Abstract

Using a resonatorlike electrostatic ion trap, we demonstrate that, under certain conditions, it is possible to keep the width of a packet of ions oscillating between two mirrors constant. We show, using a one-dimensional model, that the effect is the result of Coulomb repulsion, which, in a counterintuitive way, keeps the ions together.

© 2003 Optical Society of America

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  1. For a review of ion traps see, e.g., I. Bergstrom, C. Carlberg, and R. Schuch, eds., “Trapped charged particles and related fundamental physics, Proceedings of Nobel Symposium 91, Phys. Scr. T59, 21–434 (1995).
  2. D. Zajfman, O. Heber, L. Vejby-Christensen, I. Ben-Itzhak, M. Rappaport, R. Fishman, and M. Dahan, “An electrostatic bottle for long time storage of fast ion beams,” Phys. Rev. A 55, R1577–R1580 (1997).
    [CrossRef]
  3. M. Dahan, R. Fishman, O. Heber, M. Rappaport, N. Altstein, W. J. van der Zande, and D. Zajfman, “A new type of electrostatic ion trap for storage of fast ion beams,” Rev. Sci. Instrum. 69, 76–83 (1998).
    [CrossRef]
  4. L. Knoll, K. G. Bhushan, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Lifetime measurement of Be(2s2p2 4P3/2) using an electrostatic ion trap,” Phys. Rev. A 60, 1710–1712 (1999).
    [CrossRef]
  5. A. Wolf, K. G. Bhushan, I. Ben Itzhak, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Lifetime measurement of He using an electrostatic ion trap,” Phys. Rev. A 59, 267–270 (1999).
    [CrossRef]
  6. R. Wester, K. G. Bhushan, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Radiative lifetime measurement of the a 3Σ+ metastable state of NO+ using a new type of electrostatic ion trap,” J. Chem. Phys. 110, 11830–11834 (1999).
    [CrossRef]
  7. K. G. Bhushan, H. B. Pedersen, N. Alstein, O. Heber, M. L. Rappaport, and D. Zajfman, “Radiative lifetime of the metastable 1S0 state of Xe2+,” Phys. Rev. A 62, 012504 (2000).
    [CrossRef]
  8. D. Strasser, K. G. Bhushan, H. B. Pedersen, R. Wester, O. Heber, A. Lafosse, M. L. Rappaport, N. Alstein, and D. Zajfman, “Charge-transfer dissociation of vibrationally cold HeH+: evidence for and lifetime of the a 3Σ+ metastable state,” Phys. Rev. A 61, 060705 (2000).
    [CrossRef]
  9. H. B. Pedersen, D. Strasser, S. Ring, O. Heber, M. L. Rappaport, Y. Rudich, I. Sagi, and D. Zajfman, “Ion motion synchronization in an ion-trap resonator,” Phys. Rev. Lett. 87, 055001 (2001).
    [CrossRef] [PubMed]
  10. H. B. Pedersen, D. Strasser, B. Amarant, O. Heber, M. L. Rappaport, and D. Zajfman, “Diffusion and synchronization in an ion-trap resonator,” Phys. Rev. A 65, 042704 (2002).
    [CrossRef]
  11. D. Strasser, T. Geyer, H. B. Pedersen, O. Heber, S. Goldberg, B. Amarant, A. Diner, Y. Rudich, I. Sagi, M. Rappaport, D. J. Tannor, and D. Zajfman, “Negative mass instability for interacting particles in a 1D box: theory and an application,” Phys. Rev. Lett. 89, 283204 (2002).
    [CrossRef]
  12. C. E. Nielsen, A. M. Sessler, and K. R. Symon, High Energy Accelerators and Instrumentation (CERN, Geneva, 1959), pp. 239–254.
  13. For a review see J. Lawson, The Physics of Charged Particle Beams, 2nd ed. (Clarendon, Oxford, 1988).

