A relativistic wave equation with a local kinetic operator and an energy-dependent effective interaction for the study of hadronic systems

被引：4

作者：

De Sanctis, Maurizio ^{[1
]}

机构：

[1] Univ Nacl Colombia, Bogota, Colombia

来源：

CENTRAL EUROPEAN JOURNAL OF PHYSICS | 2014年 / 12卷 / 04期

关键词：

relativistic wave equations; relativistic quark model; charmonium spectrum; DIRAC-EQUATION; SCATTERING; STATES;

D O I：

10.2478/s11534-014-0444-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study a fully relativistic, two-body, quadratic wave equation for equal mass interacting particles. With this equation the difficulties related to the use of the square roots in the kinetic energy operators are avoided. An energy-dependent effective interaction, also containing quadratic potential operators, is introduced. For pedagogical reasons, it is previously shown that a similar procedure can be also applied to the well-known case of a one-particle Dirac equation. The relationships of our model with other relativistic approaches are briefly discussed. We show that it is possible to write our equation in a covariant form in any reference frame. A generalization is performed to the case of two particles with different mass. We consider some cases of potentials for which analytic solutions can be obtained. We also study a general numerical procedure for solving our equation taking into account the energy-dependent character of the effective interaction. Hadronic physics represents the most relevant field of application of the present model. For this reason we perform, as an example, specific calculations to study the charmonium spectrum. The results show that the adopted equation is able to reproduce with good accuracy the experimental data.

引用

页码：221 / 232

页数：12

共 27 条

[1] Solution of the Dirac equation for potential interaction
Alhaidari, AD
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2003, 18 (27): : 4955 - 4973
[2] REVIEW OF PARTICLE PHYSICS Particle Data Group
Beringer, J.
Arguin, J. -F.
Barnett, R. M.
Copic, K.
Dahl, O.
Groom, D. E.
Lin, C. -J.
Lys, J.
Murayama, H.
Wohl, C. G.
Yao, W. -M.
Zyla, P. A.
Amsler, C.
Antonelli, M.
Asner, D. M.
Baer, H.
Band, H. R.
Basaglia, T.
Bauer, C. W.
Beatty, J. J.
Belousov, V. I.
Bergren, E.
Bernardi, G.
Bertl, W.
Bethke, S.
Bichsel, H.
Biebel, O.
Blucher, E.
Blusk, S.
Brooijmans, G.
Buchmueller, O.
Cahn, R. N.
Carena, M.
Ceccucci, A.
Chakraborty, D.
Chen, M. -C.
Chivukula, R. S.
Cowan, G.
D'Ambrosio, G.
Damour, T.
de Florian, D.
de Gouvea, A.
DeGrand, T.
de Jong, P.
Dissertori, G.
Dobrescu, B.
Doser, M.
Drees, M.
Edwards, D. A.
Eidelman, S.
[J]. PHYSICAL REVIEW D, 2012, 86 (01):
[3] LINEAR INTEGRAL EQUATIONS FOR RELATIVISTIC MULTICHANNEL SCATTERING
BLANKENBECLER, R
SUGAR, R
[J]. PHYSICAL REVIEW, 1966, 142 (04): : 1051 - +
[4] Charmonium States in QCD-Inspired Quark Potential Model Using Gaussian Expansion Method
Cao, Lu
Yang, You-Chang
Chen, Hong
[J]. FEW-BODY SYSTEMS, 2012, 53 (3-4) : 327 - 342
[5] Applications of two-body Dirac equations to the meson spectrum with three versus two covariant interactions, SU(3) mixing, and comparison to a quasipotential approach
Crater, Horace W.
Schiermeyer, James
[J]. PHYSICAL REVIEW D, 2010, 82 (09):
[6] de Castro A. S., ARXIV12073324V1QUANT
[7] Covariant Hamiltonian dynamics with negative-energy states
De Sanctis, M.
[J]. EUROPEAN PHYSICAL JOURNAL A, 2007, 33 (01) : 71 - 86
[8] Electromagnetic form factors in the relativistic interacting quark-diquark model of baryons
De Sanctis, M.
Ferretti, J.
Santopinto, E.
Vassallo, A.
[J]. PHYSICAL REVIEW C, 2011, 84 (05):
[9] Charmonium spectrum with a generalized Fermi-Breit equation
De Sanctis, M.
Quintero, P.
[J]. EUROPEAN PHYSICAL JOURNAL A, 2010, 46 (02) : 213 - 221
[10] A new energy-dependent quark interaction from a Tamm-Dancoff reduction of an effective field theory quark model
De Sanctis, M.
Quintero, P.
[J]. EUROPEAN PHYSICAL JOURNAL A, 2009, 39 (02) : 145 - 148

← 1 2 3 →