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Title: {lambda}NN and {sigma}NN systems at threshold

Abstract

We calculate the hypertriton binding energy and the {lambda}d and {sigma}d scattering lengths using baryon-baryon interactions obtained from a chiral constituent quark model. We study consistently the {lambda}NN and {sigma}NN systems by analyzing the effect of the {sigma}{r_reversible}{lambda} conversion. Our interactions correctly predict the hypertriton binding energy. The (I,J)=(0,3/2) {lambda}NN channel is also attractive and it might have a bound state. From the condition of nonexistence of a (0,3/2) {lambda}NN bound state, an upper limit for the spin-triplet {lambda}N scattering length is obtained. We also present results for the elastic and inelastic {sigma}N and {lambda}N cross sections. The consistent description of the {sigma}N scattering cross sections imposes a lower limit for the corresponding spin-triplet scattering lengths. In the {sigma}NN system the only attractive channels are (I,J)=(1,1/2) and (0,1/2), the (1,1/2) state being the most attractive one.

Authors:
 [1];  [2];  [3];  [4]
  1. Escuela Superior de Fisica y Matematicas, Instituto Politecnico Nacional, Edificio 9, 07738 Mexico D.F. (Mexico)
  2. (Spain)
  3. Departamento de Fisica Teorica e IFIC, Universidad de Valencia-CSIC, E-46100 Burjassot, Valencia (Spain)
  4. Departamento de Fisica Fundamental, Universidad de Salamanca, E-37008 Salamanca (Spain)
Publication Date:
OSTI Identifier:
20995111
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevC.75.034002; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; BINDING ENERGY; BOUND STATE; CHIRAL SYMMETRY; CHIRALITY; CROSS SECTIONS; DEUTERONS; HYPERNUCLEI; HYPERONS; NUCLEAR FORCES; NUCLEON-HYPERON INTERACTIONS; QUARK MODEL; SCATTERING; SCATTERING LENGTHS; SPIN; TRIPLETS; TRITONS

Citation Formats

Garcilazo, H., Departamento de Fisica Fundamental, Universidad de Salamanca, E-37008 Salamanca, Fernandez-Carames, T., and Valcarce, A. {lambda}NN and {sigma}NN systems at threshold. United States: N. p., 2007. Web. doi:10.1103/PHYSREVC.75.034002.
Garcilazo, H., Departamento de Fisica Fundamental, Universidad de Salamanca, E-37008 Salamanca, Fernandez-Carames, T., & Valcarce, A. {lambda}NN and {sigma}NN systems at threshold. United States. doi:10.1103/PHYSREVC.75.034002.
Garcilazo, H., Departamento de Fisica Fundamental, Universidad de Salamanca, E-37008 Salamanca, Fernandez-Carames, T., and Valcarce, A. Thu . "{lambda}NN and {sigma}NN systems at threshold". United States. doi:10.1103/PHYSREVC.75.034002.
@article{osti_20995111,
title = {{lambda}NN and {sigma}NN systems at threshold},
author = {Garcilazo, H. and Departamento de Fisica Fundamental, Universidad de Salamanca, E-37008 Salamanca and Fernandez-Carames, T. and Valcarce, A.},
abstractNote = {We calculate the hypertriton binding energy and the {lambda}d and {sigma}d scattering lengths using baryon-baryon interactions obtained from a chiral constituent quark model. We study consistently the {lambda}NN and {sigma}NN systems by analyzing the effect of the {sigma}{r_reversible}{lambda} conversion. Our interactions correctly predict the hypertriton binding energy. The (I,J)=(0,3/2) {lambda}NN channel is also attractive and it might have a bound state. From the condition of nonexistence of a (0,3/2) {lambda}NN bound state, an upper limit for the spin-triplet {lambda}N scattering length is obtained. We also present results for the elastic and inelastic {sigma}N and {lambda}N cross sections. The consistent description of the {sigma}N scattering cross sections imposes a lower limit for the corresponding spin-triplet scattering lengths. In the {sigma}NN system the only attractive channels are (I,J)=(1,1/2) and (0,1/2), the (1,1/2) state being the most attractive one.},
doi = {10.1103/PHYSREVC.75.034002},
journal = {Physical Review. C, Nuclear Physics},
number = 3,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}