2002 (2)

H. B. Pedersen, D. Strasser, B. Amarant, O. Heber, M. L. Rappaport, and D. Zajfman, “Diffusion and synchronization in an ion-trap resonator,” Phys. Rev. A 65, 042704 (2002).
[CrossRef]

D. Strasser, T. Geyer, H. B. Pedersen, O. Heber, S. Goldberg, B. Amarant, A. Diner, Y. Rudich, I. Sagi, M. Rappaport, D. J. Tannor, and D. Zajfman, “Negative mass instability for interacting particles in a 1D box: theory and an application,” Phys. Rev. Lett. 89, 283204 (2002).
[CrossRef]

2001 (1)

H. B. Pedersen, D. Strasser, S. Ring, O. Heber, M. L. Rappaport, Y. Rudich, I. Sagi, and D. Zajfman, “Ion motion synchronization in an ion-trap resonator,” Phys. Rev. Lett. 87, 055001 (2001).
[CrossRef] [PubMed]

2000 (2)

K. G. Bhushan, H. B. Pedersen, N. Alstein, O. Heber, M. L. Rappaport, and D. Zajfman, “Radiative lifetime of the metastable 1S0 state of Xe2+,” Phys. Rev. A 62, 012504 (2000).
[CrossRef]

D. Strasser, K. G. Bhushan, H. B. Pedersen, R. Wester, O. Heber, A. Lafosse, M. L. Rappaport, N. Alstein, and D. Zajfman, “Charge-transfer dissociation of vibrationally cold HeH+: evidence for and lifetime of the a 3Σ+ metastable state,” Phys. Rev. A 61, 060705 (2000).
[CrossRef]

1999 (3)

L. Knoll, K. G. Bhushan, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Lifetime measurement of Be(2s2p2 4P3/2) using an electrostatic ion trap,” Phys. Rev. A 60, 1710–1712 (1999).
[CrossRef]

A. Wolf, K. G. Bhushan, I. Ben Itzhak, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Lifetime measurement of He using an electrostatic ion trap,” Phys. Rev. A 59, 267–270 (1999).
[CrossRef]

R. Wester, K. G. Bhushan, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Radiative lifetime measurement of the a 3Σ+ metastable state of NO+ using a new type of electrostatic ion trap,” J. Chem. Phys. 110, 11830–11834 (1999).
[CrossRef]

1998 (1)

M. Dahan, R. Fishman, O. Heber, M. Rappaport, N. Altstein, W. J. van der Zande, and D. Zajfman, “A new type of electrostatic ion trap for storage of fast ion beams,” Rev. Sci. Instrum. 69, 76–83 (1998).
[CrossRef]

1997 (1)

D. Zajfman, O. Heber, L. Vejby-Christensen, I. Ben-Itzhak, M. Rappaport, R. Fishman, and M. Dahan, “An electrostatic bottle for long time storage of fast ion beams,” Phys. Rev. A 55, R1577–R1580 (1997).
[CrossRef]

1995 (1)

For a review of ion traps see, e.g., I. Bergstrom, C. Carlberg, and R. Schuch, eds., “Trapped charged particles and related fundamental physics, Proceedings of Nobel Symposium 91, Phys. Scr. T59, 21–434 (1995).

Alstein, N.

K. G. Bhushan, H. B. Pedersen, N. Alstein, O. Heber, M. L. Rappaport, and D. Zajfman, “Radiative lifetime of the metastable 1S0 state of Xe2+,” Phys. Rev. A 62, 012504 (2000).
[CrossRef]

D. Strasser, K. G. Bhushan, H. B. Pedersen, R. Wester, O. Heber, A. Lafosse, M. L. Rappaport, N. Alstein, and D. Zajfman, “Charge-transfer dissociation of vibrationally cold HeH+: evidence for and lifetime of the a 3Σ+ metastable state,” Phys. Rev. A 61, 060705 (2000).
[CrossRef]

L. Knoll, K. G. Bhushan, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Lifetime measurement of Be(2s2p2 4P3/2) using an electrostatic ion trap,” Phys. Rev. A 60, 1710–1712 (1999).
[CrossRef]

A. Wolf, K. G. Bhushan, I. Ben Itzhak, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Lifetime measurement of He using an electrostatic ion trap,” Phys. Rev. A 59, 267–270 (1999).
[CrossRef]

R. Wester, K. G. Bhushan, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Radiative lifetime measurement of the a 3Σ+ metastable state of NO+ using a new type of electrostatic ion trap,” J. Chem. Phys. 110, 11830–11834 (1999).
[CrossRef]

Altstein, N.

M. Dahan, R. Fishman, O. Heber, M. Rappaport, N. Altstein, W. J. van der Zande, and D. Zajfman, “A new type of electrostatic ion trap for storage of fast ion beams,” Rev. Sci. Instrum. 69, 76–83 (1998).
[CrossRef]

Amarant, B.

