# 7Be(p,(gamma))8B S-factor from Ab Initio No-Core Shell Model Wave Functions

## Abstract

Nuclear structure of {sup 7}Be, {sup 8}B and {sup 7,8}Li is studied within the ab initio no-core shell model (NCSM). Starting from high-precision nucleon-nucleon (NN) interactions, wave functions of {sup 7}Be and {sup 8}B bound states are obtained in basis spaces up to 10 h bar{Omega} and used to calculate channel cluster form factors (overlap integrals) of the {sup 8}B ground state with {sup 7}Be+p. Due to the use of the harmonic oscillator (HO) basis, the overlap integrals have incorrect asymptotic properties. We fix this problem in two alternative ways. First, by a Woods-Saxon (WS) potential solution fit to the interior of the NCSM overlap integrals. Second, by a direct matching with the Whittaker function. The corrected overlap integrals are then used for the {sup 7}Be(p,{gamma}){sup 8}B S-factor calculation. We study the convergence of the S-factor with respect to the NCSM HO frequency and the model space size. Our S-factor results are in agreement with recent direct measurement data. We also test the spectroscopic factors and the corrected overlap integrals from the NCSM in describing the momentum distributions in knockout reactions with {sup 8}B projectiles. A good agreement with the available experimental data is also found, attesting the overall consistencymore »

- Authors:

- Publication Date:

- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 894781

- Report Number(s):
- UCRL-JRNL-217766

TRN: US0700300

- DOE Contract Number:
- W-7405-ENG-48

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review C, vol. 73, N/A, June 16, 2006, pp. 065801

- Additional Journal Information:
- Journal Name: Physical Review C, vol. 73, N/A, June 16, 2006, pp. 065801

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; BOUND STATE; CONVERGENCE; FORM FACTORS; GROUND STATES; HARMONIC OSCILLATORS; NUCLEAR STRUCTURE; PROJECTILES; SHELL MODELS; SPECTROSCOPIC FACTORS; WAVE FUNCTIONS

### Citation Formats

```
Navratil, P, Bertulani, C A, and Caurier, E.
```*7Be(p,(gamma))8B S-factor from Ab Initio No-Core Shell Model Wave Functions*. United States: N. p., 2005.
Web.

```
Navratil, P, Bertulani, C A, & Caurier, E.
```*7Be(p,(gamma))8B S-factor from Ab Initio No-Core Shell Model Wave Functions*. United States.

```
Navratil, P, Bertulani, C A, and Caurier, E. Fri .
"7Be(p,(gamma))8B S-factor from Ab Initio No-Core Shell Model Wave Functions". United States. https://www.osti.gov/servlets/purl/894781.
```

```
@article{osti_894781,
```

title = {7Be(p,(gamma))8B S-factor from Ab Initio No-Core Shell Model Wave Functions},

author = {Navratil, P and Bertulani, C A and Caurier, E},

abstractNote = {Nuclear structure of {sup 7}Be, {sup 8}B and {sup 7,8}Li is studied within the ab initio no-core shell model (NCSM). Starting from high-precision nucleon-nucleon (NN) interactions, wave functions of {sup 7}Be and {sup 8}B bound states are obtained in basis spaces up to 10 h bar{Omega} and used to calculate channel cluster form factors (overlap integrals) of the {sup 8}B ground state with {sup 7}Be+p. Due to the use of the harmonic oscillator (HO) basis, the overlap integrals have incorrect asymptotic properties. We fix this problem in two alternative ways. First, by a Woods-Saxon (WS) potential solution fit to the interior of the NCSM overlap integrals. Second, by a direct matching with the Whittaker function. The corrected overlap integrals are then used for the {sup 7}Be(p,{gamma}){sup 8}B S-factor calculation. We study the convergence of the S-factor with respect to the NCSM HO frequency and the model space size. Our S-factor results are in agreement with recent direct measurement data. We also test the spectroscopic factors and the corrected overlap integrals from the NCSM in describing the momentum distributions in knockout reactions with {sup 8}B projectiles. A good agreement with the available experimental data is also found, attesting the overall consistency of the calculations.},

doi = {},

url = {https://www.osti.gov/biblio/894781},
journal = {Physical Review C, vol. 73, N/A, June 16, 2006, pp. 065801},

number = ,

volume = ,

place = {United States},

year = {2005},

month = {12}

}