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Title: Study of the ^7_{Lambda}He hypernucleus in formalism of the Faddeev equations

Abstract

P-shell A = 7 hypernuclei are considered in the cluster {sub {Lambda}}{sup 5}He + N + N model. The folding procedure are applied to construct the {sub {Lambda}}{sup 5}He-N interaction. We use the OBE simulating NSC97f potential for {Lambda}N interaction and various phenomenological potentials for {alpha}{Lambda} interaction. Configuration space Faddeev calculations are performed for hyperon binding energy of the {sub {Lambda}}{sup 7}He(1/2{sup +}) and {sub {lambda}}{sup 7}Li(1/2{sup +} and 3/2{sup +}, T=0) nuclei. Predicted value for B{sub {Lambda}}({sub {Lambda}}{sup 7}He) is 5.35 MeV. This value is obtained when the {sup {Lambda}}{sup 6}He(2{sup -}) excitation energy is equal 0.26 MeV by the adjustment of pair {sub {Lambda}}{sup 5}He-N effective potential to reproduce the experimental value of the {sub {Lambda}}{sup 7}Li(3/2{sup +}) excitation energy. Our results are compared with those of E. Hiyama et al.

Authors:
; ;
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility, Newport News, VA
Sponsoring Org.:
USDOE - Office of Energy Research (ER)
OSTI Identifier:
886688
Report Number(s):
JLAB-PHY-05-469; DOE/ER/40150-3973
TRN: US0604004
DOE Contract Number:
AC05-84ER40150
Resource Type:
Conference
Resource Relation:
Journal Name: AIP Conf.Proc.; Journal Volume: 814; Conference: Eleventh International Conference on Hadron Spectroscopy, Rio de Janeiro, Brazil, 21-26 August 2005
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BINDING ENERGY; CONFIGURATION; EXCITATION; FADDEEV EQUATIONS; HADRONS; HYPERNUCLEI; HYPERONS; NUCLEI; SPECTROSCOPY

Citation Formats

Igor Filikhin, Vladimir M. Suslov, and Branislav Vlahovic. Study of the ^7_{Lambda}He hypernucleus in formalism of the Faddeev equations. United States: N. p., 2006. Web. doi:10.1063/1.2176550.
Igor Filikhin, Vladimir M. Suslov, & Branislav Vlahovic. Study of the ^7_{Lambda}He hypernucleus in formalism of the Faddeev equations. United States. doi:10.1063/1.2176550.
Igor Filikhin, Vladimir M. Suslov, and Branislav Vlahovic. Wed . "Study of the ^7_{Lambda}He hypernucleus in formalism of the Faddeev equations". United States. doi:10.1063/1.2176550. https://www.osti.gov/servlets/purl/886688.
@article{osti_886688,
title = {Study of the ^7_{Lambda}He hypernucleus in formalism of the Faddeev equations},
author = {Igor Filikhin and Vladimir M. Suslov and Branislav Vlahovic},
abstractNote = {P-shell A = 7 hypernuclei are considered in the cluster {sub {Lambda}}{sup 5}He + N + N model. The folding procedure are applied to construct the {sub {Lambda}}{sup 5}He-N interaction. We use the OBE simulating NSC97f potential for {Lambda}N interaction and various phenomenological potentials for {alpha}{Lambda} interaction. Configuration space Faddeev calculations are performed for hyperon binding energy of the {sub {Lambda}}{sup 7}He(1/2{sup +}) and {sub {lambda}}{sup 7}Li(1/2{sup +} and 3/2{sup +}, T=0) nuclei. Predicted value for B{sub {Lambda}}({sub {Lambda}}{sup 7}He) is 5.35 MeV. This value is obtained when the {sup {Lambda}}{sup 6}He(2{sup -}) excitation energy is equal 0.26 MeV by the adjustment of pair {sub {Lambda}}{sup 5}He-N effective potential to reproduce the experimental value of the {sub {Lambda}}{sup 7}Li(3/2{sup +}) excitation energy. Our results are compared with those of E. Hiyama et al.},
doi = {10.1063/1.2176550},
journal = {AIP Conf.Proc.},
number = ,
volume = 814,
place = {United States},
year = {Wed Feb 01 00:00:00 EST 2006},
month = {Wed Feb 01 00:00:00 EST 2006}
}

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  • P-shell A = 7 hypernuclei are considered in the cluster {sub {lambda}}{sup 5}He + N + N model. The folding procedure are applied to construct the {sub {lambda}}{sup 5}He - N interaction. We use the OBE simulating NSC97f potential for {lambda}N interaction and various phenomenological potentials for {alpha}{lambda} interaction. Configuration space Faddeev calculations are performed for hyperon binding energy of the {sub {lambda}}{sup 7}He((1/2){sup +}) and {sub {lambda}}{sup 7}Li((1/2){sup +} and (3/2){sup +}, T=0) nuclei. Predicted value for B{sub {lambda}}({sub {lambda}}{sup 7}He) is 5.35 MeV. This value is obtained when the {sub {lambda}}{sup 6}He(2{sup -}) excitation energy is equal 0.26more » MeV by the adjustment of pair {sub {lambda}}{sup 5}He - N effective potential to reproduce the experimental value of the {sub {lambda}}{sup 7}Li((3/2){sup +}) excitation energy. Our results are compared with those of E. Hiyama et al. Phys. Rev. C 53, 2075-2085 (1996)« less
  • We present a fully correlated study of the six-body {sub {lambda}}{sub {lambda}}{sup 6}He hypernucleus. The wave function involves all relevant dynamic correlations as well as the space-exchange correlation (SEC). Calculations for energy breakdown, {lambda}{lambda}-separation energy, nuclear core polarization, and point proton radius have been performed. The baryon density profiles have also been calculated. Effect of SEC on all these physical observables is found to be significant. The findings suggest that a study ignoring SEC would be deficient.
  • A new approach to solution of the Faddeev integral equations is proposed and applied in practice. The approach is based on expansion in hyperspherical functions in momentum space and allows one to reduce the problem to solution of one-dimensional integral equations for any form of the two-body potentials. In the examples of the three-particle nuclei /sup 3/H and /sup 9/0Be good convergence in the number of the K harmonics included is demonstrated for several widely used local two-body potentials. The new approach contains a new partial expansion of the Faddeev wave functions and, in addition to the binding energy andmore » wave function, yields the two-particle T matrix off the energy shell as an intermediate result.« less