中子-反中子振荡中的新反交换关系与重子数违反

14 浏览量更新于2024-09-03 收藏 264KB PDF 举报

本文探讨了一种新颖的物理现象，即在量子场论的背景下，重子数违反与典型的反交换关系之间的关系。基于BCS理论的效仿，作者构建了一个有效二次拉格朗日量，用来描述中子与反中子之间的可能振荡过程。在这个理论框架下，传统的中子变量n(t, x→)的等时反交换关系受到了重子数违反项的修正。 Bjorken-Johnson-Low公式和规范量子化方法被用来确立这一理论。这个理论的关键在于它引入了规范行为的新颖性，这可能导致物理效应的显著改变。例如，通过分析那些违反重子数但保持简并效用的马里亚纳费米子，这些效应得以展现。在这里，作者采用了博戈利布ov变换的相对论版本，使得模型的处理更为精炼和严谨。文章还指出，这个模型的发现过程经历了从接收初稿到修订再到接受的步骤，最终于2017年12月在线发表。编辑为J.Hisano。研究结果的重要性体现在它挑战了我们对基本粒子行为的理解，并可能揭示出在某些极端条件下，如极高能物理实验或宇宙早期，重子数守恒定律可能出现的微妙偏差。这篇论文为探索基础物理学的边界提供了新的视角，特别是对于理解中子-反中子相互作用和重子数守恒原理的潜在破坏性效应。对于那些对量子场论、规范理论和粒子物理有深入兴趣的研究者来说，这篇文章无疑是一份富有洞察力的资源。

Physics Letters B 777 (2018) 240–245

Contents lists available at ScienceDirect

Physics Letters B

www.elsevier.com/locate/physletb

Baryon number violation and novel canonical anti-commutation

relations

Kazuo Fujikawa

a,b,∗

, Anca Tureanu

a,∗

Department of Physics, University of Helsinki, P.O.Box 64, FIN-00014 Helsinki, Finland

Quantum Hadron Physics Laboratory, RIKEN Nishina Center, Wako 351-0198, Japan

a r t i c l e i n f o a b s t r a c t

Article history:

Received

6 November 2017

Received

in revised form 10 December 2017

Accepted

13 December 2017

Available

online 15 December 2017

Editor:

J. Hisano

The possible neutron–antineutron oscillation is described by an effective quadratic Lagrangian analogous

to the BCS theory. It is shown that the conventional equal-time anti-commutation relations of the

neutron variable n(t,



x) are modiﬁed by the baryon number violating terms. This is established by the

Bjorken–Johnson–Low prescription and also by the canonical quantization combined with equations of

motion. This novel canonical behavior can give rise to an important physical effect, which is illustrated

by analyzing the Lagrangian that violates the baryon number but gives rise to the degenerate effective

Majorana fermions and thus no neutron–antineutron oscillation. Technically, this model is neatly treated

using a relativistic analogue of the Bogoliubov transformation.

(http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP

1. Introduction

The possible neutron oscillation is analyzed by the quadratic

effective Hermitian Lagrangian with general B = 2terms added

[1–12],

=n(x)iγ

∂

n(x) −mn(x)n(x)

−



iα

(x)Cn(x) +e

−iα

n(x)Cn

(x)]

−



(x)C γ

n(x) −n(x)Cγ

(x)], (1)

where m, 

, 

and α are real parameters. The most general

quadratic Hermitian Lagrangian is written in the form (1) using

the phase freedom of n(x) → n(x) = e

iβ



(x); under this change

of naming the ﬁeld, the physical quantities in (1) such as mass

eigenvalues are obviously invariant. But C (and thus CP) transfor-

mation

rules of the solution of the Lagrangian (1) are modiﬁed. In

the present paper, we adopt the above phase convention which is

different from the one used in [13].

The

ﬁrst B =2term with real 

breaks the γ

-parity which

is deﬁned by

Corresponding authors.

E-mail

addresses: k-fujikawa@riken.jp (K. Fujikawa), anca.tureanu@helsinki.ﬁ

(A. Tureanu).

n(t,



x) → γ

n(t, −



x), n

(t,



x) →−γ

(t, −



x) (2)

with n

(t,



x) ≡ Cn(t,



, while the second term with real 

pre-

serves

-parity. In contrast, the ﬁrst term with real 

preserves

iγ

-parity which is deﬁned by

n(t,



x) → iγ

n(t, −



x), n

(t,



x) → iγ

(t, −



x), (3)

while the second term with real 

breaks iγ

-parity. The

iγ

-parity is natural in the analysis of the Majorana fermion since

it preserves the reality of the ﬁeld in the Majorana representation.

In the discussion of discrete symmetries of the general effective

Lagrangian (1), one is bound to adopt the iγ

-parity, and the CP

deﬁned in terms of iγ

-parity is broken only when α = 0in (1).

Our notational conventions follow [14], in particular, C = iγ

The

model (1) has been studied by various authors in the past

[1–12]. We have given an exact solution of (1) with α = 0 and

showed that the neutron oscillation cannot detect the effect of

CP violation, although the absolute rate of the oscillation is inﬂu-

enced

by α = 0 [13]. We have also shown that the choice 

= 0

gives

rise to the degenerate effective Majorana masses and thus

no oscillation. Nevertheless, physically the effect of γ

-parity pre-

serving

B = 2terms is not negligible [13], and it may appear

in the instability of nuclei. This effect is related to the interest-

ing

novel anti-commutation relations of neutron variables such as

{n(t,



x), n(t,



y)} = 0but {

n(t,



x), n(t,



y)} = 0, which is analyzed in

detail in the present paper. This effect is speciﬁc to the baryon

number violating theory.

https://doi.org/10.1016/j.physletb.2017.12.034

0370-2693/

SCOAP

下载后可阅读完整内容，剩余5页未读，立即下载

weixin_38622962

粉丝: 3
资源: 903

中子-反中子振荡中的新反交换关系与重子数违反

TeV尺度重子数违反模型：暗物质、中子反中子振荡与LHC信号

改进的二核子衰变至双轻子上限与重子数违反

重子数分解与中微子Majorana性质研究

在夸克衰变中搜索重子数违反

包容核子衰变搜索作为重子数违反的前沿

通过重子数违反使核子-光暗物质ni灭

六维重子数违反算子的重整化群演化

重子数违反二核子衰变为二轻子的改进的上限

超对称SU（5）GUT中重子数违反算子的阈值校正

大型强子对撞机约束于轻质重子数违反底端耦合到顶部和轻夸克

最新资源