H. B. Pedersen, D. Strasser, B. Amarant, O. Heber, M. L. Rappaport, and D. Zajfman, “Diffusion and synchronization in an ion-trap resonator,” Phys. Rev. A 65, 042704 (2002).
[CrossRef]

D. Strasser, T. Geyer, H. B. Pedersen, O. Heber, S. Goldberg, B. Amarant, A. Diner, Y. Rudich, I. Sagi, M. Rappaport, D. J. Tannor, and D. Zajfman, “Negative mass instability for interacting particles in a 1D box: theory and an application,” Phys. Rev. Lett. 89, 283204 (2002).
[CrossRef]

Ben Itzhak, I.

A. Wolf, K. G. Bhushan, I. Ben Itzhak, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Lifetime measurement of He using an electrostatic ion trap,” Phys. Rev. A 59, 267–270 (1999).
[CrossRef]

Ben-Itzhak, I.

D. Zajfman, O. Heber, L. Vejby-Christensen, I. Ben-Itzhak, M. Rappaport, R. Fishman, and M. Dahan, “An electrostatic bottle for long time storage of fast ion beams,” Phys. Rev. A 55, R1577–R1580 (1997).
[CrossRef]

Bergstrom, I.

For a review of ion traps see, e.g., I. Bergstrom, C. Carlberg, and R. Schuch, eds., “Trapped charged particles and related fundamental physics, Proceedings of Nobel Symposium 91, Phys. Scr. T59, 21–434 (1995).

Bhushan, K. G.

D. Strasser, K. G. Bhushan, H. B. Pedersen, R. Wester, O. Heber, A. Lafosse, M. L. Rappaport, N. Alstein, and D. Zajfman, “Charge-transfer dissociation of vibrationally cold HeH+: evidence for and lifetime of the a 3Σ+ metastable state,” Phys. Rev. A 61, 060705 (2000).
[CrossRef]

K. G. Bhushan, H. B. Pedersen, N. Alstein, O. Heber, M. L. Rappaport, and D. Zajfman, “Radiative lifetime of the metastable 1S0 state of Xe2+,” Phys. Rev. A 62, 012504 (2000).
[CrossRef]

R. Wester, K. G. Bhushan, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Radiative lifetime measurement of the a 3Σ+ metastable state of NO+ using a new type of electrostatic ion trap,” J. Chem. Phys. 110, 11830–11834 (1999).
[CrossRef]

A. Wolf, K. G. Bhushan, I. Ben Itzhak, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Lifetime measurement of He using an electrostatic ion trap,” Phys. Rev. A 59, 267–270 (1999).
[CrossRef]

L. Knoll, K. G. Bhushan, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Lifetime measurement of Be(2s2p2 4P3/2) using an electrostatic ion trap,” Phys. Rev. A 60, 1710–1712 (1999).
[CrossRef]

Carlberg, C.

For a review of ion traps see, e.g., I. Bergstrom, C. Carlberg, and R. Schuch, eds., “Trapped charged particles and related fundamental physics, Proceedings of Nobel Symposium 91, Phys. Scr. T59, 21–434 (1995).

Dahan, M.

M. Dahan, R. Fishman, O. Heber, M. Rappaport, N. Altstein, W. J. van der Zande, and D. Zajfman, “A new type of electrostatic ion trap for storage of fast ion beams,” Rev. Sci. Instrum. 69, 76–83 (1998).
[CrossRef]

D. Zajfman, O. Heber, L. Vejby-Christensen, I. Ben-Itzhak, M. Rappaport, R. Fishman, and M. Dahan, “An electrostatic bottle for long time storage of fast ion beams,” Phys. Rev. A 55, R1577–R1580 (1997).
[CrossRef]

Diner, A.

D. Strasser, T. Geyer, H. B. Pedersen, O. Heber, S. Goldberg, B. Amarant, A. Diner, Y. Rudich, I. Sagi, M. Rappaport, D. J. Tannor, and D. Zajfman, “Negative mass instability for interacting particles in a 1D box: theory and an application,” Phys. Rev. Lett. 89, 283204 (2002).
[CrossRef]

Fishman, R.

M. Dahan, R. Fishman, O. Heber, M. Rappaport, N. Altstein, W. J. van der Zande, and D. Zajfman, “A new type of electrostatic ion trap for storage of fast ion beams,” Rev. Sci. Instrum. 69, 76–83 (1998).
[CrossRef]

D. Zajfman, O. Heber, L. Vejby-Christensen, I. Ben-Itzhak, M. Rappaport, R. Fishman, and M. Dahan, “An electrostatic bottle for long time storage of fast ion beams,” Phys. Rev. A 55, R1577–R1580 (1997).
[CrossRef]

Geyer, T.

