Proton-separation vertex constants for sd-shell nuclei from an analysis of peripheral transfer reactions

Artemov, S. V.; Zaparov, E. A.; Kayumov, M. A.; Nie, G. K.

doi:10.1134/1.1320146

Cited by 11 publications

(23 citation statements)

References 24 publications

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“…Among other cases of astrophysical interest is the 27 P reactions, involving proton-rich radioactive nuclei, could be calculated through the mirror neutron ANC's which can be determined using stable targets 22 Ne and 26 Mg. These reaction are relevant to the nucleosynthesis in novae and are being intensively investigated.…”

Section: Overlap Mirror Overlap J Gpt V1 B1 M3y(e) M3y(r) M3y(p) M3y(mentioning

confidence: 99%

Relation between Proton and Neutron Asymptotic Normalization Coefficients for Light Mirror Nuclei and its Relevance to Nuclear Astrophysics

2003

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We show how the charge symmetry of strong interactions can be used to relate the proton and neutron asymptotic normalization coefficients (ANCs) of the one nucleon overlap integrals for light mirror nuclei. This relation extends to the case of real proton decay where the mirror analog is a virtual neutron decay of a loosely bound state. In this case, a link is obtained between the proton width and the squared ANC of the mirror neutron state. The relation between mirror overlaps can be used to study astrophysically relevant proton capture reactions based on information obtained from transfer reactions with stable beams.PACS numbers: 24.50.+g,27.20.+n,27.30.+t The astrophysical S-factor associated with the peripheral proton capture reaction B(p, γ)A at stellar energies is well known[1] to be related to the Asymptotic Normalization Coefficient (ANC) of the virtual decay A → B+p. The same ANCs play a crucial role in other peripheral processes such as transfer reactions whose cross sections are significantly higher and therefore more easily measurable than those of the direct capture processes at astrophysically relevant energies [1]. The study of ANCs of astrophysical interest is a new and rapidly developing direction in modern experimental nuclear physics [2,3]. However, in order to exploit these ideas to determine the ANCs for light proton-rich nuclei of importance to nuclear astrophysics the corresponding transfer reactions often require the use of weak radioactive beams which generally involves more difficult and less accurate experiments than are possible with stable beams. The higher intensities of stable beams means that they can be used at energies below the Coulomb barrier where the sensitivity to optical potentials, which are the main uncertainty of ANCs determined from transfer reactions, is minimised. We point out here that the ANC of the virtual neutron decay of the nucleus mirror to A, which may be susceptible to study with stable beams, is related in a model independent way by the charge symmetry of nuclear forces to the ANC of the corresponding proton decay of A. We propose to exploit this new insight to predict peripheral reaction cross sections in stars.An asymptotic normalization coefficient (ANC) is one of the fundamental characteristics of the virtual decay of a nucleus into two clusters and is equivalent to the coupling constants in particle physics [4]. When multiplied by a trivial factor, it equals to the on-shell amplitude for the virtual decay into two clusters and it determines the large distance behaviour of the projection of the bound state wave function of the nucleus onto a binary channel.In earlier work [5,6], the ANCs for the one-nucleon virtual decays of the mirror pairs 8 B − 8 Li and 12 N − 12 B were studied in a microscopic approach. The calculated ANCs themselves depended strongly on the choice of the nucleon-nucleon (NN) force but the ratios of ANCs for mirror pairs were practically independent of the choice of the NN force. This observation is based so far entirely on the c...

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Section: Overlap Mirror Overlap J Gpt V1 B1 M3y(e) M3y(r) M3y(p) M3y(mentioning

confidence: 99%

Relation between Proton and Neutron Asymptotic Normalization Coefficients for Light Mirror Nuclei and its Relevance to Nuclear Astrophysics

2003

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“…In this case, similar to what has been proposed in [39,41,42] for an analysis of the transfer reaction cross sections, it is expedient to express the astrophysical S-factor S(E), given by Eq. (9), in terms of ANC's, C Aa;l B j B , rather than the spectroscopic factors Z Aa;l B j B .…”

Section: Modified Two-body Potential Approach To Peripheral Direct Ramentioning

confidence: 82%

Modified two-body potential approach to the peripheral direct capture astrophysical reaction and asymptotic normalization coefficients

Igamov¹,

Yarmukhamedov²

2007

Nuclear Physics A

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“…In (2), the ANC C B; j B , the single particle ANCs b B; j B (j B =1/2 and 3/2) and the parameter b d; 1/2 are unknown, whereas the values of the ANC for p + n → d (C d; 1/2 ) and λ are known [14,16,32]. Nevertheless, the value of the free parameter b d; j d can be determined by similar way as it was done in [17,18,28] as the "experimental" ANC value for p + n → d extracted from the exchange nd and pd scatterings is known with the high accuracy (C 2 d; 1/2 =0.774±0.018 fm −1 ) [14,32]. Besides, this value of the ANC is in excellent agreement with that calculated by different forms of the realistic NN potential where its value was found insensitive to the used form of the NN potential (see [14] for example).…”

Section: Introductionmentioning

confidence: 99%

“…Then, according to [27][28][29], within the modified DWBA, we can write the differential cross section in the form…”

Section: Introductionmentioning

confidence: 99%

Asymptotic normalization coefficients for Be7+p→B8 from the peripheral
Tojiboev¹,
Yarmukhamedov²,
Artemov³
et al. 2016
Phys. Rev. C
Self Cite
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5
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Proton-separation vertex constants for sd-shell nuclei from an analysis of peripheral transfer reactions

Cited by 11 publications

References 24 publications

Relation between Proton and Neutron Asymptotic Normalization Coefficients for Light Mirror Nuclei and its Relevance to Nuclear Astrophysics

Relation between Proton and Neutron Asymptotic Normalization Coefficients for Light Mirror Nuclei and its Relevance to Nuclear Astrophysics

Modified two-body potential approach to the peripheral direct capture astrophysical reaction and asymptotic normalization coefficients

Asymptotic normalization coefficients for Be7+p→B8 from the peripheral
Tojiboev¹,
Yarmukhamedov²,
Artemov³
et al. 2016
Phys. Rev. C
Self Cite
15
1
5
0
View full text Add to dashboard Cite

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Proton-separation vertex constants for sd-shell nuclei from an analysis of peripheral transfer reactions

Cited by 11 publications

References 24 publications

Relation between Proton and Neutron Asymptotic Normalization Coefficients for Light Mirror Nuclei and its Relevance to Nuclear Astrophysics

Relation between Proton and Neutron Asymptotic Normalization Coefficients for Light Mirror Nuclei and its Relevance to Nuclear Astrophysics

Modified two-body potential approach to the peripheral direct capture astrophysical reaction and asymptotic normalization coefficients

Asymptotic normalization coefficients for Be7+p→B8 from the peripheral Tojiboev1, Yarmukhamedov2, Artemov3 et al. 2016Phys. Rev. CSelf Cite15150View full textAdd to dashboardCite

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Asymptotic normalization coefficients for Be7+p→B8 from the peripheral
Tojiboev¹,
Yarmukhamedov²,
Artemov³
et al. 2016
Phys. Rev. C
Self Cite
15
1
5
0
View full text Add to dashboard Cite