06-18-2019, 08:15 PM

An extract from Some Calculator Programs for Particle Physics, U.S.DoE, UoC (Lawrence Berkeley Laboratory), LBL--13987, January 1982 (27 pgs.)

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The write-up for each program tells what the program does and how to run it, discusses any limitations or special cases or pitfalls, and gives an example or two to test that the program is stored properly and that its operation is understood. The examples have all been rechecked from the final typescript on an HP-97 …

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LEGENDRE

The LEGENDRE program calculates the values of the Legendre polynomial series …

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ASSOCIATED LEGENDRE

The ASSOCIATED LEGENDRE program calculates the values of the first-associated Legendre polynomial series …

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CONFIDENCE and EVEN N and POISSON

The CONFIDENCE program calculates confidence levels for the x 2 probability distribution with N degrees of freedom. The calculation is much shorter when N is even than when it is odd, so there is a short program, EVEN N, for that case (CONFIDENCE handles any N ). CONFIDENCE may also be used to get confidence levels for the Gaussian (or normal) and the Poisson probability distributions, but for the Poisson case there is a much shorter program, POISSON …

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TWO BODY and CM

In the 2-body reaction a + b → 1 + 2, let m(i) be the mass of particle i and let P be the momentum of particle a in the inertial frame in which particle b is at rest (the lab frame). The four masses and P are the input data for the TWO BODY program …

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Program: ELLIPSE …

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DALITZ RECTANGULAR

The DALITZ RECTANGULAR program calculates coordinates of points on the boundary of the rectangular Dalitz plot for the decay of a particle or system of mass M into three particles having masses …

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DALITZ TRIANGULAR

The DALITZ TRIANGULAR program calculates coordinates of points on the boundary of the normalized triangular Dalitz plot for the decay of a particle or system of mass M into three particles having masses …

BEST!

SlideRule

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The write-up for each program tells what the program does and how to run it, discusses any limitations or special cases or pitfalls, and gives an example or two to test that the program is stored properly and that its operation is understood. The examples have all been rechecked from the final typescript on an HP-97 …

…

LEGENDRE

The LEGENDRE program calculates the values of the Legendre polynomial series …

…

ASSOCIATED LEGENDRE

The ASSOCIATED LEGENDRE program calculates the values of the first-associated Legendre polynomial series …

…

CONFIDENCE and EVEN N and POISSON

The CONFIDENCE program calculates confidence levels for the x 2 probability distribution with N degrees of freedom. The calculation is much shorter when N is even than when it is odd, so there is a short program, EVEN N, for that case (CONFIDENCE handles any N ). CONFIDENCE may also be used to get confidence levels for the Gaussian (or normal) and the Poisson probability distributions, but for the Poisson case there is a much shorter program, POISSON …

…

TWO BODY and CM

In the 2-body reaction a + b → 1 + 2, let m(i) be the mass of particle i and let P be the momentum of particle a in the inertial frame in which particle b is at rest (the lab frame). The four masses and P are the input data for the TWO BODY program …

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Program: ELLIPSE …

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DALITZ RECTANGULAR

The DALITZ RECTANGULAR program calculates coordinates of points on the boundary of the rectangular Dalitz plot for the decay of a particle or system of mass M into three particles having masses …

…

DALITZ TRIANGULAR

The DALITZ TRIANGULAR program calculates coordinates of points on the boundary of the normalized triangular Dalitz plot for the decay of a particle or system of mass M into three particles having masses …

BEST!

SlideRule