D. Strasser, T. Geyer, H. B. Pedersen, O. Heber, S. Goldberg, B. Amarant, A. Diner, Y. Rudich, I. Sagi, M. Rappaport, D. J. Tannor, and D. Zajfman, “Negative mass instability for interacting particles in a 1D box: theory and an application,” Phys. Rev. Lett. 89, 283204 (2002).
[CrossRef]

Goldberg, S.

D. Strasser, T. Geyer, H. B. Pedersen, O. Heber, S. Goldberg, B. Amarant, A. Diner, Y. Rudich, I. Sagi, M. Rappaport, D. J. Tannor, and D. Zajfman, “Negative mass instability for interacting particles in a 1D box: theory and an application,” Phys. Rev. Lett. 89, 283204 (2002).
[CrossRef]

Heber, O.

D. Strasser, T. Geyer, H. B. Pedersen, O. Heber, S. Goldberg, B. Amarant, A. Diner, Y. Rudich, I. Sagi, M. Rappaport, D. J. Tannor, and D. Zajfman, “Negative mass instability for interacting particles in a 1D box: theory and an application,” Phys. Rev. Lett. 89, 283204 (2002).
[CrossRef]

H. B. Pedersen, D. Strasser, B. Amarant, O. Heber, M. L. Rappaport, and D. Zajfman, “Diffusion and synchronization in an ion-trap resonator,” Phys. Rev. A 65, 042704 (2002).
[CrossRef]

H. B. Pedersen, D. Strasser, S. Ring, O. Heber, M. L. Rappaport, Y. Rudich, I. Sagi, and D. Zajfman, “Ion motion synchronization in an ion-trap resonator,” Phys. Rev. Lett. 87, 055001 (2001).
[CrossRef] [PubMed]

K. G. Bhushan, H. B. Pedersen, N. Alstein, O. Heber, M. L. Rappaport, and D. Zajfman, “Radiative lifetime of the metastable 1S0 state of Xe2+,” Phys. Rev. A 62, 012504 (2000).
[CrossRef]

D. Strasser, K. G. Bhushan, H. B. Pedersen, R. Wester, O. Heber, A. Lafosse, M. L. Rappaport, N. Alstein, and D. Zajfman, “Charge-transfer dissociation of vibrationally cold HeH+: evidence for and lifetime of the a 3Σ+ metastable state,” Phys. Rev. A 61, 060705 (2000).
[CrossRef]

L. Knoll, K. G. Bhushan, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Lifetime measurement of Be(2s2p2 4P3/2) using an electrostatic ion trap,” Phys. Rev. A 60, 1710–1712 (1999).
[CrossRef]

R. Wester, K. G. Bhushan, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Radiative lifetime measurement of the a 3Σ+ metastable state of NO+ using a new type of electrostatic ion trap,” J. Chem. Phys. 110, 11830–11834 (1999).
[CrossRef]

A. Wolf, K. G. Bhushan, I. Ben Itzhak, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Lifetime measurement of He using an electrostatic ion trap,” Phys. Rev. A 59, 267–270 (1999).
[CrossRef]

M. Dahan, R. Fishman, O. Heber, M. Rappaport, N. Altstein, W. J. van der Zande, and D. Zajfman, “A new type of electrostatic ion trap for storage of fast ion beams,” Rev. Sci. Instrum. 69, 76–83 (1998).
[CrossRef]

D. Zajfman, O. Heber, L. Vejby-Christensen, I. Ben-Itzhak, M. Rappaport, R. Fishman, and M. Dahan, “An electrostatic bottle for long time storage of fast ion beams,” Phys. Rev. A 55, R1577–R1580 (1997).
[CrossRef]

Knoll, L.

L. Knoll, K. G. Bhushan, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Lifetime measurement of Be(2s2p2 4P3/2) using an electrostatic ion trap,” Phys. Rev. A 60, 1710–1712 (1999).
[CrossRef]

Lafosse, A.

D. Strasser, K. G. Bhushan, H. B. Pedersen, R. Wester, O. Heber, A. Lafosse, M. L. Rappaport, N. Alstein, and D. Zajfman, “Charge-transfer dissociation of vibrationally cold HeH+: evidence for and lifetime of the a 3Σ+ metastable state,” Phys. Rev. A 61, 060705 (2000).
[CrossRef]

Pedersen, H. B.

