# Breakup fusion theory of nuclear reactions

## Abstract

Continuum spectra of particles emitted in incomplete fusion reactions are one of the major interests in current nuclear reaction studies. Based on an idea of the so-called breakup fusion (BF) reaction, several authors derived closed formulas for the singles cross section of the particles that are emitted. There have been presented, however, two conflicting cross section formulas for the same BF reaction. For convenience, we shall call one of them the IAV (Ichimura, Austern and Vincent) and the other UT (Udagawa and Tamura) cross section formulas. In this work, the formulation of the UT cross section formula (prior-form) is presented, and the post-form version of the IAV cross section formula is evaluted for a few {alpha}- and d-induced reactions based on the exact finite range method. It is shown that the values thus calculated are larger by an order of magnitude as compared with the experimental cross sections for the {alpha}-induced reactions, while they are comparable with the experimental cross sections for the d-induced reactions. A possible origin of why such a large cross section is resulted in the case of {alpha}-induced reactions is also discussed. Polarization of the residual compound nucleus produced in breakup fusion reactions are calculated andmore »

- Authors:

- Publication Date:

- Research Org.:
- Texas Univ., Austin, TX (USA)

- OSTI Identifier:
- 5118384

- Resource Type:
- Thesis/Dissertation

- Resource Relation:
- Other Information: Thesis (Ph. D.)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; INCOMPLETE FUSION REACTIONS; BREAKUP REACTIONS; CALCULATION METHODS; CROSS SECTIONS; DATA ANALYSIS; MATHEMATICAL MODELS; NUCLEAR REACTIONS; 700000* - Fusion Energy; 700100 - Fusion Energy- Plasma Research

### Citation Formats

```
Mastroleo, R.C..
```*Breakup fusion theory of nuclear reactions*. United States: N. p., 1987.
Web.

```
Mastroleo, R.C..
```*Breakup fusion theory of nuclear reactions*. United States.

```
Mastroleo, R.C.. Thu .
"Breakup fusion theory of nuclear reactions". United States.
```

```
@article{osti_5118384,
```

title = {Breakup fusion theory of nuclear reactions},

author = {Mastroleo, R.C.},

abstractNote = {Continuum spectra of particles emitted in incomplete fusion reactions are one of the major interests in current nuclear reaction studies. Based on an idea of the so-called breakup fusion (BF) reaction, several authors derived closed formulas for the singles cross section of the particles that are emitted. There have been presented, however, two conflicting cross section formulas for the same BF reaction. For convenience, we shall call one of them the IAV (Ichimura, Austern and Vincent) and the other UT (Udagawa and Tamura) cross section formulas. In this work, the formulation of the UT cross section formula (prior-form) is presented, and the post-form version of the IAV cross section formula is evaluted for a few {alpha}- and d-induced reactions based on the exact finite range method. It is shown that the values thus calculated are larger by an order of magnitude as compared with the experimental cross sections for the {alpha}-induced reactions, while they are comparable with the experimental cross sections for the d-induced reactions. A possible origin of why such a large cross section is resulted in the case of {alpha}-induced reactions is also discussed. Polarization of the residual compound nucleus produced in breakup fusion reactions are calculated and compared with experiments. It is shown that the polarization is rather sensitive to the deflection angles of the strongly absortive partial waves and to obtain a good fit with the experimental data a l-dependent potential in the incident channel is needed in order to stress the lower partial waves.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Thu Jan 01 00:00:00 EST 1987},

month = {Thu Jan 01 00:00:00 EST 1987}

}