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Spiger, R. J.; Tombrello, T. A.

doi:10.1103/physrev.163.964

Cited by 176 publications

(94 citation statements)

References 17 publications

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“…• , with the knowledge that there must be at least one node in the wave function) throughout the region below 8 MeV for both α-t and α-3 He systems [40][41][42][43]. This lack of features is particularly unfortunate in that by far the most important reaction mechanisms for radiative capture in this system are E1 captures from S-and D-wave scattering states.…”

Section: B Scattering Statesmentioning

confidence: 99%

Radiativeα-capture cross sections from realistic nucleon-nucleon interactions and variational Monte Carlo wave functions

Nollett

2001

Phys. Rev. C

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We report the first calculations of cross sections for the radiative capture reactions 3 H(α, γ) 7 Li and 3 He(α, γ) 7 Be below 2 MeV which use wave functions derived from realistic nucleon-nucleon interactions by the variational Monte Carlo technique. After examining several small corrections to the dominant E1 operator, we find energy dependences for the low-energy S-factors which agree reasonably with experimental measurements. There is no contradiction with the previous theoretical understanding of these processes, but the zero-energy derivative of the 3 H(α, γ) 7 Li S-factor is smaller than in most models. While this method can in principle predict cross section normalizations, the normalizations of our results are mostly too low.

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Section: B Scattering Statesmentioning

confidence: 99%

Radiativeα-capture cross sections from realistic nucleon-nucleon interactions and variational Monte Carlo wave functions

Nollett

2001

Phys. Rev. C

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“…In principle, values for 6Li + p could have been obtained by fitting the 6Li + P elastic scattering (complex) phase shifts at low energies; however, different groups using different approaches or approximations have obtained widely different values of the s-wave phase shifts, especially the imaginary parts. Values of a particular nand p Capture by 6Li The experimental values are from Spiger and Tombrello (1967), Lejeune (1968) (approximate), Petitjean et al (1969) and Hardy et al (1972). The full curve is calculated from the parameter values in Table 2.…”

Section: Experimental Data (A) Nucleon Capture Datamentioning

confidence: 99%

Neutron and Proton Capture by 6Li

Barker¹

1980

Aust. J. Phys.

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The 6Li(n, y) and 6Li(p, y) cross sections at low energies are calculated by means of a direct-capture potential model and the results are compared with experimental data. Potential depths chosen to fit 6Li(n, n) and 6Li(n, ex) data are also used for the 6Li + P system. Standard values of the potential parameters and spectroscopic factors give cross sections that are too small for both the (n, y) and (p, y) reactions. However, modified values of these parameters that fit the (n, y) cross section also give good agreement with the (p, y) cross section.

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“…These are compared in Fig. 2 with experimental data [16]. The calculated phase shifts reproduce the general behavior of the experimental data.…”

Section: Elastic Phase Shiftsmentioning

confidence: 60%

“…For the AV8' potential, the bound-state energies are E 3/2 − = −1.348 MeV [16]. The 3/2 − phase shifts are shifted by −90˚for clarity.…”

Section: Elastic Phase Shiftsmentioning

confidence: 97%

Microscopic calculations of elastic scattering between light nuclei based on a realistic nuclear interaction

Dohet-Eraly

Sparenberg²,

Baye³

2011

J. Phys.: Conf. Ser.

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Abstract. The elastic phase shifts for the α + α and α + 3 He collisions are calculated in a cluster approach by the Generator Coordinate Method coupled with the Microscopic R-matrix Method. Two interactions are derived from the realistic Argonne potentials AV8' and AV18 with the Unitary Correlation Operator Method. With a specific adjustment of correlations on the α + α collision, the phase shifts for the α + α and α + 3 He collisions agree rather well with experimental data. IntroductionThe aim of this work is to give a microscopic description of elastic collisions based on a realistic interaction while keeping rather simple basis wave functions. We choose to limit our approach to light colliding nuclei and we illustrate it on the α + α and α + 3 He collisions.For a long time the elastic scattering between light nuclei has been studied in the framework of the Generator Coordinate Method (GCM) [1]. In this model, the system made up of the colliding nuclei is described by a superposition of antisymmetrized states of two clusters separated by a variable distance. Each cluster is described by a Slater determinant of harmonic-oscillator states. After elimination of a Gaussian center-of-mass (c.m.) factor, the wave function of the system becomes invariant under translation (if the oscillator parameters of the two clusters are equal) and can be projected on angular momentum and parity [2]. While it has the required symmetries, the wave function does not have the correct asymptotic behavior of a scattering wave function. This problem is solved by the Microscopic R-matrix Method (MRM) [3,4].With the GCM, a large number of elastic collisions are described with a good precision [5,6]. However, such results are obtained by using phenomenological interactions and fitting one or two parameters for each collision or each partial wave.To obtain a more physical description of collisions and to approach an ab initio calculation, the phenomenological interaction has to be replaced by a realistic interaction reproducing nucleonnucleon phase shifts and properties of the deuteron, such as the Argonne [7,8] interactions. However, the study of elastic scattering with a realistic interaction is much more difficult and only a few collisions have been studied up to now [9,10,11].The GCM basis is not suitable for realistic interactions. Thus, we adapt the wave function by applying a unitary operator or equivalently we adapt the interaction by applying the

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Scattering ofHe3byHe4and of
R. J. Spiger
¹
,
T. A. Tombrello
²

Cited by 176 publications

References 17 publications

Radiativeα-capture cross sections from realistic nucleon-nucleon interactions and variational Monte Carlo wave functions

Radiativeα-capture cross sections from realistic nucleon-nucleon interactions and variational Monte Carlo wave functions

Neutron and Proton Capture by 6Li

Microscopic calculations of elastic scattering between light nuclei based on a realistic nuclear interaction

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Scattering ofHe3byHe4and ofR. J. Spiger1, T. A. Tombrello2

Cited by 176 publications

References 17 publications

Radiativeα-capture cross sections from realistic nucleon-nucleon interactions and variational Monte Carlo wave functions

Radiativeα-capture cross sections from realistic nucleon-nucleon interactions and variational Monte Carlo wave functions

Neutron and Proton Capture by 6Li

Microscopic calculations of elastic scattering between light nuclei based on a realistic nuclear interaction

Contact Info

Product

Resources

About

Scattering ofHe3byHe4and of
R. J. Spiger
¹
,
T. A. Tombrello
²