Description of the proton and neutron radiative capture reactions in the Gamow shell model

Fossez, K.; Michel, N.; Płoszajczak, M.; Jaganathen, Y.; Betán, R. Id

doi:10.1103/physrevc.91.034609

Cited by 42 publications

(158 citation statements)

References 65 publications

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“…As we integrate the IMSRG(2) flow equations, the offdiagonal matrix elements (Γ pp hh and Γ hh pp ) are suppressed rapidly, as suggested by equation (114). We stop the evolution at s = 18.3, where the second-order energy correction calculated with H(s), falls below 10 −6 MeV.…”

Section: Decouplingmentioning

confidence: 99%

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In-medium similarity renormalization group for closed and open-shell nuclei

Hergert¹

2016

Phys. Scr.

145

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Abstract. We present a pedagogical introduction to the In-Medium Similarity Renormalization Group (IMSRG) framework for ab initio calculations of nuclei. The IMSRG performs continuous unitary transformations of the nuclear many-body Hamiltonian in second-quantized form, which can be implemented with polynomial computational effort. Through suitably chosen generators, it is possible to extract eigenvalues of the Hamiltonian in a given nucleus, or drive the Hamiltonian matrix in configuration space to specific structures, e.g., band-or block-diagonal form.Exploiting this flexibility, we describe two complementary approaches for the description of closed-and open-shell nuclei: The first is the Multireference IMSRG (MR-IMSRG), which is designed for the efficient calculation of nuclear ground-state properties. The second is the derivation of nonempirical valence-space interactions that can be used as input for nuclear Shell model (i.e., configuration interaction (CI)) calculations. This IMSRG+Shell model approach provides immediate access to excitation spectra, transitions, etc., but is limited in applicability by the factorial cost of the CI calculations.We review applications of the MR-IMSRG and IMSRG+Shell model approaches to the calculation of ground-state properties for the oxygen, calcium, and nickel isotopic chains or the spectroscopy of nuclei in the lower sd shell, respectively, and present selected new results, e.g., for the ground-and excited state properties of neon isotopes.Submitted to: Phys. Scr.

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Section: Decouplingmentioning

confidence: 99%

“…This setting also creates opportunities for a completely microscopic description of nuclear reactions, see, e.g., [113,114].…”

Section: References States and Many-body Basesmentioning

confidence: 99%

In-medium similarity renormalization group for closed and open-shell nuclei

Hergert¹

2016

Phys. Scr.

145

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“…Detailed discussion of the method of solving the integro-differential GSM-CC equations can be found in Ref. [8]. Therein, one may also find all details of the proton/neutron radiative capture cross-section calculation in the GSM-CC approach.…”

Section: The Gsm Coupled-channel Equationsmentioning

confidence: 99%

“…In the past, GSM has been applied successfully to describe structural properties of many-body bound states, resonances and their decays. In order to describe both the nuclear structure and reactions in a unified theoretical framework, the GSM has been recently formulated in the coupled-channel (CC) representation [7,8]. The GSM-CC approach has been applied to the low-energy elastic and inelastic proton scattering [7] and proton/neutron radiative capture reactions [8].…”

Section: Introductionmentioning

confidence: 99%

AstrophysicalS-factor for⁶Li(ρ, γ)⁷Be in the coupled-channel Gamow shell model

Dong

Fossez

Michel

et al. 2016

EPJ Web of Conferences

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Abstract. We have applied the Gamow shell model (GSM) in the coupled-channel representation to study the astrophysical S -factor for the proton radiative capture reaction of 6 Li. Reaction channels are built by coupling the proton wave function expanded in different partial waves with the GSM wave functions of the ground state (1 + ) and the excited states (3 + 1 , 0 + 1 and 2 + 1 ) of 6 Li. All relevant E1, M1, and E2 transitions from the initial continuum states in 7 Be to the final bound states (3/2 − 1 and 1/2 − 1 ) are included. It is found that the calculated total astrophysical S factor for this reaction agrees well with the experimental data.

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“…A recent analysis of this type is the description of the 7 Be(p,γ) 8 B and the 7 Li(n,γ) 8 Li reactions in Ref. [5]. The key elements of GSM are the Berggren-ensembles of single particle states.…”

Section: Introductionmentioning

confidence: 99%

Distributions of the S-matrix poles in Woods–Saxon and cut-off Woods–Saxon potentials

2016

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The positions of the l = 0 S-matrix poles are calculated in generalized Woods-Saxon (GWS) potential and in cut-off generalized Woods-Saxon (CGWS) potential. The solutions of the radial equations are calculated numerically for the CGWS potential and analytically for GWS using the formalism of Gy. Bencze [1]. We calculate CGWS and GWS cases at small non-zero values of the diffuseness in order to approach the square well potential and to be able to separate effects of the radius parameter and the cut-off radius parameter. In the case of the GWS potential the wave functions are reflected at the nuclear radius therefore the distances of the resonant poles depend on the radius parameter of the potential. In CGWS potential the wave function can be reflected at larger distance where the potential is cut to zero and the derivative of the potential does not exist. The positions of most of the resonant poles do depend strongly on the cut-off radius of the potential, which is an unphysical parameter. Only the positions of the few narrow resonances in potentials with barrier are not sensitive to the cut-off distance. For the broad resonances the effect of the cut-off can not be corrected by using a suggested analytical form of the first order perturbation correction.

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Description of the proton and neutron radiative capture reactions in the Gamow shell model

Cited by 42 publications

References 65 publications

In-medium similarity renormalization group for closed and open-shell nuclei

In-medium similarity renormalization group for closed and open-shell nuclei

AstrophysicalS-factor for⁶Li(ρ, γ)⁷Be in the coupled-channel Gamow shell model

Distributions of the S-matrix poles in Woods–Saxon and cut-off Woods–Saxon potentials

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Description of the proton and neutron radiative capture reactions in the Gamow shell model

Cited by 42 publications

References 65 publications

In-medium similarity renormalization group for closed and open-shell nuclei

In-medium similarity renormalization group for closed and open-shell nuclei

AstrophysicalS-factor for6Li(ρ, γ)7Be in the coupled-channel Gamow shell model

Distributions of the S-matrix poles in Woods–Saxon and cut-off Woods–Saxon potentials

Contact Info

Product

Resources

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AstrophysicalS-factor for⁶Li(ρ, γ)⁷Be in the coupled-channel Gamow shell model