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

Journal Article · Sun Aug 01 00:00:00 EDT 1993 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.48.850· OSTI ID:6024989

Ma, Y G; Shen, W Q ^[1]; Feng, J ^[2]; Ma, Y Q ^[3]

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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)

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.

• OSTI ID: 6024989
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Vol. 48:2; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

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-)