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Title: Study of the total reaction cross section via the reaction dynamical model

Abstract

New calculations for the total reaction cross sections ([sigma][sub [ital R]]) are carried out within the framework of nuclear transport theory combined with the optical limit of the Glauber theory. The average nucleon-nucleon collision number is obtained based on the nuclear transport theory. The probability of nucleon-nucleon collision, which is assumed to be a Possion distribution, is calculated, and then [sigma][sub [ital R]] is calculated by using the optical limit of the Glauber theory. The calculated [sigma][sub [ital R]] are in agreement with the experimental data for reactions induced by both the stable and the exotic nuclei. In addition, the effects of some ingredients on [sigma][sub [ital R]] can be easily analyzed with the present method. Among them the effects are mainly from Pauli blocking, the nuclear equation of state, the in-medium nucleon-nucleon cross section [sigma][sub [ital N][ital N]], the effective nucleon density distribution, and the dynamics of nucleus-nucleus collisions. From the calculated energy dependence of [sigma][sub [ital R]], it is found that the total reaction cross sections are sensitive to the nuclear equation of state when the bombarding energy is below 100 MeV/nucleon and also sensitive to the in-medium nucleon-nucleon cross section in the full researched energy range. Providedmore » that the same nuclear equation of state is applicable to the reactions induced by both the stable and the exotic nuclei in the lower energy range, we seem to have that the in-medium nucleon-nucleon cross section in the exotic nuclei may be larger than in the stable nuclei.« less

Authors:
;  [1];  [2];  [3]
  1. Chinese Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080 (China) Institute of Nuclear Research, Academia Sinica, P.O. Box 800-204, Shanghai 201800 (China)
  2. Institute of Nuclear Research, Academia Sinica, P.O. Box 800-204, Shanghai 201800 (China)
  3. Chinese Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080 (China) Department of Physics, Nanjing University, Nanjing 210008 (China)
Publication Date:
OSTI Identifier:
6024989
Resource Type:
Journal Article
Journal Name:
Physical Review, C (Nuclear Physics); (United States)
Additional Journal Information:
Journal Volume: 48:2; Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; HEAVY ION REACTIONS; TOTAL CROSS SECTIONS; EQUATIONS OF STATE; GLAUBER THEORY; INTEGRAL CROSS SECTIONS; NUCLEON-NUCLEON INTERACTIONS; OPTICAL MODELS; STATISTICAL MODELS; TRANSPORT THEORY; BARYON-BARYON INTERACTIONS; CHARGED-PARTICLE REACTIONS; CROSS SECTIONS; EQUATIONS; HADRON-HADRON INTERACTIONS; INTERACTIONS; MATHEMATICAL MODELS; NUCLEAR REACTIONS; PARTICLE INTERACTIONS; 663300* - Nuclear Reactions & Scattering, General- (1992-); 663450 - Heavy-Ion-Induced Reactions & Scattering- (1992-)

Citation Formats

Ma, Y G, Shen, W Q, Feng, J, and Ma, Y Q. Study of the total reaction cross section via the reaction dynamical model. United States: N. p., 1993. Web. doi:10.1103/PhysRevC.48.850.
Ma, Y G, Shen, W Q, Feng, J, & Ma, Y Q. Study of the total reaction cross section via the reaction dynamical model. United States. https://doi.org/10.1103/PhysRevC.48.850
Ma, Y G, Shen, W Q, Feng, J, and Ma, Y Q. 1993. "Study of the total reaction cross section via the reaction dynamical model". United States. https://doi.org/10.1103/PhysRevC.48.850.
@article{osti_6024989,
title = {Study of the total reaction cross section via the reaction dynamical model},
author = {Ma, Y G and Shen, W Q and Feng, J and Ma, Y Q},
abstractNote = {New calculations for the total reaction cross sections ([sigma][sub [ital R]]) are carried out within the framework of nuclear transport theory combined with the optical limit of the Glauber theory. The average nucleon-nucleon collision number is obtained based on the nuclear transport theory. The probability of nucleon-nucleon collision, which is assumed to be a Possion distribution, is calculated, and then [sigma][sub [ital R]] is calculated by using the optical limit of the Glauber theory. The calculated [sigma][sub [ital R]] are in agreement with the experimental data for reactions induced by both the stable and the exotic nuclei. In addition, the effects of some ingredients on [sigma][sub [ital R]] can be easily analyzed with the present method. Among them the effects are mainly from Pauli blocking, the nuclear equation of state, the in-medium nucleon-nucleon cross section [sigma][sub [ital N][ital N]], the effective nucleon density distribution, and the dynamics of nucleus-nucleus collisions. From the calculated energy dependence of [sigma][sub [ital R]], it is found that the total reaction cross sections are sensitive to the nuclear equation of state when the bombarding energy is below 100 MeV/nucleon and also sensitive to the in-medium nucleon-nucleon cross section in the full researched energy range. Provided that the same nuclear equation of state is applicable to the reactions induced by both the stable and the exotic nuclei in the lower energy range, we seem to have that the in-medium nucleon-nucleon cross section in the exotic nuclei may be larger than in the stable nuclei.},
doi = {10.1103/PhysRevC.48.850},
url = {https://www.osti.gov/biblio/6024989}, journal = {Physical Review, C (Nuclear Physics); (United States)},
issn = {0556-2813},
number = ,
volume = 48:2,
place = {United States},
year = {Sun Aug 01 00:00:00 EDT 1993},
month = {Sun Aug 01 00:00:00 EDT 1993}
}