37,082 research outputs found
The N N -> NN pi+ Reaction near Threshold in a Chiral Power Counting Approach
Power-counting arguments are used to organize the interactions contributing
to the N N -> d pi, p n pi reactions near threshold. We estimate the
contributions from the three formally leading mechanisms: the Weinberg-Tomozawa
(WT) term, the impulse term, and the -excitation mechanism. Sub-leading
but potentially large mechanisms, including -wave pion-rescattering, the
Galilean correction to the WT term, and short-ranged contributions are also
examined. The WT term is shown to be numerically the largest, and the other
contributions are found to approximately cancel. Similarly to the reaction p p
-> p p pi0, the computed cross sections are considerably smaller than the data.
We discuss possible origins of this discrepancy.Comment: 31 pages, 17 figure
Nucleon-nucleon charge symmetry breaking and the dd -> alpha pi0 reaction
We show that using parameters consistent with the charge symmetry violating
difference between the strong nn and pp scattering lengths provides significant
constraints on the amplitude for the dd -> alpha pi0 reaction.Comment: 4 pages, 1 figur
Nucleon-Deuteron Scattering from an Effective Field Theory
We use an effective field theory to compute low-energy nucleon-deuteron
scattering. We obtain the quartet scattering length using low energy constants
entirely determined from low-energy nucleon-nucleon scattering. We find
fm, to be compared to fm.Comment: 8 pages, Latex, epsfig, figures include
Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs
Algorithms are presented for the tanh- and sech-methods, which lead to
closed-form solutions of nonlinear ordinary and partial differential equations
(ODEs and PDEs). New algorithms are given to find exact polynomial solutions of
ODEs and PDEs in terms of Jacobi's elliptic functions.
For systems with parameters, the algorithms determine the conditions on the
parameters so that the differential equations admit polynomial solutions in
tanh, sech, combinations thereof, Jacobi's sn or cn functions. Examples
illustrate key steps of the algorithms.
The new algorithms are implemented in Mathematica. The package
DDESpecialSolutions.m can be used to automatically compute new special
solutions of nonlinear PDEs. Use of the package, implementation issues, scope,
limitations, and future extensions of the software are addressed.
A survey is given of related algorithms and symbolic software to compute
exact solutions of nonlinear differential equations.Comment: 39 pages. Software available from Willy Hereman's home page at
http://www.mines.edu/fs_home/whereman
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