D. Strasser, T. Geyer, H. B. Pedersen, O. Heber, S. Goldberg, B. Amarant, A. Diner, Y. Rudich, I. Sagi, M. Rappaport, D. J. Tannor, and D. Zajfman, “Negative mass instability for interacting particles in a 1D box: theory and an application,” Phys. Rev. Lett. 89, 283204 (2002).
[CrossRef]

H. B. Pedersen, D. Strasser, B. Amarant, O. Heber, M. L. Rappaport, and D. Zajfman, “Diffusion and synchronization in an ion-trap resonator,” Phys. Rev. A 65, 042704 (2002).
[CrossRef]

H. B. Pedersen, D. Strasser, S. Ring, O. Heber, M. L. Rappaport, Y. Rudich, I. Sagi, and D. Zajfman, “Ion motion synchronization in an ion-trap resonator,” Phys. Rev. Lett. 87, 055001 (2001).
[CrossRef] [PubMed]

D. Strasser, K. G. Bhushan, H. B. Pedersen, R. Wester, O. Heber, A. Lafosse, M. L. Rappaport, N. Alstein, and D. Zajfman, “Charge-transfer dissociation of vibrationally cold HeH+: evidence for and lifetime of the a 3Σ+ metastable state,” Phys. Rev. A 61, 060705 (2000).
[CrossRef]

K. G. Bhushan, H. B. Pedersen, N. Alstein, O. Heber, M. L. Rappaport, and D. Zajfman, “Radiative lifetime of the metastable 1S0 state of Xe2+,” Phys. Rev. A 62, 012504 (2000).
[CrossRef]

Rappaport, M.

D. Strasser, T. Geyer, H. B. Pedersen, O. Heber, S. Goldberg, B. Amarant, A. Diner, Y. Rudich, I. Sagi, M. Rappaport, D. J. Tannor, and D. Zajfman, “Negative mass instability for interacting particles in a 1D box: theory and an application,” Phys. Rev. Lett. 89, 283204 (2002).
[CrossRef]

L. Knoll, K. G. Bhushan, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Lifetime measurement of Be(2s2p2 4P3/2) using an electrostatic ion trap,” Phys. Rev. A 60, 1710–1712 (1999).
[CrossRef]

A. Wolf, K. G. Bhushan, I. Ben Itzhak, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Lifetime measurement of He using an electrostatic ion trap,” Phys. Rev. A 59, 267–270 (1999).
[CrossRef]

R. Wester, K. G. Bhushan, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Radiative lifetime measurement of the a 3Σ+ metastable state of NO+ using a new type of electrostatic ion trap,” J. Chem. Phys. 110, 11830–11834 (1999).
[CrossRef]

M. Dahan, R. Fishman, O. Heber, M. Rappaport, N. Altstein, W. J. van der Zande, and D. Zajfman, “A new type of electrostatic ion trap for storage of fast ion beams,” Rev. Sci. Instrum. 69, 76–83 (1998).
[CrossRef]

D. Zajfman, O. Heber, L. Vejby-Christensen, I. Ben-Itzhak, M. Rappaport, R. Fishman, and M. Dahan, “An electrostatic bottle for long time storage of fast ion beams,” Phys. Rev. A 55, R1577–R1580 (1997).
[CrossRef]

Rappaport, M. L.

H. B. Pedersen, D. Strasser, B. Amarant, O. Heber, M. L. Rappaport, and D. Zajfman, “Diffusion and synchronization in an ion-trap resonator,” Phys. Rev. A 65, 042704 (2002).
[CrossRef]

H. B. Pedersen, D. Strasser, S. Ring, O. Heber, M. L. Rappaport, Y. Rudich, I. Sagi, and D. Zajfman, “Ion motion synchronization in an ion-trap resonator,” Phys. Rev. Lett. 87, 055001 (2001).
[CrossRef] [PubMed]

K. G. Bhushan, H. B. Pedersen, N. Alstein, O. Heber, M. L. Rappaport, and D. Zajfman, “Radiative lifetime of the metastable 1S0 state of Xe2+,” Phys. Rev. A 62, 012504 (2000).
[CrossRef]

D. Strasser, K. G. Bhushan, H. B. Pedersen, R. Wester, O. Heber, A. Lafosse, M. L. Rappaport, N. Alstein, and D. Zajfman, “Charge-transfer dissociation of vibrationally cold HeH+: evidence for and lifetime of the a 3Σ+ metastable state,” Phys. Rev. A 61, 060705 (2000).
[CrossRef]

Ring, S.

