Compositeness of baryonic resonances: Application to the Δ(1232), N(1535), and N(1650) resonances

被引：27

作者：

Sekihara, Takayasu ^{[1
]}

Arai, Takashi ^{[2
]}

Yamagata-Sekihara, Junko ^{[3
]}

Yasui, Shigehiro ^{[4
]}

机构：

[1] Osaka Univ, RCNP, Ibaraki, Osaka 5670047, Japan

[2] High Energy Accelerator Res Org KEK, IPNS, Theory Ctr, 1-1 Oho, Tsukuba, Ibaraki 3050801, Japan

[3] Oshima Coll, Natl Inst Technol, Yamaguchi 7422193, Japan

[4] Tokyo Inst Technol, Dept Phys, Tokyo 1528551, Japan

来源：

PHYSICAL REVIEW C | 2016年 / 93卷 / 03期

基金：

日本学术振兴会;

关键词：

CHIRAL DYNAMICS; NUCLEON INTERACTIONS; ELEMENTARY PARTICLE; REACTION AMPLITUDES; WAVE-FUNCTIONS; PI-N; STATES; SCATTERING; REPRESENTATION; CONSTRAINTS;

D O I：

10.1103/PhysRevC.93.035204

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

We present a formulation of the compositeness for baryonic resonances to discuss the meson-baryon molecular structure inside the resonances. For this purpose, we derive a relation between the residue of the scattering amplitude at the resonance pole position and the two-body wave function of the resonance in a sophisticated way, and we define the compositeness as the norm of the two-body wave functions. As applications, we investigate the compositeness of the Delta(1232), N(1535), and N(1650) resonances from precise pi N scattering amplitudes in a unitarized chiral framework with the interaction up to the next-to-leading order in chiral perturbation theory. The pi N compositeness for the Delta(1232) resonance is evaluated in the pi N single-channel scattering, and we find that the pi N component inside Delta(1232) in the present framework is non-negligible, which supports the previous work. On the other hand, the compositeness for the N(1535) and N(1650) resonances is evaluated in a coupled-channel approach, resulting that the pi N, eta N, K Lambda, and K Sigma components are negligible for these resonances.

引用

页数：22

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