Computer Physics Communications Program LibraryPrograms in Physics & Physical Chemistry |

[Licence| Download | New Version Template] aaud_v1_0.gz(10 Kbytes) | ||
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Manuscript Title: Recursive numerical integration of multi-particle phase space with
peripheral matrix element. | ||

Authors: P. Pirila, E. Byckling | ||

Program title: PERIPHERAL PHASE SPACE INTEGRAL | ||

Catalogue identifier: AAUD_v1_0Distribution format: gz | ||

Journal reference: Comput. Phys. Commun. 4(1972)117 | ||

Programming language: Fortran. | ||

Computer: UNIVAC 1108. | ||

Operating system: EXEC 8. | ||

RAM: 21K words | ||

Word size: 36 | ||

Keywords: Elementary, High energy, Particle physics, Phase space integral, Peripheral, Recursive integration, Cross section. | ||

Classification: 11.2. | ||

Nature of problem:The program calculates the total cross section of a multiparticle final state as a function of total energy, when the matrix element is of the form exp(a1t1 + a2t2 +...+ an-1tn-1). This cross section is proportional to the volume of peripheral phase space. | ||

Solution method:The program is based on a recursive integration formula. At each recursion step the same integrand is integrated over many different integration areas, which are two-dimensional and bounded by a hyperbola and a straight line. The two-dimensional integrals are calculated by a method based on Simpson's formula. | ||

Restrictions:Mutliplicity of the final state between 3 and 20. | ||

Running time:2 min for about 5 per cent accuracy, multiplicities 3-8 and 100 energy values. |

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