Schematic SO(4) model for the description of hadrons
Por:
Ramirez-Soto, I, U., Rico-Trejo, O. A., Yepez-Martinez, T., Hess, P. O., Weber, A., Civitarese, O.
Publicada:
1 ago 2021
Categoría:
Nuclear and high energy physics
Resumen:
An algebraic model is proposed which simulates the strong interaction
between quarks, for the description of hadron states. The model is based
on the SO(4)-group. The effects of the long-range quark-quark
interactions, like zero-color confined states, symmetries and energy
dependence, required for a correct description of hadrons at low energy,
are considered through the assignment of SO(4)-quantum numbers to the
hadron states. A simpler version of this model was used earlier to
illustrate the relevance of many-body methods implemented for
pseudo-scalar and vector meson-like states, particularly the low energy
portion of the pion spectrum. In this work an algebraic Hamiltonian is
proposed, its spectrum is calculated for several meson quantum numbers
J(P) = 0(+/-), 1(+/-), 2(+/-), as well as baryon quantum numbers J(P) =
1/2(+/-), 3/2(+/-), 5/2(+/-), 7/2(+/-) and compared to data. Our purpose
is to investigate how adequate is this model when applied to the
description of several characteristics of the hadron spectrum, like the
observed masses, density of states and sequences of spin and parity.
Filiaciones:
Rico-Trejo, O. A.:
I , Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, AP 70-543, Mexico City 04510, DF, Mexico
Yepez-Martinez, T.:
Univ Autonoma Ciudad Mexico, Prolongac San Isidro 151, Ciudad De Mexico 09790, Mexico
Inst Educ Media Super, Calle Rosario S-N Esq Av Hidalgo Pueblo Santa Cat, Ciudad De Mexico 02250, Mexico
Hess, P. O.:
I , Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, AP 70-543, Mexico City 04510, DF, Mexico
Goethe Univ Frankfurt, Frankfurt Inst Adv Studies, Ruth Moufang Str 1, D-60438 Frankfurt, Germany
Weber, A.:
Univ Michoacana, Inst Fis & Matemat, Edificio C-3,Ciudad Univ,Apartado Postal 2-82, Morelia 58040, Michoacan, Mexico
Civitarese, O.:
(Corresponding Author), Univ Nacl La Plata, Dept Fis, CC 67, RA-1900 La Plata, Argentina
Univ Nacl La Plata, Dept Fis, CC 67, RA-1900 La Plata, Argentina
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