H. B. Pedersen, D. Strasser, S. Ring, O. Heber, M. L. Rappaport, Y. Rudich, I. Sagi, and D. Zajfman, “Ion motion synchronization in an ion-trap resonator,” Phys. Rev. Lett. 87, 055001 (2001).
[CrossRef] [PubMed]

Rudich, Y.

D. Strasser, T. Geyer, H. B. Pedersen, O. Heber, S. Goldberg, B. Amarant, A. Diner, Y. Rudich, I. Sagi, M. Rappaport, D. J. Tannor, and D. Zajfman, “Negative mass instability for interacting particles in a 1D box: theory and an application,” Phys. Rev. Lett. 89, 283204 (2002).
[CrossRef]

H. B. Pedersen, D. Strasser, S. Ring, O. Heber, M. L. Rappaport, Y. Rudich, I. Sagi, and D. Zajfman, “Ion motion synchronization in an ion-trap resonator,” Phys. Rev. Lett. 87, 055001 (2001).
[CrossRef] [PubMed]

Sagi, I.

D. Strasser, T. Geyer, H. B. Pedersen, O. Heber, S. Goldberg, B. Amarant, A. Diner, Y. Rudich, I. Sagi, M. Rappaport, D. J. Tannor, and D. Zajfman, “Negative mass instability for interacting particles in a 1D box: theory and an application,” Phys. Rev. Lett. 89, 283204 (2002).
[CrossRef]

H. B. Pedersen, D. Strasser, S. Ring, O. Heber, M. L. Rappaport, Y. Rudich, I. Sagi, and D. Zajfman, “Ion motion synchronization in an ion-trap resonator,” Phys. Rev. Lett. 87, 055001 (2001).
[CrossRef] [PubMed]

Schuch, R.

For a review of ion traps see, e.g., I. Bergstrom, C. Carlberg, and R. Schuch, eds., “Trapped charged particles and related fundamental physics, Proceedings of Nobel Symposium 91, Phys. Scr. T59, 21–434 (1995).

Strasser, D.

D. Strasser, T. Geyer, H. B. Pedersen, O. Heber, S. Goldberg, B. Amarant, A. Diner, Y. Rudich, I. Sagi, M. Rappaport, D. J. Tannor, and D. Zajfman, “Negative mass instability for interacting particles in a 1D box: theory and an application,” Phys. Rev. Lett. 89, 283204 (2002).
[CrossRef]

H. B. Pedersen, D. Strasser, B. Amarant, O. Heber, M. L. Rappaport, and D. Zajfman, “Diffusion and synchronization in an ion-trap resonator,” Phys. Rev. A 65, 042704 (2002).
[CrossRef]

H. B. Pedersen, D. Strasser, S. Ring, O. Heber, M. L. Rappaport, Y. Rudich, I. Sagi, and D. Zajfman, “Ion motion synchronization in an ion-trap resonator,” Phys. Rev. Lett. 87, 055001 (2001).
[CrossRef] [PubMed]

D. Strasser, K. G. Bhushan, H. B. Pedersen, R. Wester, O. Heber, A. Lafosse, M. L. Rappaport, N. Alstein, and D. Zajfman, “Charge-transfer dissociation of vibrationally cold HeH+: evidence for and lifetime of the a 3Σ+ metastable state,” Phys. Rev. A 61, 060705 (2000).
[CrossRef]

Tannor, D. J.

D. Strasser, T. Geyer, H. B. Pedersen, O. Heber, S. Goldberg, B. Amarant, A. Diner, Y. Rudich, I. Sagi, M. Rappaport, D. J. Tannor, and D. Zajfman, “Negative mass instability for interacting particles in a 1D box: theory and an application,” Phys. Rev. Lett. 89, 283204 (2002).
[CrossRef]

van der Zande, W. J.

M. Dahan, R. Fishman, O. Heber, M. Rappaport, N. Altstein, W. J. van der Zande, and D. Zajfman, “A new type of electrostatic ion trap for storage of fast ion beams,” Rev. Sci. Instrum. 69, 76–83 (1998).
[CrossRef]

Vejby-Christensen, L.

D. Zajfman, O. Heber, L. Vejby-Christensen, I. Ben-Itzhak, M. Rappaport, R. Fishman, and M. Dahan, “An electrostatic bottle for long time storage of fast ion beams,” Phys. Rev. A 55, R1577–R1580 (1997).
[CrossRef]

Wester, R.

