Erratum to “Modified two-body potential approach to the peripheral direct capture astrophysical <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>a</mml:mi><mml:mo>+</mml:mo><mml:mi>A</mml:mi><mml:mo>→</mml:mo><mml:mi>B</mml:mi><mml:mo>+</mml:mo><mml:mi>γ</mml:mi></mml:math> reaction and asymptotic normalization coefficients” [Nucl. Phys. A 781 (2007) 247]

Igamov, S. B.; Yarmukhamedov, R.

doi:10.1016/j.nuclphysa.2009.12.004

Cited by 15 publications

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“…As a result, the uncertainty found from an analysis of our data for the value of the asymptotic normalization coefficient may be underestimated. In view of this, we additionally tested the correctness of the value of the asymptotic normalization coefficient for the reaction p + 14 N → 15 O(6.793 MeV; 3/2 − ) by analyzing experimental astrophysical S factors for the reaction 14 N(p, γ) 15 O(6.793 MeV; 3/2 − ) [6], which are highly accurate in the off-resonance energy region, relying on the modified two-particle potential approach [37] 1) Here, we take the opportunity to note that there is a misprint in [23]: the phase factor e 2i(w l i −δ l i ) is missing in the integrand in (13) for the direct-radiative-capture amplitude in front of the function O l i (r). and assuming that, in this energy region, radiative proton capture by a 14 N nucleus is direct.…”

Section: Analysis Of the Reaction 14 N(p γ) 15 O Within The R-matrixmentioning

confidence: 99%

Extrapolation of astrophysical S factors for the reaction 14N((p, γ) 15O to near-zero energies

et al. 2012

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The astrophysical S factors for the radiative-capture reaction 14 N(p, γ) 15 O in the region of ultralow energies were calculated on the basis of the R-matrix approach. The values of the radiative and protonic widths were fitted to new experimental data. The contribution of direct radiative capture to bound states of the 15 O nucleus was determined with the aid of asymptotic normalization coefficients, whose values were refined in the present study on the basis of the results obtained from an analysis of the reaction 14 N( 3 He, d) 15 O at three different energies of incident helium ions. A value of S(0) = 1.79 ± 0.31 keV b was obtained for the total astrophysical S factor, and the reaction rate was determined for the process 14 N(p, γ) 15 O.

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Section: Analysis Of the Reaction 14 N(p γ) 15 O Within The R-matrixmentioning

confidence: 99%

Extrapolation of astrophysical S factors for the reaction 14N((p, γ) 15O to near-zero energies

et al. 2012

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“…[5], respectively, if the comments made in Ref. [5] are taken into account. The normalization for the partial amplitude (22) differs from that chosen in Ref.…”

Section: Effective-range Expansion and Nuclear Vertex Constantmentioning

confidence: 99%

“…[4,18,19] is taken into account. First, a single free parameter, the scattering length a lj , is adjusted by averaging its value obtained from Eqs.…”

Section: Applicationsmentioning

confidence: 99%

“…The experimental ANC values for the ground and first excited states of the 7 Li and 7 Be nuclei in α + t → 7 Li and α + 3 He → 7 Be, respectively, are taken from Refs. [4,19]. The corresponding effective-range parameters are given in Table I. As seen in Figs.…”

Section: B α + T and α + 3 Hementioning

confidence: 99%

“…Several sets of parameters can describe equally well the low-energy phase shifts. One possibility for removing this ambiguity lies in a consistent description of the low-energy scattering of two particles and of the fundamental characteristics of a two-body (A + a) weakly bound state composed of these two particles [4][5][6][7]. The essential quantities required for such a description are the binding energy of this state and its nuclear vertex constant (NVC) or its asymptotic normalization coefficient (ANC) which determines the amplitude of the tail of the bound-state wave function in the two-particle channel.…”

Section: Introductionmentioning

confidence: 99%

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Connection between effective-range expansion and nuclear vertex constant or asymptotic normalization coefficient

Yarmukhamedov

Baye

2011

Phys. Rev. C

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Explicit relations between the effective-range expansion and the nuclear vertex constant or asymptotic normalization coefficient (ANC) for the virtual decay B → A + a are derived for an arbitrary orbital momentum together with the corresponding location condition for the (A + a) bound-state energy. They are valid both for the charged case and for the neutral case. Combining these relations with the standard effective-range function up to order six makes it possible to reduce to two the number of free effective-range parameters if an ANC value is known from experiment. Values for the scattering length, effective range, and form parameter are determined in this way for the 16 O + p, α + t, and α + 3 He collisions in partial waves where a bound state exists by using available ANCs deduced from experiments. The resulting effective-range expansions for these collisions are valid up to energies larger than 5 MeV.

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Low-energy radiative-capture reactions within two-cluster coupled-channel description

Canton

Levchuk

2008

Nuclear Physics A

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The formalism that describes radiative-capture reactions at low energies within an extended two-cluster potential model is presented. Construction of the operator of single-photon emission is based on a generalisation of the Siegert theorem with which the amplitude of the electromagnetic process is constructed in an explicitly gauge-independent way. While the starting point for this construction is a microscopic (single-nucleon) current model, the resulting operator of low-energy photon emission by a two-cluster system is expressed in terms of macroscopic quantities for the clusters and does not depend directly on their intrinsic coordinates and momenta. The multichannel algebraic scattering (MCAS) approach has been used to construct the initial-and final-state wave functions. We present a general expression for the scattering wave function obtained from the MCAS T matrix taking into account inelastic channels and Coulomb distortion. The developed formalism has been tested on the 3 He(α, γ) 7 Be reaction cross section at astrophysical energies. The energy dependence of the evaluated cross section and S factor agrees well with that extracted from measurement though the calculated quantities slightly overestimate data.are the reduced matrix elements of the magnetic dipole and electric quadrupole operators for cluster A, B. In a 28 particular case of transitions that do not change the fragment intrinsic states (φ A,B), they are related to the static magnetic dipole (µ A,B ) and electric quadrupole (Q A,B ) moments of the nucleus A, B through the corresponding definitions [28]

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Erratum to “Modified two-body potential approach to the peripheral direct capture astrophysical a+A→B+γ reaction and asymptotic normalization coefficients” [Nucl. Phys. A 781 (2007) 247]

Cited by 15 publications

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Extrapolation of astrophysical S factors for the reaction 14N((p, γ) 15O to near-zero energies

Extrapolation of astrophysical S factors for the reaction 14N((p, γ) 15O to near-zero energies

Connection between effective-range expansion and nuclear vertex constant or asymptotic normalization coefficient

Low-energy radiative-capture reactions within two-cluster coupled-channel description

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