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Manuscript Title: The Bethe-Salpeter equation for mesons as quark-anti-quark bound states in a soliton background.
Authors: H. Weigel, R. Alkofer
Program title: bpwave
Catalogue identifier: ACVC_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 82(1994)57
Programming language: Fortran.
Computer: SUN-SPARC.
Operating system: UNIX.
RAM: 6850K words
Peripherals: disc.
Keywords: Particle physics, Elementary, Empirical model, Nambu-jona-lasinio model, Chiral soliton, P-wave kaon fluctuation, Bethe-salpeter equation, Bilocal kernel, Bound state, Strangeness, Hyperons.
Classification: 11.6.

Subprograms used:
Cat Id Title Reference
ACVA_v1_0 chisol CPC 82(1994)30

Nature of problem:
The program calculates the bound state energy of a P-wave kaon fluctuation in the background field of the chiral soliton in the Nambu- Jona-Lasinio model [1]. Also the bound state wave-function is evaluated and normalized to carry unit strangeness charge [2].

Solution method:
The bilocal kernel of the Bethe-Salpeter equation is discretized and extended to an eigenvalue problem. The bound state energy is identified as the one which leads to at least one vanishing eigenvalue. The corresponding eigenvector is identified as the bound state wave- function.

Restrictions:
The program is confined to strange P-wave fluctuations in the soliton background. Generalizations are possible without changing the structure of the program.

Unusual features:
The progrAM needs two input file ("chi.in" and "VEC.DAT") created by the numerical routine "chisol" described in [3].

Running time:
The running time strongly depends on the size of the momentum space basis as well as the number of lattice points. Furthermore the desired accuracy of the solution plays an important role. Typical parameters approximately yield 250 min (SUN), 310 min (DEC), 140 min (HP) cpu-time.

References:
[1] H. Weigel, H. Reinhardt and R. Alkofer, Phys. Lett. B313 (1993)377.
[2] H. Weigel, R. Alkofer and H. Reinhardt, "Hyperons in the bound state approach to the Nambu-Jona-Lasinio chiral soliton", Tubingen preprint Oct. 93, HEP-PH/9310309.
[3] R. Alkofer and H. Weigel, "Self-consistent solution to a fermion determinant with space dependent fields", UNITU-THEP-1/1994. Submitted to Computer Physics Communications.