Study of the ^7_{Lambda}He hypernucleus in formalism of the Faddeev equations
Abstract
Pshell 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}HeN 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}HeN 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):
 JLABPHY05469; DOE/ER/401503973
TRN: US0604004
 DOE Contract Number:
 AC0584ER40150
 Resource Type:
 Conference
 Resource Relation:
 Journal Name: AIP Conf.Proc.; Journal Volume: 814; Conference: Eleventh International Conference on Hadron Spectroscopy, Rio de Janeiro, Brazil, 2126 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 = {Pshell 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}HeN 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}HeN 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}
}

Pshell 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 »

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New approach to solution of the Faddeev integral equations, applicationto /sup 3/H and the hypernucleus /sup 9/0 Be
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