Two particle states in an asymmetric box

被引:34
作者
Li, X [1 ]
Liu, C [1 ]
机构
[1] Peking Univ, Dept Phys, Beijing 100871, Peoples R China
基金
中国国家自然科学基金;
关键词
scattering length; lattice QCD; finite size effects;
D O I
10.1016/j.physletb.2004.02.068
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The exact two-particle energy eigenstates in an asymmetric rectangular box with periodic boundary conditions in all three directions are studied. Their relation with the elastic scattering phases of the two particles in the continuum are obtained. These results can be viewed as a generalization of the corresponding formulae in a cubic box obtained by Luscher before. In particular, the s-wave scattering length is related to the energy shift in the finite box. Possible applications of these formulae are also discussed. (C) 2004 Published by Elsevier B.V.
引用
收藏
页码:100 / 104
页数:5
相关论文
共 15 条
[1]   I=2 pion scattering length with the Wilson fermion -: art. no. 077501 [J].
Aoki, S ;
Fukugita, M ;
Hashimoto, S ;
Ishikawa, KI ;
Ishizuka, N ;
Iwasaki, Y ;
Kanaya, K ;
Kaneko, T ;
Kuramashi, Y ;
Okawa, M ;
Onogi, T ;
Tominaga, S ;
Tsutsui, N ;
Ukawa, A ;
Yamada, N ;
Yoshié, T .
PHYSICAL REVIEW D, 2002, 66 (07)
[2]   I=2 pion scattering length with Wilson fermions [J].
Aoki, S ;
Fukugita, M ;
Hashimoto, S ;
Ishikawa, KI ;
Ishizuka, N ;
Iwasaki, Y ;
Kanaya, K ;
Kaneda, T ;
Kaya, S ;
Kuramashi, Y ;
Okawa, M ;
Onogi, T ;
Tominaga, S ;
Tsutsui, N ;
Ukawa, A ;
Yamada, N ;
Yoshie, T .
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2000, 83-4 :241-243
[3]  
*CP PACS COLL, HEPLAT0309155
[4]  
*CP PACS COLL, 2003, PHYS REV D, V67
[5]   HADRON SCATTERING LENGTHS IN LATTICE QCD [J].
FUKUGITA, M ;
KURAMASHI, Y ;
OKAWA, M ;
MINO, H ;
UKAWA, A .
PHYSICAL REVIEW D, 1995, 52 (05) :3003-3023
[6]   SCATTERING PHASES ON FINITE LATTICES IN THE BROKEN PHASE OF THE 4-DIMENSIONAL O(4).PHI(4) THEORY [J].
GOCKELER, M ;
KASTRUP, HA ;
WESTPHALEN, J ;
ZIMMERMANN, F .
NUCLEAR PHYSICS B, 1994, 425 (1-2) :413-448
[7]   I = 2 PION-SCATTERING AMPLITUDE WITH WILSON FERMIONS [J].
GUPTA, R ;
PATEL, A ;
SHARPE, SR .
PHYSICAL REVIEW D, 1993, 48 (01) :388-396
[8]  
ISHIZUKA N, HEPLAT0309168
[9]  
ISHIZUKA N, HEPLAT0209108
[10]  
JUGE KJ, HEPLAT0309075