Tracing the Origin of the g_A Problem in the Skyrme Model

スポンサーリンク

概要

• 論文の詳細を見る

• A prominent feature of the fiest order rotational correction (or the 1/N_c correction) to g_A recently found within the framework of the chiral quark soliton model (CQSM) is that the corresponding effect is entirely missing in the Skyrme model. We attempt to reveal the origin of this crucial observation through a comparison of two approaches based on the lagrangian of the chiral quark model. In the first approach, which is nothing but a path integral formulation of the CQSM, it is shown that a crucial ingredient leading to this novel 1/N_c correction is the correct account of the physical time order of two collective space oparators in the quantization of the rotational zaro-energy mode. On the other hand, the standard functional bosonization of the same lagrangian turns out to lose this indispensable information on the chronilogical order of these two oparators. Once this information is lost, the generalized time-reversal invariance or the particle conjugation symmetry does not allow this 1/N_c correction to survive,which explains the reason why the g_A problem of the Skyrme model arises. On the other hand, within the CQSM the existence of strong interactions. It is emphasized that the same 1/N_c correction to g_A is also obtained by using an ordinary perturbation theory based on the cranking procedure, contrary to a recent claim. We also discuss the recently raised PCAC consistency problem to show that the required 1/N_c correction term in the equation of motion naturally follows from an action principle so that there is no contradiction between the new 1/N_c correction to g_A and the PCAC relation.

• 理論物理学刊行会の論文
• 1996-01-25

著者

• 若松 正志

  大阪大学理学研究科

• WAKAMATSU Masashi

  Department of Physics, Osaka University

• Wakamatsu Masashi

  Department Of Physics Osaka University

• WAKAMATSU Masashi

  Institute of Physics, University of Tokyo

関連論文

• Phase Transition to Abnormal Nuclear Matter at Finite Temperature and Finite Baryon Density
• 30pSD-5 カイラル・クォーク・ソリトン模型に基づくカイラリティ奇、ツイスト 3 の分布関数 e(x)
• 29pSJ-7 陽子の電気・磁気形状因子比のQ^2依存性の物理的起源(29pSJ ハドロン構造,理論核物理領域)
• A Chiral Theory of Strange Sea Distributions in the Nucleon
• 28pSB-7 核子スピンの縦をカイラル・クォーク・ソリトン模型で解く
• 核子スピンの謎をカイラル-クォーク-ソリトン模型で解く
• Magnetic Moments of Octet and Decuplet Baryons in the SU(3) Chiral Soliton Model
• Chapter VI Chiral Quark Soliton Model and Skyrme Model : Quark versus Mesonic Description of Baryons
• The g_A Problem in the Skyrme Model and the Fermion-Boson Non-Correspondence
• Tracing the Origin of the g_A Problem in the Skyrme Model
• Nucleon Recoil Current in the Nuclear Weak and Electromagnetic Interactions
• Nuclear Saturation in the σ-Model

もっと見る 閉じる

スポンサーリンク