Hyperspherical harmonic formalism for tetraquarks
نویسندگان
چکیده
We present a generalization of the hyperspherical harmonic formalism to study systems made of quarks and antiquarks of the same flavor. This generalization is based on the symmetrization of the N−body wave function with respect to the symmetric group using the Barnea and Novoselsky algorithm. Our analysis shows that four-quark systems with non-exotic 2 quantum numbers may be bound independently of the quark mass. 0 and 1 states become attractive only for larger quarks masses.
منابع مشابه
State dependent effective interaction for the hyperspherical formalism
The method of effective interaction, traditionally used in the framework of an harmonic oscillator basis, is applied to the hyperspherical formalism of few–body nuclei (A = 3 ÷ 6). The separation of the hyperradial part leads to a state dependent effective potential. Undesirable features of the harmonic oscillator approach associated with the introduction of a spurious confining potential are a...
متن کاملHyperspherical harmonic study of identical-flavor four-quark systems
We present an exact method based on a hyperspherical harmonic expansion to study systems made of quarks and antiquarks of the same flavor. Our formalism reproduces and improves the results obtained with variational approaches. This analysis shows that identical-flavor four-quark systems with non-exotic 2 quantum numbers may be bound independently of the quark mass. 0 and 1 states become attract...
متن کاملState dependent effective interaction for the hyperspherical formalism with noncentral forces
The recently developed effective interaction method for the hyperspherical harmonic formalism is extended to noncentral forces. Binding energies and radii of threeand four-body nuclei are calculated with AV6 and AV14 NN potentials. Excellent results for the convergence of the expansion are found, particularly for the three-nucleon system. Due to the higher density the convergence rate is a bit ...
متن کاملMethod for Solving the Many-Body Bound State Nuclear Problem
We present a method based on hyperspherical harmonics to solve the nuclear manybody problem. It is an extension of accurate methods used for studying few-body systems to many bodies and is based on the assumption that nucleons in nuclei interact mainly via pairwise forces. This leads to a two-variable integro-differential equation which is easy to solve. Unlike methods that utilize effective in...
متن کاملIncorporation of three–nucleon force in the effective interaction hyperspherical harmonic approach
(Dated: May 3, 2004) Abstract It is shown how a bare three–nucleon force is incorporated into the formalism of the effective interaction approach for hyperspherical harmonics. As a practical example we calculate the ground state properties of 3H and 3He using the Argonne V18 nucleon–nucleon potential and the Urbana IX three–nucleon force. A very good convergence of binding energies and matter r...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006