# Influence of the three-body coulomb effects on the values of asymptotic normalization coefficients (nuclear vertex constants) of astrophysical interest extracted from the modified DWBA approach for the peripheral proton-transfer reactions

## Abstract

From the exact three-body distorted wave amplitude obtained by other authors for the one-charged-particle-transfer reaction A(x, y)B within the strict three-body (x = y + a and B = A + a, where a is a transferred particle) model, its part is separated in which the three-body Coulomb dynamics of the transfer mechanism is taken into account correctly. The contribution of the three-body Coulomb dynamics of the transfer mechanism to the partial wave amplitudes at l >> 1 for the peripheral proton-transfer reactions {sup 13}C({sup 3}He, d){sup 14}N, {sup 13}C({sup 14}N, {sup 13}C){sup 14}N, and {sup 9}Be({sup 10}B, {sup 9}Be){sup 10}B is estimated within the three-body approach combining the dispersion method and the DWBA approach. For these reactions, the Coulomb renormalization factors, arising owing to correctly taking into account the three-body Coulomb dynamics of the proton-transfer mechanism in the DWBA cross sections, are calculated. A new estimate is obtained for the values of the asymptotic normalization factors for p + {sup 13}C {sup {yields}} {sup 14}N, which also have astrophysical interest.

- Authors:

- Publication Date:

- OSTI Identifier:
- 21077600

- Resource Type:
- Journal Article

- Journal Name:
- Physics of Atomic Nuclei

- Additional Journal Information:
- Journal Volume: 70; Journal Issue: 10; Other Information: DOI: 10.1134/S1063778807100031; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Ltd; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7788

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; AMPLITUDES; ASTROPHYSICS; BERYLLIUM 9; BORON 10; CARBON 13; COULOMB FIELD; CROSS SECTIONS; DISPERSIONS; DISTORTED WAVE THEORY; DWBA; HELIUM 3; ION-ATOM COLLISIONS; NITROGEN 14; PARTIAL WAVES; PARTICLE MODELS; PERIPHERAL COLLISIONS; PROTONS; RENORMALIZATION; THREE-BODY PROBLEM; TRANSFER REACTIONS

### Citation Formats

```
Igamov, S B, Nadirbekov, M S, and Yarmukhamedov, R.
```*Influence of the three-body coulomb effects on the values of asymptotic normalization coefficients (nuclear vertex constants) of astrophysical interest extracted from the modified DWBA approach for the peripheral proton-transfer reactions*. United States: N. p., 2007.
Web. doi:10.1134/S1063778807100031.

```
Igamov, S B, Nadirbekov, M S, & Yarmukhamedov, R.
```*Influence of the three-body coulomb effects on the values of asymptotic normalization coefficients (nuclear vertex constants) of astrophysical interest extracted from the modified DWBA approach for the peripheral proton-transfer reactions*. United States. https://doi.org/10.1134/S1063778807100031

```
Igamov, S B, Nadirbekov, M S, and Yarmukhamedov, R. Mon .
"Influence of the three-body coulomb effects on the values of asymptotic normalization coefficients (nuclear vertex constants) of astrophysical interest extracted from the modified DWBA approach for the peripheral proton-transfer reactions". United States. https://doi.org/10.1134/S1063778807100031.
```

```
@article{osti_21077600,
```

title = {Influence of the three-body coulomb effects on the values of asymptotic normalization coefficients (nuclear vertex constants) of astrophysical interest extracted from the modified DWBA approach for the peripheral proton-transfer reactions},

author = {Igamov, S B and Nadirbekov, M S and Yarmukhamedov, R.},

abstractNote = {From the exact three-body distorted wave amplitude obtained by other authors for the one-charged-particle-transfer reaction A(x, y)B within the strict three-body (x = y + a and B = A + a, where a is a transferred particle) model, its part is separated in which the three-body Coulomb dynamics of the transfer mechanism is taken into account correctly. The contribution of the three-body Coulomb dynamics of the transfer mechanism to the partial wave amplitudes at l >> 1 for the peripheral proton-transfer reactions {sup 13}C({sup 3}He, d){sup 14}N, {sup 13}C({sup 14}N, {sup 13}C){sup 14}N, and {sup 9}Be({sup 10}B, {sup 9}Be){sup 10}B is estimated within the three-body approach combining the dispersion method and the DWBA approach. For these reactions, the Coulomb renormalization factors, arising owing to correctly taking into account the three-body Coulomb dynamics of the proton-transfer mechanism in the DWBA cross sections, are calculated. A new estimate is obtained for the values of the asymptotic normalization factors for p + {sup 13}C {sup {yields}} {sup 14}N, which also have astrophysical interest.},

doi = {10.1134/S1063778807100031},

url = {https://www.osti.gov/biblio/21077600},
journal = {Physics of Atomic Nuclei},

issn = {1063-7788},

number = 10,

volume = 70,

place = {United States},

year = {2007},

month = {10}

}