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Oliveira, F. de; Coc, A.; Aguer, P.; Bogaert, G.; Kiener, J.; Lefèbvre, A.; Tatischeff, V.; Thibaud, J. P.; Fortier, S.; Maison, J.M.; Rosier, L.; Rotbard, G.; Vernotte, J.; Wilmes, S.; Mohr, P.; Kölle, V.; Staudt, G.

doi:10.1103/physrevc.55.3149

Cited by 37 publications

(16 citation statements)

References 18 publications

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“…To compare Eqs. (40) and (43) we calculate them both at the surface, R N = 5 fm, as has been done in other studies of mirror symmetry in the 19 F-19 Ne resonances [18,19]. The ratio R 0 /R θ is plotted in state with l α = 2, where a 10% increase in the ratio of mirror widths can be seen.…”

Section: Unbound Mirror Pairsmentioning

confidence: 98%

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Isospin symmetry in mirror α decays

2007

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We show that a consequence of isospin symmetry, recently discovered in mirror conjugated one-nucleon decays, can be extended to mirror-conjugated α-particle decays, both virtual and real. For virtual α decays of bound mirror pairs this symmetry manifests itself as a relation between the asymptotic normalization coefficients (ANCs) of α-particle overlap integrals. This relation is given by a simple analytical formula that involves α-particle separation energies and charges of residual nuclei. For bound-unbound mirror pairs, the ANC of a bound nucleus is related to the α width of the mirror unbound level. For unbound mirror pairs we get a new analytical formula that relates the widths of mirror resonances. We test the validity of these analytical formulas against the predictions of a two-body potential and of a many-body microscopic cluster model for several mirror states in 7 Li-7 Be, 11 B-11 C, and 19 F-19 Ne isotopes. We show that these analytical formulas are valid in many cases but that some deviations can be expected for isotopes with strongly deformed and easily excited cores. In general, the results from microscopic model are not very sensitive to model assumptions and can be used to predict unknown astrophysically relevant cross sections using known information about mirror systems.

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Section: Unbound Mirror Pairsmentioning

confidence: 98%

“…We will show that all the five remainder terms in Eq. (18) are small compared with either −h 2 /2µA 0 (a)C (1)…”

Section: Bound Mirror Pairsmentioning

confidence: 99%

Isospin symmetry in mirror α decays

2007

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“…Refined values were later published by Fortune [21], see Table 1. Canton et al [26] objected that θ 2 do not necessary scale with the single-particle widths, especially when the θ 2 is small [27].…”

Section: Status Of 15 Fmentioning

confidence: 99%

An above-barrier narrow resonance in 15 F

et al. 2016

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Intense and purified radioactive beam of post-accelerated 14 O was used to study the low-lying states in the unbound 15 F nucleus. Exploiting resonant elastic scattering in inverse kinematics with a thick target, the second excited state, a resonance at E R =4.757(6)(10) MeV with a width of Γ=36(5)(14) keV was measured for the first time with high precision. The structure of this narrow above-barrier state in a nucleus located two neutrons beyond the proton drip line was investigated using the Gamow Shell Model in the coupled channel representation with a 12 C core and three valence protons. It is found that it is an almost pure wave function of two quasi-bound protons in the 2s 1/2 shell.

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“…Equation (3) is typically fulfilled for states with a strong α-cluster component in the wave function (i.e., for a large value of θ 2 α ), whereas significant discrepancies have been found for mirror states with very small θ 2 α values [20]. Here we follow the procedure for estimating Γ α in 22 Mg that was outlined in Ref.…”

