Magnetic moments of heavy barions in the bag model reexamined

Abstract

Magnetic moments of J = 1 2 and J = 3 2 heavy baryons are calculated in the bag model with center-of-mass motion corrections. For the spin 1 2 baryons containing three quarks of different flavours the effect of hyperfine mixing is examined in detail. The results of the work are compared with predictions obtained in various other approaches and models.

Feasibility of measuring the magnetic dipole moments of the charm baryons at the LHC using bent crystals

“…There has been many calculations of the MDM of the charm baryons in various models of their structure [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. As for the Λ + c baryon, majority of the calculations predict the MDM and g-factor in the ranges Thus, an experimental study of the MDM of heavy baryons can be useful to distinguish between different theoretical approaches.…”

New possibilities of harmonic oscillator basis application for calculation of the ground state energy of a Coulomb non-identical three-particle system

“…The matrix of this Hamiltonian is calculated in the basis (8), truncated by a chosen maximal number of excitation HO quanta N max . Therefore, this minimum of the lowest eigenvalue with respect to nonlinear parameters obtained for each fixed N max will be called the ground state energy and denoted thereafter as E max .…”

“…The same transformation to the new Jacobi coordinates should also be performed for the coupled three-particle HO functions (8) in the matrix elements of the two-body Coulomb operators. In the case of orthogonal transformations such a type of transition between wave functions may be accomplished by means of Talmi-Moshinsky brackets [22] (14) where ε i and σ i are the oscillator quanta and angular momentum quantum numbers for the ith Jacobi coordinate → y i , and i = 0,1.…”

“…The last relation contains the parity π of the coupled three-particle HO function (8), and the parameter N max that measures the maximal allowed HO excitation energy (the model space truncation parameter). In the computation of the Hamiltonian matrix we always consider all the basis states with a number of quanta less or equal to the given number N max (Ση i ≤ N max and Σε i ≤ N max ).…”

“…The principle of translational invariance is particularly important for an adequate theoretical formalism. For example, the bag model with the centre-ofmass motion corrections that are taken into account can provide sufficiently good predictions for magnetic moments of baryons [8].…”