The mass of the Δ resonance in a finite volume: fourth-order calculation

被引：13

作者：

Bernard, V. ^{[1
]}

Hoja, D. ^{[2
,3
]}

Meissner, U. -G. ^{[2
,3
,4
,5
]}

Rusetsky, A. ^{[2
,3
]}

机构：

[1] Univ Paris 11, CNRS, IPN, Grp Phys Theor, F-91406 Orsay, France

[2] Univ Bonn, Helmholtz Inst Strahlen & Kernphys, D-53115 Bonn, Germany

[3] Univ Bonn, Bethe Ctr Theoret Phys, D-53115 Bonn, Germany

[4] Forschungszentrum Julich, Inst Adv Simulat, Inst Kernphys, D-52425 Julich, Germany

[5] Forschungszentrum Julich, Julich Ctr Hadron Phys, D-52425 Julich, Germany

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2009年 / 06期

关键词：

Lattice QCD; Chiral Lagrangians; Lattice Quantum Field Theory; CHIRAL PERTURBATION-THEORY; PION-NUCLEON SCATTERING; LATTICE QCD; BARYON; SPECTROSCOPY; STATES; EXCITATIONS; SPECTRUM; DECAY;

D O I：

10.1088/1126-6708/2009/06/061

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We calculate the self-energy of the Delta(1232) resonance in a finite volume, using chiral effective field theory with explicit spin-3/2 fields. The calculations are performed up-to-and-including fourth order in the small scale expansion and yield an explicit parameterization of the energy spectrum of the interacting pion-nucleon pair in a finite box in terms of both the quark mass and the box size L. It is shown that finite-volume corrections can be sizeable at small quark masses.

引用

页数：22

共 66 条

[1] Light baryon masses with dynamical twisted mass fermions [J].

Alexandrou, C. ;

Baron, R. ;

Blossier, B. ;

Brinet, M. ;

Carbonell, J. ;

Dimopoulos, P. ;

Drach, V. ;

Farchioni, F. ;

Frezzotti, R. ;

Guichon, P. ;

Herdoiza, G. ;

Jansen, K. ;

Korzec, T. ;

Koutsou, G. ;

Liu, Z. ;

Michael, C. ;

Pene, O. ;

Shindler, A. ;

Urbach, C. ;

Wenger, U. .

PHYSICAL REVIEW D, 2008, 78 (01)

[2] Δ-baryon electromagnetic form factors in lattice QCD [J].

Alexandrou, C. ;

Korzec, T. ;

Koutsou, G. ;

Leontiou, Th. ;

Lorce, C. ;

Negele, J. W. ;

Pascalutsa, V. ;

Tsapalis, A. ;

Vanderhaeghen, M. .

PHYSICAL REVIEW D, 2009, 79 (01)

[3]

ALEXANDROU C, POS LATTICE 2007

[4]

[Anonymous], NUCL PHYS B

[5] Lattice QCD calculation of the ρ meson decay width [J].

Aoki, S. ;

Fukugita, M. ;

Ishikawa, K-I. ;

Ishizuka, N. ;

Kanaya, K. ;

Kuramashi, Y. ;

Namekawa, Y. ;

Okawa, M. ;

Sasaki, K. ;

Ukawa, A. ;

Yoshie, T. .

PHYSICAL REVIEW D, 2007, 76 (09)

[6]

Battaglieri M, 2007, AIP CONF PROC, V964, P14

[7] Nucleon-nucleon scattering from fully dynamical lattice QCD [J].

Beane, S. R. ;

Bedaque, P. F. ;

Orginos, K. ;

Savage, M. J. .

PHYSICAL REVIEW LETTERS, 2006, 97 (01)

[8] Hyperon-nucleon scattering from fully-dynamical lattice QCD [J].

Beane, Silas R. ;

Bedaque, Paulo F. ;

Luu, Thomas C. ;

Orginos, Kostas ;

Pallante, Elisabetta ;

Parreno, Assumpta ;

Savage, Martin J. .

NUCLEAR PHYSICS A, 2007, 794 (1-2) :62-72

[9] A framework for exploring the interactions and decays of hyperons with lattice QCD [J].

Beane, SR ;

Bedaque, PF ;

Parreño, A ;

Savage, MJ .

NUCLEAR PHYSICS A, 2005, 747 (01) :55-74

[10] Two nucleons on a lattice [J].

Beane, SR ;

Bedaque, PF ;

Parreño, A ;

Savage, MJ .

PHYSICS LETTERS B, 2004, 585 (1-2) :106-114

← 1 2 3 4 5 6 7 →