Section: Determination Of Resonance Strengthsmentioning

confidence: 99%

Thermonuclear reaction rate ofNe18(α,p)Na21
Mohr¹,
Longland²,
Iliadis³
2014
Phys. Rev. C
Self Cite
26
18
93
2
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The18 Ne(α,p) 21 Na reaction impacts the break-out from the hot CNO-cycles to the rp-process in type I X-ray bursts. We present a revised thermonuclear reaction rate, which is based on the latest experimental data. The new rate is derived from Monte-Carlo calculations, taking into account the uncertainties of all nuclear physics input quantities. In addition, we present the reaction rate uncertainty and probability density versus temperature. Our results are also consistent with estimates obtained using different indirect approaches.PACS numbers: 25.60.-t,25.55.-e,26.30.-k I. INTRODUCTIONThere has been much interest recently in the thermonuclear rate of the 18 Ne(α,p) 21 Na reaction at temperatures of type I X-ray bursts [1,2]. Because of the high temperatures of several Giga-Kelvin (in usual notation: T 9 ≈ 1 − 2), the reaction rate is essentially defined by the cross section at energies between 1 and 3 MeV. This corresponds to excitation energies of E * ≈ 9 − 11 MeV in the compound nucleus 22 Mg. The latest studies have focused on indirect determinations of the 18 Ne(α,p) 21 Na reaction rate. Matic et al.[3] obtained excitation energies, E * , of many levels in the 22 Mg compound nucleus by measuring the 24 Mg(p,t) 22 Mg reaction. These energies define the resonance energies, E, in the 18 Ne(α,p) 21 Na reaction, which enter exponentially into the expression for the reaction rate and are thus the most important ingredient. From the same experiment, total widths Γ of these states were derived [4]. In addition, spins and parities, J π , of several states in 22 Mg have been measured recently by resonant proton scattering using the 21 Na(p,p) 21 Na reaction in inverse kinematics [5,6]. Furthermore, the reverse 21 Na (p,α) 18 Ne reaction has been used in two independent experiments [7,8] to determine a lower limit of the forward 18 Ne(α,p) 21 Na reaction cross section. Mohr and Matic [4] found a dramatic disagreement between the earlier forward 18 Ne(α,p) 21 Na reaction data obtained by Groombridge et al. [9] and the reverse reaction data [7,8]. Consequently, the data of Ref. [9] were excluded from the determination of the reaction rate in Ref. [4].Two different approaches have been used in Ref.[4] to determine the 18 Ne(α,p) 21 Na reaction rate from the available data. In the first approach, the experimental resonance energies from the 24 Mg(p,t) 22 Mg reaction [3], together with α-transfer data for the mirror compound nucleus 22 Ne [3], were employed for calculating * Email: WidmaierMohr@t-online.de the required resonance strengths, ωγ αp . In the second approach, the experimental reverse reaction data [7,8] were corrected for thermal target excitations by using a Hauser-Feshbach model and the forward rate was obtained using the reciprocity theorem. It was shown in Ref.[4] that the reaction rates obtained by these two methods differ by a factor of ≈3. Taking into account estimated uncertainties of a factor of ≈2 for both approaches, the geometric mean value has been recommended in Ref. [4]. The present st...

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Comparison of low-energy resonances in15N(α,γ)19F and

Cited by 37 publications

References 18 publications

Isospin symmetry in mirror α decays

Isospin symmetry in mirror α decays

An above-barrier narrow resonance in 15 F

Thermonuclear reaction rate ofNe18(α,p)Na21
Mohr¹,
Longland²,
Iliadis³
2014
Phys. Rev. C
Self Cite
26
18
93
2
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Comparison of low-energy resonances in15N(α,γ)19F and

Cited by 37 publications

References 18 publications

Isospin symmetry in mirror α decays

Isospin symmetry in mirror α decays

An above-barrier narrow resonance in 15 F

Thermonuclear reaction rate ofNe18(α,p)Na21Mohr1, Longland2, Iliadis3 2014Phys. Rev. CSelf Cite2618932View full textAdd to dashboardCite

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Thermonuclear reaction rate ofNe18(α,p)Na21
Mohr¹,
Longland²,
Iliadis³
2014
Phys. Rev. C
Self Cite
26
18
93
2
View full text Add to dashboard Cite