Borel sum rules for octet baryons in nuclear medium
Kondo, Y; Morimatsu, O
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BARYON OCTETS; SUM RULES; NUCLEAR MATTER; DISPERSION RELATIONS; OPERATOR PRODUCT EXPANSION; QUANTUM CHROMODYNAMICS; 662360; DECAYS OF BARYONS
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, <q-barq> and <q{sup +}q>, 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).
Tokyo Univ., Tanashi (Japan). Inst. for Nuclear Study
OSTI; NTIS; INIS
Japan
1992-06-01
English
Technical Report
Other Information: PBD: Jun 1992
Medium: X; Size: 13 p.
ON: DE93753245
INS-933
Other: ON: DE93753245; TRN: JP9211166
JPN; SCA: 662360; PA: JPN-92:011166; SN: 93000918571
2008-02-12
10111196