D. Strasser, K. G. Bhushan, H. B. Pedersen, R. Wester, O. Heber, A. Lafosse, M. L. Rappaport, N. Alstein, and D. Zajfman, “Charge-transfer dissociation of vibrationally cold HeH+: evidence for and lifetime of the a 3Σ+ metastable state,” Phys. Rev. A 61, 060705 (2000).
[CrossRef]

R. Wester, K. G. Bhushan, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Radiative lifetime measurement of the a 3Σ+ metastable state of NO+ using a new type of electrostatic ion trap,” J. Chem. Phys. 110, 11830–11834 (1999).
[CrossRef]

Wolf, A.

A. Wolf, K. G. Bhushan, I. Ben Itzhak, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Lifetime measurement of He using an electrostatic ion trap,” Phys. Rev. A 59, 267–270 (1999).
[CrossRef]

Zajfman, D.

H. B. Pedersen, D. Strasser, B. Amarant, O. Heber, M. L. Rappaport, and D. Zajfman, “Diffusion and synchronization in an ion-trap resonator,” Phys. Rev. A 65, 042704 (2002).
[CrossRef]

D. Strasser, T. Geyer, H. B. Pedersen, O. Heber, S. Goldberg, B. Amarant, A. Diner, Y. Rudich, I. Sagi, M. Rappaport, D. J. Tannor, and D. Zajfman, “Negative mass instability for interacting particles in a 1D box: theory and an application,” Phys. Rev. Lett. 89, 283204 (2002).
[CrossRef]

H. B. Pedersen, D. Strasser, S. Ring, O. Heber, M. L. Rappaport, Y. Rudich, I. Sagi, and D. Zajfman, “Ion motion synchronization in an ion-trap resonator,” Phys. Rev. Lett. 87, 055001 (2001).
[CrossRef] [PubMed]

D. Strasser, K. G. Bhushan, H. B. Pedersen, R. Wester, O. Heber, A. Lafosse, M. L. Rappaport, N. Alstein, and D. Zajfman, “Charge-transfer dissociation of vibrationally cold HeH+: evidence for and lifetime of the a 3Σ+ metastable state,” Phys. Rev. A 61, 060705 (2000).
[CrossRef]

K. G. Bhushan, H. B. Pedersen, N. Alstein, O. Heber, M. L. Rappaport, and D. Zajfman, “Radiative lifetime of the metastable 1S0 state of Xe2+,” Phys. Rev. A 62, 012504 (2000).
[CrossRef]

L. Knoll, K. G. Bhushan, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Lifetime measurement of Be(2s2p2 4P3/2) using an electrostatic ion trap,” Phys. Rev. A 60, 1710–1712 (1999).
[CrossRef]

A. Wolf, K. G. Bhushan, I. Ben Itzhak, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Lifetime measurement of He using an electrostatic ion trap,” Phys. Rev. A 59, 267–270 (1999).
[CrossRef]

R. Wester, K. G. Bhushan, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Radiative lifetime measurement of the a 3Σ+ metastable state of NO+ using a new type of electrostatic ion trap,” J. Chem. Phys. 110, 11830–11834 (1999).
[CrossRef]

M. Dahan, R. Fishman, O. Heber, M. Rappaport, N. Altstein, W. J. van der Zande, and D. Zajfman, “A new type of electrostatic ion trap for storage of fast ion beams,” Rev. Sci. Instrum. 69, 76–83 (1998).
[CrossRef]

D. Zajfman, O. Heber, L. Vejby-Christensen, I. Ben-Itzhak, M. Rappaport, R. Fishman, and M. Dahan, “An electrostatic bottle for long time storage of fast ion beams,” Phys. Rev. A 55, R1577–R1580 (1997).
[CrossRef]

J. Chem. Phys. (1)

R. Wester, K. G. Bhushan, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Radiative lifetime measurement of the a 3Σ+ metastable state of NO+ using a new type of electrostatic ion trap,” J. Chem. Phys. 110, 11830–11834 (1999).
[CrossRef]

Phys. Rev. A (6)

K. G. Bhushan, H. B. Pedersen, N. Alstein, O. Heber, M. L. Rappaport, and D. Zajfman, “Radiative lifetime of the metastable 1S0 state of Xe2+,” Phys. Rev. A 62, 012504 (2000).
[CrossRef]

