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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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