| Item type |
デフォルトアイテムタイプ_（フル）(1) |
| 公開日 |
2023-03-18 |
| タイトル |
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|
タイトル |
Hadron scattering lengths in lattice QCD |
|
言語 |
en |
| 作成者 |
Fukugita, M
Kuramashi, Y
Okawa, Masanori
Mino, H
Ukawa, A
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| アクセス権 |
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アクセス権 |
open access |
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アクセス権URI |
http://purl.org/coar/access_right/c_abf2 |
| 権利情報 |
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|
権利情報 |
Copyright (c) 1995 The American Physical Society |
| 主題 |
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主題Scheme |
NDC |
|
主題 |
420 |
| 内容記述 |
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内容記述 |
A lattice QCD calculation of s-wave hadron scattering lengths in the channels π-π, π-N, K-N, K¯-N, and N-N is carried out in the quenched approximation at β=6/g2=5.7. A variant of the method of wall source is developed for this purpose, which reduces the computer time by a factor L3 on an L3×T lattice compared to the conventional point source method and avoids the Fierz mixing problem. A version of the method in which gauge configurations are not fixed to any gauge can be extended to calculate disconnected quark loop contributions in hadron two- and three-point functions. An analytical estimate of statistial errors for this method is worked out, and the magnitude of errors without and with gauge fixing is compared for the case of π-π four-point functions calculated with the Kogut-Susskind quark action. For π-π scattering both I=0 and 2 scattering lengths are evaluated ujsing the Kogut-Susskind and Wilson quark actions on a 123×20 lattice. For the same size lattice, π-N, K-N, and K¯-N scattering lengths are calculated with the Wilson quark action. For the π-π and π-N cases simulation results are consistent with the predictions of current algebra and PCAC within one to two standard deviations up to quite heavy quark masses corresponding to mπ/mρ≊0.74, while for the K-N and K¯-N cases the agreement is within a factor of 2.For N-N scattering a phenomenological study with one-boson exchange potentials indicate that the deuteron becomes unbound if the quark mass is increased beyond 30–400f the physical value. Simulations with the Wilson action on a 204 lattice with heavy quarks with mπ/mρ≊0.74–0.95 show that the nucleon-nucleon force is attractive for both spin triplet and singlet channels, and that the scatteirng lengths are substantially larger compared to those for the π-π and π-N cases even for such heavy quarks. The problem of statistical errors, which has to be overcome toward a more realistic calculation of hadron scattering lengths, is discussed. |
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言語 |
en |
| 出版者 |
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|
出版者 |
The American Physical Society |
| 言語 |
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|
言語 |
eng |
| 資源タイプ |
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資源タイプ識別子 |
http://purl.org/coar/resource_type/c_6501 |
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資源タイプ |
journal article |
| 出版タイプ |
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出版タイプ |
VoR |
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出版タイプResource |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
| 関連情報 |
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関連タイプ |
isVersionOf |
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識別子タイプ |
DOI |
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関連識別子 |
http://dx.doi.org/10.1103/PhysRevD.52.3003 |
| 収録物識別子 |
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収録物識別子タイプ |
ISSN |
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収録物識別子 |
1550-7998 |
| 開始ページ |
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開始ページ |
3003 |
| 書誌情報 |
Physical Review D
Physical Review D
巻 52,
p. 3003-3023,
発行日 1995
|
| 旧ID |
14526 |
p3003_1.pdf (3.2 MB)
