1985
DOI: 10.1007/bf01412089
|View full text |Cite
|
Sign up to set email alerts
|

The physical and mathematical foundations of the intranuclear cascade model algorithm

Abstract: The physical and mathematical approximations underlying the intranuclear cascade model (INC) algorithm are considered here. The INC algorithm is shown to be a version of Monte-Carlo calculations for multiple integrals which provide the solutions of the system of coupled equations for many-body distribution functions. The conditions under which these equations are derived from the Schr6dinger many-body equations are analysed, with special emphasis on the finite size of the nuclear system.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

1
12
0

Year Published

1993
1993
2019
2019

Publication Types

Select...
7
1

Relationship

0
8

Authors

Journals

citations
Cited by 17 publications
(13 citation statements)
references
References 14 publications
1
12
0
Order By: Relevance
“…In this context it is assumed that the first stage of the reaction can be described as an avalanche of independent binary collisions. The INC scheme can be derived from the usual nuclear transport equations under suitable approximations [9,10] and its numerical solution can be efficiently tackled on today's computers. The INC model is essentially classical, with the addition of a few suitable ingredients that mimic genuine quantum-mechanical features of the initial conditions and of the dynamics: For instance, target nucleons are endowed with Fermi motion, realistic space densities are used, the output of binary collisions is random, and elementary nucleon-nucleon collisions are subject to Pauli blocking.…”
Section: A Model Descriptionmentioning
confidence: 99%
“…In this context it is assumed that the first stage of the reaction can be described as an avalanche of independent binary collisions. The INC scheme can be derived from the usual nuclear transport equations under suitable approximations [9,10] and its numerical solution can be efficiently tackled on today's computers. The INC model is essentially classical, with the addition of a few suitable ingredients that mimic genuine quantum-mechanical features of the initial conditions and of the dynamics: For instance, target nucleons are endowed with Fermi motion, realistic space densities are used, the output of binary collisions is random, and elementary nucleon-nucleon collisions are subject to Pauli blocking.…”
Section: A Model Descriptionmentioning
confidence: 99%
“…Above some 100 MeV incident energy, the nucleon-nucleus reaction dynamics can be described as a sequence of independent nucleon-nucleon interactions taking place in a common mean-field potential [14,15]. This approximation gives rise to the intranuclear-cascade (INC) class of models, which help shed some light on the reaction mechanism and have proven predictive even below their nominal low-energy limit of validity.…”
Section: Introductionmentioning
confidence: 99%
“…It is then tempting to solve this equation by simulations. This is an exact method for the drift term and it has been shown that the INC procedure provides an exact handling of the collision term, for the average (over events) one-body distribution [21,22]. One has, however, to keep in mind that the INC model is doing more than solving Eq.…”
Section: The Theoretical Foundations Of the Inc Modelmentioning
confidence: 99%
“…Unfortunately, there is no theoretical indication on how to separate large and small momentum transfer effects (see, however, an interesting discussion in Ref. [21]). In INCL4, soft collisions, defined by a maximum c.m.…”
Section: A Priori Conditions Of Validitymentioning
confidence: 99%