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Borel sum rules for octet baryons in nuclear medium

Technical Report:

Abstract

Borel sum rules are examined for octet baryons in the nuclear medium. First, it is noticed that in the medium the dispersion relation is realized for the retarded correlation {Pi}{sup R}({omega}, q{sup 2}) in the energy {omega}. Then, {Pi}{sup R}({omega}, q{sup 2}) is split into even and odd parts of {omega} in order to apply the Borel transformation. The obtained Borel sum rules differ from those of previous works. The mass shifts of octet baryons are calculated in the leading order of the operator product expansion with linear density approximation for the condensates. It is found that both scalar and vector condensates of the quark field, and , induce attraction to the octet baryons in the medium in contrast to the results of previous works. It is also found that |{delta}M{sub N}| > |{delta}M{sub {Lambda}}| > |{delta}M{sub {Sigma}}| {approx} |{delta}M{sub {Xi}}|. The absolute values, however, turn out to be one order of magnitude larger than those empirically known if a Borel mass of around 1 GeV is used in the present approximation. (author).
Publication Date:
Jun 01, 1992
Product Type:
Technical Report
Report Number:
INS-933
Reference Number:
SCA: 662360; PA: JPN-92:011166; SN: 93000918571
Resource Relation:
Other Information: PBD: Jun 1992
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BARYON OCTETS; SUM RULES; NUCLEAR MATTER; DISPERSION RELATIONS; OPERATOR PRODUCT EXPANSION; QUANTUM CHROMODYNAMICS; 662360; DECAYS OF BARYONS
OSTI ID:
10111196
Research Organizations:
Tokyo Univ., Tanashi (Japan). Inst. for Nuclear Study
Country of Origin:
Japan
Language:
English
Other Identifying Numbers:
Other: ON: DE93753245; TRN: JP9211166
Availability:
OSTI; NTIS; INIS
Submitting Site:
JPN
Size:
13 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Kondo, Y, and Morimatsu, O. Borel sum rules for octet baryons in nuclear medium. Japan: N. p., 1992. Web.
Kondo, Y, & Morimatsu, O. Borel sum rules for octet baryons in nuclear medium. Japan.
Kondo, Y, and Morimatsu, O. 1992. "Borel sum rules for octet baryons in nuclear medium." Japan.
@misc{etde_10111196,
title = {Borel sum rules for octet baryons in nuclear medium}
author = {Kondo, Y, and Morimatsu, O}
abstractNote = {Borel sum rules are examined for octet baryons in the nuclear medium. First, it is noticed that in the medium the dispersion relation is realized for the retarded correlation {Pi}{sup R}({omega}, q{sup 2}) in the energy {omega}. Then, {Pi}{sup R}({omega}, q{sup 2}) is split into even and odd parts of {omega} in order to apply the Borel transformation. The obtained Borel sum rules differ from those of previous works. The mass shifts of octet baryons are calculated in the leading order of the operator product expansion with linear density approximation for the condensates. It is found that both scalar and vector condensates of the quark field, and , induce attraction to the octet baryons in the medium in contrast to the results of previous works. It is also found that |{delta}M{sub N}| > |{delta}M{sub {Lambda}}| > |{delta}M{sub {Sigma}}| {approx} |{delta}M{sub {Xi}}|. The absolute values, however, turn out to be one order of magnitude larger than those empirically known if a Borel mass of around 1 GeV is used in the present approximation. (author).}
place = {Japan}
year = {1992}
month = {Jun}
}