Continuous analog of Newton method in the multichannel scattering problem
Journal Article
·
· J. Comput. Phys.; (United States)
A method is presented for a numerical solution of the multichannel scattering problem with a large number of closed channels (--300). The scattering problem is reduced to a nonlinear functional equation which is subsequently solved using the continuous analog of Newton method. The efficiency of the approach is demonstrated by solving the one-channel scattering problem for which an analytic solution exists and a multichannel problem arising in the consideration of inelastic collisions in a three-body system. In particular, the scattering cross sections of tritium mesic atoms in the singlet and triplet states of the hyperfine structure including the spin-flip cross sections are calculated.
- Research Organization:
- Joint Institute of Nuclear Research, Moscow, Head P. O. Box 79, Dubna, USSR
- OSTI ID:
- 5522100
- Journal Information:
- J. Comput. Phys.; (United States), Journal Name: J. Comput. Phys.; (United States) Vol. 65:1; ISSN JCTPA
- Country of Publication:
- United States
- Language:
- English
Similar Records
Continuous analog of Newton's method as applied to the calculation of the binding energy of mesic molecules
Continuous analog of Newton's method for the calculation of quasibound states of hydrogen. mu. -molecules
Elastic scattering in a three-particle system with Coulomb interaction
Journal Article
·
Sat Sep 01 00:00:00 EDT 1973
· Journal of Computational Physics
·
OSTI ID:4400406
Continuous analog of Newton's method for the calculation of quasibound states of hydrogen. mu. -molecules
Journal Article
·
Wed Sep 01 00:00:00 EDT 1976
· J. Comput. Phys.; (United States)
·
OSTI ID:7281741
Elastic scattering in a three-particle system with Coulomb interaction
Journal Article
·
Mon Aug 01 00:00:00 EDT 1983
· Sov. Phys. - JETP (Engl. Transl.); (United States)
·
OSTI ID:6718735
Related Subjects
640303 -- Atomic
Molecular & Chemical Physics-- Positronium
Muonium
& Muonic & Mesic Atoms & Molecules
640304* -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ALGORITHMS
ATOMS
BETA DECAY RADIOISOTOPES
BETA-MINUS DECAY RADIOISOTOPES
BOUNDARY CONDITIONS
CROSS SECTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
HYDROGEN ISOTOPES
INELASTIC SCATTERING
ISOTOPES
ITERATIVE METHODS
LIGHT NUCLEI
MANY-BODY PROBLEM
MATHEMATICAL LOGIC
MATRICES
MUONIC ATOMS
NEWTON METHOD
NUCLEI
ODD-EVEN NUCLEI
PARTIAL DIFFERENTIAL EQUATIONS
RADIOISOTOPES
S MATRIX
SCATTERING
SCHROEDINGER EQUATION
SPIN FLIP
THREE-BODY PROBLEM
TRITIUM
WAVE EQUATIONS
YEARS LIVING RADIOISOTOPES
Molecular & Chemical Physics-- Positronium
Muonium
& Muonic & Mesic Atoms & Molecules
640304* -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ALGORITHMS
ATOMS
BETA DECAY RADIOISOTOPES
BETA-MINUS DECAY RADIOISOTOPES
BOUNDARY CONDITIONS
CROSS SECTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
HYDROGEN ISOTOPES
INELASTIC SCATTERING
ISOTOPES
ITERATIVE METHODS
LIGHT NUCLEI
MANY-BODY PROBLEM
MATHEMATICAL LOGIC
MATRICES
MUONIC ATOMS
NEWTON METHOD
NUCLEI
ODD-EVEN NUCLEI
PARTIAL DIFFERENTIAL EQUATIONS
RADIOISOTOPES
S MATRIX
SCATTERING
SCHROEDINGER EQUATION
SPIN FLIP
THREE-BODY PROBLEM
TRITIUM
WAVE EQUATIONS
YEARS LIVING RADIOISOTOPES