Li,9Be and13C nuclei

Goncharov, S. A.; Mukhamedzhanov, A. M.; Romanovskii, E.A.; Valiev, G. E.; Gulamov, I.R.; Iskhakov, Tagir; Nie, G. K.; Tomopheyuk, N. K.; Yarmukhamedov, R.; Kroha, V.; Stepanenko, V. A.

doi:10.1007/bf01597664

Cited by 8 publications

(4 citation statements)

References 9 publications

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“…TABLE V. GSM predictions for ANCs in mirror systems compared to VMC results [6] and experimental data [1,[44][45][46][47]. For 6 Li 1 + + n → 7 Li 3/2 − , two experimental values have been reported [44]. For A = 6 − 8 systems, we show individual contributions from p 1/2 and p 3/2 channels and their Hermitian norm (3).…”

Section: B Csm Description Of Ancs For Bound Statesmentioning

confidence: 93%

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Asymptotic normalization coefficients and continuum coupling in mirror nuclei

et al. 2012

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Background: An asymptotic normalization coefficient (ANC) characterizes the asymptotic form of a one-nucleon overlap integral required for description of nucleon-removal reactions.Purpose: We investigate the impact of the particle continuum on proton and neutron ANCs for mirror systems from p-and sd-shell regions. Method:We use the real-energy and complex-energy continuum shell model approaches.Results: We studied the general structure of the single-particle ANCs as a function of the binding energy and orbital angular momentum. We computed ANCs in mirror nuclei for different physical situations, including capture reactions to weakly-bound and unbound states. Conclusions:We demonstrated that the single-particle ANCs exhibit generic behavior that is different for charged and neutral particles. We verified the previously proposed relation [1] between proton and neutron mirror ANCs. We find minor modifications if the spectroscopic strength is either localized in a single state or broadly distributed. For cases when several states couple strongly to the decay channel, these modifications may reach 30%.

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Section: B Csm Description Of Ancs For Bound Statesmentioning

confidence: 93%

“…(30). TABLE V. GSM predictions for ANCs in mirror systems compared to VMC results [6] and experimental data [1,[44][45][46][47]. For 6 Li 1 + + n → 7 Li 3/2 − , two experimental values have been reported [44].…”

Section: B Csm Description Of Ancs For Bound Statesmentioning

confidence: 99%

Asymptotic normalization coefficients and continuum coupling in mirror nuclei

et al. 2012

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“…The comparison with experiment here is difficult because of the wide range of estimates, which extend from C 2 lj = 1.26 to 2.82 fm −1/2 just from (d, t) at varying energy ( [7], with full range shown in Fig. 3) and include other values within that range [38,40]. The effective ANC of Huang et al [41], whose capture model successfully matches 6 Li(p, γ) 7 Be data, is 25% below ours.…”

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confidence: 99%

Asymptotic normalization coefficients from ab initio calculations

Nollett,

Wiringa

2011

Preprint

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We present calculations of asymptotic normalization coefficients (ANCs) for one-nucleon removals from nuclear states of mass numbers 3 ≤ A ≤ 9. Our ANCs were computed from variational Monte Carlo solutions to the many-body Schrödinger equation with the combined Argonne v18 two-nucleon and Urbana IX three-nucleon potentials. Instead of computing explicit overlap integrals, we applied a Green's function method that is insensitive to the difficulties of constructing and Monte Carlo sampling the long-range tails of the variational wave functions. This method also allows computation of the ANC at the physical separation energy, even when it differs from the separation energy for the Hamiltonian. We compare our results, which for most nuclei are the first ab initio calculations of ANCs, with existing experimental and theoretical results and discuss further possible applications of the technique.

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“…[26][27][28][29][30][31] and references therein). However, the ANC method has been applied only for transfer reactions populating bound states.…”

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Theory of deuteron stripping: From surface integrals to a generalizedR-matrix approach

Mukhamedzhanov

2011

Phys. Rev. C

120

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There are two main reasons for absence of the practical theory of stripping to resonance states which could be used by experimental groups: numerical problem of the convergence of the DWBA matrix element when the full transition operator is included and it is unclear what spectroscopic information can be extracted from the analysis of transfer reactions populating the resonance states. The purpose of this paper is to address both questions. The theory of the deuteron stripping is developed, which is based on the post continuum discretized coupled channels (CDCC) formalism going beyond of the DWBA and surface integral formulation of the reaction theory [A. S. Kadyrov et al., Ann. Phys. 324, 1516. First, the formalism is developed for the DWBA and then extended to the CDCC formalism, which is ultimate goal of this work. The CDCC wave function takes into account not only the initial elastic d + A channel but also its coupling to the deuteron breakup channel p + n + A missing in the DWBA. Stripping to both bound states and resonances are included. The convergence problem for stripping to resonance states is solved in the post CDCC formalism. The reaction amplitude is parametrized in terms of the reduced width amplitudes (ANCs), inverse level matrix, boundary condition and channel radius, that is the same parameters which are used in the conventional R-matrix method. For stripping to resonance states many-level, one and two-channel cases are considered. The theory provides a consistent tool to analyze both binary resonant reactions and deuteron stripping in terms of the same parameters.

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Spectroscopic factors and nuclear vertex constants from the (p, d) reactions on7Li,9Be and13C nuclei

Cited by 8 publications

References 9 publications

Asymptotic normalization coefficients and continuum coupling in mirror nuclei

Asymptotic normalization coefficients and continuum coupling in mirror nuclei

Asymptotic normalization coefficients from ab initio calculations

Theory of deuteron stripping: From surface integrals to a generalizedR-matrix approach

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