D. Strasser, K. G. Bhushan, H. B. Pedersen, R. Wester, O. Heber, A. Lafosse, M. L. Rappaport, N. Alstein, and D. Zajfman, “Charge-transfer dissociation of vibrationally cold HeH+: evidence for and lifetime of the a 3Σ+ metastable state,” Phys. Rev. A 61, 060705 (2000).
[CrossRef]

D. Zajfman, O. Heber, L. Vejby-Christensen, I. Ben-Itzhak, M. Rappaport, R. Fishman, and M. Dahan, “An electrostatic bottle for long time storage of fast ion beams,” Phys. Rev. A 55, R1577–R1580 (1997).
[CrossRef]

L. Knoll, K. G. Bhushan, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Lifetime measurement of Be(2s2p2 4P3/2) using an electrostatic ion trap,” Phys. Rev. A 60, 1710–1712 (1999).
[CrossRef]

A. Wolf, K. G. Bhushan, I. Ben Itzhak, N. Alstein, D. Zajfman, O. Heber, and M. Rappaport, “Lifetime measurement of He using an electrostatic ion trap,” Phys. Rev. A 59, 267–270 (1999).
[CrossRef]

H. B. Pedersen, D. Strasser, B. Amarant, O. Heber, M. L. Rappaport, and D. Zajfman, “Diffusion and synchronization in an ion-trap resonator,” Phys. Rev. A 65, 042704 (2002).
[CrossRef]

Phys. Rev. Lett. (2)

D. Strasser, T. Geyer, H. B. Pedersen, O. Heber, S. Goldberg, B. Amarant, A. Diner, Y. Rudich, I. Sagi, M. Rappaport, D. J. Tannor, and D. Zajfman, “Negative mass instability for interacting particles in a 1D box: theory and an application,” Phys. Rev. Lett. 89, 283204 (2002).
[CrossRef]

H. B. Pedersen, D. Strasser, S. Ring, O. Heber, M. L. Rappaport, Y. Rudich, I. Sagi, and D. Zajfman, “Ion motion synchronization in an ion-trap resonator,” Phys. Rev. Lett. 87, 055001 (2001).
[CrossRef] [PubMed]

Phys. Scr. (1)

For a review of ion traps see, e.g., I. Bergstrom, C. Carlberg, and R. Schuch, eds., “Trapped charged particles and related fundamental physics, Proceedings of Nobel Symposium 91, Phys. Scr. T59, 21–434 (1995).

Rev. Sci. Instrum. (1)

M. Dahan, R. Fishman, O. Heber, M. Rappaport, N. Altstein, W. J. van der Zande, and D. Zajfman, “A new type of electrostatic ion trap for storage of fast ion beams,” Rev. Sci. Instrum. 69, 76–83 (1998).
[CrossRef]

Other (2)

C. E. Nielsen, A. M. Sessler, and K. R. Symon, High Energy Accelerators and Instrumentation (CERN, Geneva, 1959), pp. 239–254.

For a review see J. Lawson, The Physics of Charged Particle Beams, 2nd ed. (Clarendon, Oxford, 1988).

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Figures (5)

Fig. 1
Fig. 1

Schematic view of the ion beam trap. The bunch is injected through the left-hand side of the trap. The central ring is the pick-up electrode. Note that the section between the innermost electrodes of the two mirrors is essentially field free.

Fig. 2
Fig. 2

Signal observed with the pick-up electrode for an initially 170-ns wide bunch of Ar+ at 4.2 keV for four time intervals after injection: (a) 0.2–0.22 ms, (b) 0.3–0.32, (c) 0.5–0.52, and (d) 1–1.02 ms.

Fig. 3
Fig. 3

Diffusion constant ΔT as a function of the voltage on the last electrode of the mirrors.

Fig. 4
Fig. 4

Signal observed with the pick-up electrode for an initially 170-ns wide bunch of Ar+ at 4.2 keV for four time intervals after injection: (a) 0.5–0.52, (b) 15–15.02, (c) 50–50.02, and (d) 90–90.02 ms.

Fig. 5
Fig. 5

Evolution of a bunch of Ar+ ions at 4.2 keV initially 170 ns wide, under the condition of synchronization. (a) Bunch width Wn, (b) bunch area A.

Equations (8)

Equations on this page are rendered with MathJax. Learn more.

L/4<f<,
Wn=(W02+n2ΔT2)1/2,
V(X)=0|X|L/2F(|X|-L/2)|X|>L/2,
T=4L2v+mvqF.
dTdv=4mqF-2Lv2=0.
0<kT2m*<4,
m*=-m|P0|TdTd|P0|-1,
dTd|P0|>0.

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