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Old_Phys_memo

Old_Phys_memo

密度 from LISE

  • 密度
    • Z = 1, H : 0.0715 g/cm3(たぶん固体。温度は?)

    • Z = 4, Be : 1.848 g/cm3

    • Z = 6, C : 2.253 g/cm3

    • Z = 13, Al : 2.702 g/cm3

    • Z = 14, Si : 2.323 g/cm3

    • Z = 26, Fe : 7.8658 g/cm3

    • Z = 82, Pb : 11.344 g/cm3

    • H10C9, BC-400 : 1.032 g/cm3

    • H8C10O4, Mayler- Melinex : 1.397 g/cm3

  • 1 g/cm2 になる厚さ

    • Z = 1, H : 140 mm
    • Z = 4, Be : 5.4 mm
    • Z = 6, C : 4.4 mm
    • Z = 13, Al : 3.7 mm
    • Z = 14, Si : 4.3 mm
    • Z = 56, Fe : 1.3 mm
    • Z = 82, Pb : 0.88 mm
    • H10C9, BC-400 : 9.7 mm

    • H8C10O4, Mayler- Melinex : 7.2 mm

Energy Loss

  • 37Mg 270 MeV/u の物質中(1 g/cm2)でのエネルギー損失(原子質量単位当たり~核子当り)

    • Z = 1, H : 31 MeV/u
    • Z = 4, Be : 12 MeV/u
    • Z = 6, C : 13 MeV/u
    • Z = 13, Al : 12 MeV/u
    • Z = 14, Si : 12 MeV/u
    • Z = 26, Fe : 10 MeV/u
    • Z = 82, Pb : 7.6 MeV/u
    • H10C9, BC-400 : 15 MeV/u

    • H8C10O4, Mayler- Melinex : 14 MeV/u

  • エネルギー 270 MeV/u, 原子番号 Z の原子核の 物質 1 g/cm2 中でのエネルギー損失(原子質量単位当たり~核子当り)は、およそ Z MeV/u

    • エネルギー損失は 物質の Z/A に比例する。たいていの物質は Z/A ~ 2。
    • Z/A = 1 の水素が入っていると、エネルギー損失が大きい。 Z/A ~ 2.5 の Pb だとエネルギー損失は小さい。

Sn 実際の値

  • 特に明記しない場合、出典は G. Audi et al., Nucl. Phys. A729, 337 (2003).

  • 31Ne

    • Sn = 0.29(1.64) MeV

    • S2n = Sn + 3.4(0.3) MeV = 3.7(1.7) MeV

      • (B. Jurado et al., Phys. Lett. B 649, 43 (2007).)

  • 30Ne

    • Sn = 3.03 (63) MeV

    • S2n = 4.29 (59) MeV

  • 22C

    • Sn = 0.75(1.03) MeV

    • S2n = 0.42(0.94) MeV

  • 20C

    • Sn = 2.93(26) MeV

    • S2n = 3.51(24) MeV

  • 19C

    • Sn = 0.58(9) MeV

    • S2n = 4.76(10) MeV

  • 18C

    • Sn = 4.180(30) MeV

    • S2n = 4.910(30) MeV

計算メモ

  • e-xsin(x), e-xcos(x) の積分

    •  

    • dvipng error! exitcode was 2 (signal 0), transscript follows:
      
      
    •  

    • dvipng error! exitcode was 2 (signal 0), transscript follows:
      
      
    •  

    • より、
    •  

    • dvipng error! exitcode was 2 (signal 0), transscript follows:
      
      
    •  

    • dvipng error! exitcode was 2 (signal 0), transscript follows:
      
      
    •  

    • であるから、
    •  

    • dvipng error! exitcode was 2 (signal 0), transscript follows:
      
      
    •  

    • dvipng error! exitcode was 2 (signal 0), transscript follows:
      
      
    •  

  • e-axsin(x), e-axcos(x) の積分

    •  

    • dvipng error! exitcode was 2 (signal 0), transscript follows:
      
      
    •  

    • dvipng error! exitcode was 2 (signal 0), transscript follows:
      
      
    •  

    • より、
    •  

    • dvipng error! exitcode was 2 (signal 0), transscript follows:
      
      
    •  

    • dvipng error! exitcode was 2 (signal 0), transscript follows:
      
      
    •  

    • であるから、
    •  

    • dvipng error! exitcode was 2 (signal 0), transscript follows:
      
      
    •  

    • dvipng error! exitcode was 2 (signal 0), transscript follows:
      
      
    •  

    •  

  • e-axsin(kx), e-axcos(kx) の積分

    •  

    • dvipng error! exitcode was 2 (signal 0), transscript follows:
      
      
    •  

      • dvipng error! exitcode was 2 (signal 0), transscript follows:
        
        
      •  

      • dvipng error! exitcode was 2 (signal 0), transscript follows:
        
        
      •  

    • dvipng error! exitcode was 2 (signal 0), transscript follows:
      
      
    •  

      • dvipng error! exitcode was 2 (signal 0), transscript follows:
        
        
      •  

      • dvipng error! exitcode was 2 (signal 0), transscript follows:
        
        
    •  

  • e-axsin(kx), e-axcos(kx) の定積分

    •  

    • dvipng error! exitcode was 2 (signal 0), transscript follows:
      
      
    •  

      • dvipng error! exitcode was 2 (signal 0), transscript follows:
        
        
      •  

    • dvipng error! exitcode was 2 (signal 0), transscript follows:
      
      
      •  

      • dvipng error! exitcode was 2 (signal 0), transscript follows:
        
        
      •  

  • xe-axsin(kx), xe-axcos(kx) の定積分

    •  

    • dvipng error! exitcode was 2 (signal 0), transscript follows:
      
      
      •  

      • dvipng error! exitcode was 2 (signal 0), transscript follows:
        
        
      •  

      • dvipng error! exitcode was 2 (signal 0), transscript follows:
        
        
      •  

    • dvipng error! exitcode was 2 (signal 0), transscript follows:
      
      
      •  

      • dvipng error! exitcode was 2 (signal 0), transscript follows:
        
        
      •  

      • dvipng error! exitcode was 2 (signal 0), transscript follows:
        
        
      •  

微分

  • dvipng error! exitcode was 2 (signal 0), transscript follows:
    
    
  • dvipng error! exitcode was 2 (signal 0), transscript follows:
    
    
  • dvipng error! exitcode was 2 (signal 0), transscript follows:
    
    
    • dvipng error! exitcode was 2 (signal 0), transscript follows:
      
      
    • dvipng error! exitcode was 2 (signal 0), transscript follows:
      
      
  • dvipng error! exitcode was 2 (signal 0), transscript follows:
    
    
    • dvipng error! exitcode was 2 (signal 0), transscript follows:
      
      
  • dvipng error! exitcode was 2 (signal 0), transscript follows:
    
    
    • dvipng error! exitcode was 2 (signal 0), transscript follows:
      
      

誤差

  • dvipng error! exitcode was 2 (signal 0), transscript follows:
    
    
  • dvipng error! exitcode was 2 (signal 0), transscript follows:
    
    
  • dvipng error! exitcode was 2 (signal 0), transscript follows:
    
    
  • dvipng error! exitcode was 2 (signal 0), transscript follows:
    
    
  • dvipng error! exitcode was 2 (signal 0), transscript follows:
    
    
  • ここで、

    dvipng error! exitcode was 2 (signal 0), transscript follows:
    
    
    とすると、
  • dvipng error! exitcode was 2 (signal 0), transscript follows:
    
    
  • dvipng error! exitcode was 2 (signal 0), transscript follows: