skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: [ital N][pi] decays of baryons in a relativized model

Abstract

We calculate the [ital N][pi] decay amplitudes of baryon resonances in a semirelativistic version of the [sup 3][ital P][sub 0] model of hadron decays. We use relativized wave functions for the baryons and mesons, and include an intuitive modification of the usual [sup 3][ital P][sub 0] model. Our results are in reasonable agreement with the reported amplitudes for [ital all] known nonstrange resonances, and confirm a proposed solution to the mystery of the missing'' states.

Authors:
 [1];  [2]
  1. (Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213 (United States) Continuous Electron Beam Accelerator Facility, 12000 Jefferson Avenue, Newport News, Virginia 23606 (United States))
  2. (Department of Physics, Old Dominion University, Norfolk, Virginia 23529 (United States) Continuous Electron Beam Accelerator Facility, 12000 Jefferson Avenue, Newport News, Virginia 23606 (United States))
Publication Date:
OSTI Identifier:
6786239
DOE Contract Number:
AC02-76ER03066; AC05-84ER40150
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review, D (Particles Fields); (United States); Journal Volume: 47:5
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BARYONS; HADRONIC PARTICLE DECAY; ANGULAR MOMENTUM; DECAY AMPLITUDES; MESONS; QUARK MODEL; SU-2 GROUPS; SU-3 GROUPS; WAVE FUNCTIONS; AMPLITUDES; BOSONS; COMPOSITE MODELS; DECAY; ELEMENTARY PARTICLES; FERMIONS; FUNCTIONS; HADRONS; LIE GROUPS; MATHEMATICAL MODELS; PARTICLE DECAY; PARTICLE MODELS; SU GROUPS; SYMMETRY GROUPS; TRANSITION AMPLITUDES 662360* -- Decays of Baryons-- (1992-)

Citation Formats

Capstick, S., and Roberts, W.. [ital N][pi] decays of baryons in a relativized model. United States: N. p., 1993. Web. doi:10.1103/PhysRevD.47.1994.
Capstick, S., & Roberts, W.. [ital N][pi] decays of baryons in a relativized model. United States. doi:10.1103/PhysRevD.47.1994.
Capstick, S., and Roberts, W.. 1993. "[ital N][pi] decays of baryons in a relativized model". United States. doi:10.1103/PhysRevD.47.1994.
@article{osti_6786239,
title = {[ital N][pi] decays of baryons in a relativized model},
author = {Capstick, S. and Roberts, W.},
abstractNote = {We calculate the [ital N][pi] decay amplitudes of baryon resonances in a semirelativistic version of the [sup 3][ital P][sub 0] model of hadron decays. We use relativized wave functions for the baryons and mesons, and include an intuitive modification of the usual [sup 3][ital P][sub 0] model. Our results are in reasonable agreement with the reported amplitudes for [ital all] known nonstrange resonances, and confirm a proposed solution to the mystery of the missing'' states.},
doi = {10.1103/PhysRevD.47.1994},
journal = {Physical Review, D (Particles Fields); (United States)},
number = ,
volume = 47:5,
place = {United States},
year = 1993,
month = 3
}
  • We calculate teh N pi decay amplitudes of baryon resonances ina semi-relativistic version of the 3P 0 model of hadron decays. We use relativized wave functions for the baryons and mesons, and include an intuitive modification of the usual 3P 0 model. Our results are in reasonable agreement with the reported amplitudes for all known non-strange resonances, and confirm a proposed solution to the mystery of the 'missing' states.
  • We study hadronic two-body decays of the orbitally excited, SU(6) 70-plet baryons in order to test the hypothesis that the successes of the nonrelativistic quark model have a natural explanation in the large-[ital N][sub [ital c]] limit of QCD. By working in a Hartree approximation, we isolate a specific set of operators that contribute to the observed [ital s]- and [ital d]-wave decays in leading order in 1/[ital N][sub [ital c]]. We fit our results to the current experimental decay data, and make predictions for a number of allowed but unobserved modes. Our tentative conclusion is that there is moremore » to the nonrelativistic quark model of baryons than large [ital N][sub [ital c]].« less
  • We have studied the three-quark system in a relativized version of the quark potential model with chromodynamics. With parameters consistent with those of an analogous study of the qq-bar system, we obtain a good description of the known baryons. Our model generally supports the phenomenology of nonrelativistic calculations: it naturally explains the apparent absence of spin-orbit interactions in baryons, and leads to spectra and internal compositions for the baryons which are qualitatively similar to those of the usual nonrelativistic model.
  • Using data collected in the region of the {Upsilon}(4S) resonance with the CLEO II detector operating at the Cornell Electron Storage Ring (CESR), we present the first observation of B mesons decaying into the charmed strange baryons {Xi}{sup 0}{sub c} and {Xi}{sup +}{sub c} . We find 79{plus_minus}27 {Xi}{sup 0}{sub c} and 125{plus_minus}28 {Xi}{sup +}{sub c} candidates from B decays, leading to product branching fractions of B({bar B}{r_arrow}{Xi}{sup 0}{sub c}X)B({Xi}{sup 0}{sub c}{r_arrow}{Xi}{sup {minus}}{pi}{sup +})= (0.144{plus_minus}0.048 {plus_minus}0.021) {times}10{sup {minus}3} and B({bar B}{r_arrow}{Xi}{sup +}{sub c}X)B({Xi}{sup +}{sub C}{r_arrow} {Xi}{sup {minus}}{pi}{sup +}{pi}{sup +}) =(0.453{plus_minus} 0.096{sup +0.085}{sub {minus}0.065}){times} 10{sup {minus}3} . {copyright} {ital 1997} {italmore » The American Physical Society}« less
  • Using data collected in the region of the [Upsilon](4[ital S]) resonance with the CLEO II detector operating at the Cornell Electron Storage Ring, we report on evidence for the production of [Sigma][sub [ital c]][sup ++] and [Sigma][sub [ital e]][sup 0] baryons in [ital B] decays, with [Sigma][sub [ital c]][r arrow][Lambda][sub [ital c]][sup +][pi]. This observation is based on 77[plus minus]19[Sigma][sub [ital c]][sup ++] and 76[plus minus]21[Sigma][sub [ital c]][sup 0] candidates from [ital B] decays. We find the product branching fractions [ital scrB]([ital [bar B]][r arrow][Sigma][sub [ital c]][ital X])[ital scrB]([Lambda][sub [ital c]][sup +][r arrow][ital pK][sup [minus]][pi][sup +]) for [Sigma][sub [ital c]]=[Sigma][submore » [ital c]][sup ++], [Sigma][sub [ital c]][sup 0], and [Sigma][sub [ital c]][sup +] to be (2.1[plus minus]0.8[plus minus]0.7)[times]10[sup [minus]4], (2.3[plus minus]0.8[plus minus]0.7)[times]10[sup [minus]4], and less than 4.8[times]10[sup [minus]4] at 90% confidence level, respectively. A study of the [Sigma][sub [ital c]][sup ++] and [Sigma][sub [ital c]][sup 0] momentum spectra indicates that [ital B] decays to two-body final states with [Sigma][sub [ital c]] are suppressed.« less